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2 nd year 2nd sem 1st mid Rl
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KOM 1. For a. Double Hooke's joint ,the speed of driving and drive~aft are equal if :-.ltwo fork's on the
intermediate shaft lie in the same plane ~ ~ ~ . ~ )c-~ s: ~ dO.· C~ N"\.
2. For a Double Hooke's joint ,the speed of driving and driven shaft are equal if :->The driving shaft and
driven shaft are equally inclined to the intermediate shaft
3. Double Hooke's joint requires :->two Hooke's joint and one intermediate S~)\(1 4. Double Hooke's joint is used to maintain :-> constant velocity ratio of dr~ng and driven shafts 5. A double universal joint is used to connect two shafts in the same llie'intennediate shafts is inclined at a n angle of 18° to the driving shaft as well as the driven shaf .Driving a ,is running at constant speed of 420 rpm. Find the maximum and minimum speed of the driven shaft, if the 0 forks on the intennediate shaft lie in perpendicular planes :->464,380rpm .. 6. A double universal joint is used to connect two shafts in the s~e plane. the intennediate shafts is inclined at a n angle of 19° to the driving shaft as well as the driveR shaft(.Driving shaft, is running at constant speed of 500 rpm. Find the maximum and minimum speed oftlie drixen shaft, if the two forks on the intennediate shaft lie in perpendicular planes :->559,447rpm ~ 7. A double universal joint is used to connect two }nafts ~he same plane. the intermediate shaft is inclined at a n angle of 17° to the driving shaft as well as the dti~rkhaft. Driving shaft ,is running at constant speed of 500 rpm. Find the maximum and minimum speed 546,457rpm "8. A double universal joint is used to conn~ct ~\o sh1tfts in the same plane. the intermediate shaft is inclined at a n angle of 20° to the driving shaft as wel)~s tlle.,driven shaft .Driving shaft ,is running at constant speed of 500 rpm. Find the maximum and mi~m,spfed of the driven shaft, if the two forks on the intennediate shaft lie in perpendicular planes :->566,44h;pm. ./ . 9. A double universal joint is used to c~ct two shafts in the same plane. the intermediate shaft is inclined at a n angle of 20° to the driving Shaft~ 11 as the driven shaft .Driving shaft ,is running at constant speed of 500 rpm. Find the maximum and . lmum speed of the intennediate shaft :->532,470rpm 10. In a Double Hooke's joint ,t~e' turned by driving shaft and the driven shaft are equal, hence their ;
>angle velocities are equa
11 . In case of a Hooke's j{) ~phe ,m imum speed of driven shaft is
(0 = angular speed of drivep shaft
a = angle of inclination of thS' driven shaft with driving shaft ;_>w~/ rA:;().
12. In a Double Hooke.:,.s j oint,the maximum fluctuations of the speed of the driven shaft wili be a = angle of inclinat~n of the driven shaft with driving shaft, if the two forks on the intermediate shaft lie in perpendicular planes :-> cos 2 a to l!t:d.,,'la 13. The fluctuati¥ the angular speed of the driven shaft is directly proportional to --------- of the angle
between thtrt':"f shafts :->Square .
14. The transmission of power from the engine to the rear axle of an automobile is by means of :->Hooke's joint 15. In automomies the power is transmitted from gear box to differential through :->Hook joint 16. The ~ingl; hook joint consists of ___________ :->Two forks 17. With single Hook Joint, it is possible to connec~o shafts the axe~ of which have an angular misalignment up t40o l-:J ~ t..:J . ~ o.m..C' cd 0. .. Co~ I8 .~tb single Hook Joint, it is possible to connect two shafts the axes of which have an angular misalignment up to :_>40° 19. The driving and driven shafts connected by a Hooke's joint will have equal speeds, if :->tan8 = ±Vl(:l).~ 20. The ratios of velocities of the shafts connected by Hooke's joint is given by
(where Nand Nl = speed o(driving and driven shafts(in r.p.m)respectively,
8= angle through whieh the arms of the cross turn, and
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= angle of mclmatlOn between the two shafts) :->NT =
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1!. in i! Hooke.'s joint ,the angle between the shaf.s :5 :.:fsvt aI will be the angle turned by the driving shaft when
. .IS maxunum . rano :-> Oo( or) 180° ..... __::':.7~ r ~ Hooke's joint connecting the driving a.'ld d..-i,.en shafts, the maximum fluctuation of speed of driven st...:: is :->the difference between maximum and minimum angular speed 23. ·.:. ~e diagram, which shows the variation of the angular velocities of the driven shaft and driving shafts for one ete revolution is :->Polar velocity diagram ..o.~. Lruversal Hooke's joint is used to connect the :->which are non parallel and intersecting _5. The Ackennan steering mechanism is preferred t~e Davis type ip aptomobile because :->The former ha,ing turning pair N f,...J fr...,:) . <-b x.D.w-\..r'o... d d lA. C e "" _6. The whole mechanism of the Ackerman steering gear is on :->the back of the front wheels _ . . Ackerman steering has :->only turning pairs "': 8. Two shafts are connected by a Hooke's joint. The maximum angular speed is 700rpm and minimum angular speed is 650rpm. Find the maximum fluctuating of speed of the driven shaft is :->50rpm 29. A single Hooke's joint is used to cormect the two shafts .The driving sh~ft. .is rotating at a unifonn speed of 600 rpm and the angle between the shaft is 16°.Find the minimum spe&l of driven shaft is :->576rpm 30. A single Hooke's joint is used to cormect the two shafts .The drivwg,shaft is rotating at a unifonn speed of
600 rpm and the angle between the shaft is 16°.Find the maximurhlpeed of driven shaft is :->624rpm
31. In a Hooke's joint ,the angle between the shafts is 20°. What 'flq,be the angle turned by the driving shaft when velocity ratio is minimum :->90 0 (or) 270 0 32. In Hooke's joint, the speed of the driven shaft is maximufn when :->" = 0 and 180° 2 33. In Hooke's joint, the angular acceleration will be maximum or minimum if :->Cos2fJ :::; 2!fin a/2 - ,9in 2 u 34. In Hook's joint, the total fluctuation speed of the d~n shaft is
WI = angular speed of driving shaft
W2 = angular speed of driven shaft :-> W \ TU1'/,():$L .
35. For a Hooke's joint cormecting the drivin~and ,drjven shafts, the maximum speed of driven shaft (w2) is (w 1 speed of driving shaft) :_>Wl/CO.')Cc 36. Ife and 0 are the angles turned by driving an
between e, a and a is ~V
(where a= angle of inclination of tpe dtj~en shaft with driving shaft) :->tan e=cosa tan 8 .
37. The distance between the pivots o~ fr'ont axle of a Davis steering gear is 6.5m. The inclination ofthe track arm to the longitudinal axes is 180. Fmd the wheelbase Vehicle :->10 . " 38. The distance between the pivots of"t:he front axle ofa Davis steering gear is 5.5m. The inclination of the track arm to the longitudinal axes is l\7Q. . Find the wheelbase vehicle :->8.99 39. The distance b~twe~n the pi~R!§ ~fth~ front axle of a Davis ~teering gear is 4.5m. The inclination of the track arm to the longitudmal a~fs l~ 15 . Fmd the wheelbase Vehicle :->8.4 40. Davis steering gear s~y sliding pairs 41. The distance betw n the Rivots of the front axle of a Davis steering gear is 2.25m.The wheel base is
6.7m.Find the inchn tion or the track ann to the longjtudinal axes ofthe vehicle :->9.09°
42. The distance betwee , e pivots of the front axle of a Davis steering gear is 3.5m.The wheel base isS.7m.Find the inclination of the track ann to the longitudinal axes of the vehicle: -> 16.69° 43. The distance betwe en the pivots of the front axle of a Davis steering gear is 2.5m.The wheel base is 4.7m.Find the inclination~ the track arm to the longitudinal axes of the vehicle :->14.84° 44. The fundam~~tal equation for correct steering of a Davis steering gear is :->cot 8 - cot a =clb 45. The distanc~t)etween the pivots of the front axle of a Davis steering gear is 1.5m.The wheel base is 3.7m.Find the in~}luon of the track arm to the longitudinal axes of the vehicle :->11.42° 46. The disfiJpce between the pivots of the front axle of a Davis steering gear is 1.25m.The wheel base is
2.7m.-Ripd the inclination of the track arm to the longitudinal axes of the vehicle :->13.03° .
....-. I 47. Steering is done by means of:->Front wheels only 48.\Ste(ring gear is :->Mechanism /,-.:l e-::.~ . ~.Q~d a., Co",",
49. ~der to avoid skidding; the front wheels must tum about the same instantaneous center which :->lies on
the the axis of back wheels
50. The condition for correct steering is that the four wheels must tum about :->Same instantaneous center 51. The condition for correct steering of Davis steering gear is
(where a =AngJe of inclination of the links to the vertical.) :->tan a=c/2b
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,ving body changing from one instant t;) :mother, the locus of all such _:e;s :5 mo>'.-n as :->centrode : e: of rotation 2La rigid disc rc¥li1)g on a plane rigid surface is located at :->the point ,or
cmntact ,y..:l ~ !,-.J . -b k:'O f'r'{I ~ c-Io.... • Co ,..,...... 54. How many fixed instantaneous centers are there in a four bar mechanism :->2 55. The locus of the instantaneous axis is known as :->axode 56. The locus of the instantaneous center relative to the body it self is called :->body cent rode 57. A line drawn through an instantaneous center and perpendicular to the plane of motion is called : >instantaneous axis 58. The locus of the instantaneous center in space during a definite motion of the body is called :->space centro de 59. The instantaneous center of motion of a rigid thin disc wheel rolling on a plane rigidsurface as shown in figure (a) is located at a point
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60. The instan . taneous cent¢:~ o a ~id thin disc rolling on a plane rigid surface is located at :->the point of contact L\ \ 61. A wheel is rolling on a) i' t level track with a uniform velocity '1)' .The instantaneous velocity of a point on the wheel lying at the mIG point of a radius :->varies between 3 ulland -ull 62. When a slider moves en a fixed link having curved surface their instantaneous centers lies :->at the center of curvature ~:> 63. When a slide~pves ona fixed link having _______ ~ their instantaneous centers lies at infinity : >straight surfa ,e 64. When two link~ a e connected by a pin joint, their instantaneous center lies :->at the pin joint 65. The in~ant ·ous centers, which move as the mechanism, but joints are of permanent nature, are called : >perma t instantaneous centers 66. KennedYs,.1 eorem states that, if three bodies have plane motions, t?eir instantaneous centre lie on a : >Straighvline N t..;:,}....) . .f="><",o...tI'\~ C~~l 67. Th'e.to.?al'number of instantaneous center for a mechanism consisting of 'n' links are :->~ 68. A .sli~ moving on a fixed link having constant radius of curvature will have its instantaneous centers :->at the center of circle 69. Which is the false statement about the properties of instantaneous center :->the double centre can be denoted either by 02 tOr 0 1'2, but proper selection should be made
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70, ~us c enter of rotation of a link in a four bar mechanism lies on :->a point obtained by intersection ~ding adjoining links ()f links and instantaneous center in a reciprocating engine mechanism are :->4,6 ' n will be subjected to Conolis acceleration when that body is :->restrained to rotate 'While ..Rother body mnponent of acceleration depends upon :->velocity of slider ..;s component of acceleration is taken in to account for :->quick return motion mechanism 75 , Z ?OInt moves along a straight line ,its acceleration will have :->tangential component 76. T=.e ~ of gnn.ity of a coupler link in a ~ouf bar mechanism will experience :->both linear and angular ention ~ ~~ . F><-~~S'a..~ dlA ' ('(!::1m. --- . The Coriolis component of acceleration leads the sliding velocity by :_>90° r- - g. A slidermoyes at a velocity u on a link revolving at 0) rad/sec. The coriolis c ~rAponent of acceleration is :
"=t:;;l
79.~"VCOriOlis component of acceleration acts :->perpendicular to the Sl~g surface
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80. The direction of Conolis acceleration is :->Depends upon the dire§ n of the velocity of the point ()n the
path ,
81. Coriolis component is considered if :->the point considered moves on a path that rotates 82. Consider the following statements regarding motions in ma?~s . 1. Tangential acceleration is a function of angular vel6 \ ity 'e)d the radial acceleration is a function of angular acceleration 2. The resultant acceleration of a point A with re\pect .tOa point B on a rotating link. is Perpendicular to AB 3. The direction of relative velocity of point A w..~ tol/point B on a rotating link is perpendicular to AB Which of these statements is/are correct? :->3 aloni 83. The sense of conolis component 2wv is same as t~ of the relative velocity vector u rotated at :->90° in the
direction of rotation of the link containing th ath
84. The tangential component of acCeleratiOn~ \e .lider w. r. t the coincident point on the link is called -.------- - :->radial component \ . 85. Coriolis component of acceleration exits w never a point moves along a path that has :->rotation motion 86. A body in motion will be subjected to QQrrolis acceleration when that body is :->restrained to rotate while
sliding over another body
87. The coriolis component of acceleraiioscillating cylinder mechanism 88. When a point at the end of 5l 1inJ(m\wes with constant angular velocity, its acceleration will have :->
component
f " 89. Absolute (or) total accel tit~tion o'f~a link is :->sum of tangential and radial acceleration 90. A mechanism has 7 links ~th binary pairs except one which is a tmning pair the number of ins: -;.~ centers of this mechanism ar'eJ >21 91. The total acceleration of Wrelative to A is :_>.[(w2 AB '* AB)2 + (0 '* AB)2} 92. The acceleration of a ~J B w. r. to A (when the points A and B lie on the same rigid link) is __._____ _ :-·~.f8~ tJHA/ BA + () * BA 93. For a sliding and ~ing pair, the rubbing velocity is :->00 r 94. If a pin connects~ne sliding member and the other turning member, the angular velocity of the sliding
member is :->zer ·
95. A slider sl' e ong a straight link with uniform velocity 'u' and the link rotates about a point with uniform angular s _. ( 0) . The coriolis component of acceleration of a pointon the slider fit 'J distance r from the centre of rotation is ->2"-'l! perpendicular to the link ~fr.:::. f,...) • ..[".>< a.1V'\r'a.d do...· c.(!)"" 96. In a Wdf. rank mechanism ,the maximum acceleration of slider is obtained when the crank is :->at the inner dead "&Qtre position . 97. A rod oflength 1m is sliding in a comer as shown in figure (a) . At an instant when the rod makes an angle of 30° with the horizontal plane, the velocity of point A on the rod is 1mls.The angular velocity of the rod at this instant is
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1
1m/Sec
~~ IN . tl<'~N'\ <;:0 cLJ ~ . C'O rt\
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:->2 rad/s
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Figure(a)
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98. The velocity of slider crank mechanism is given by Where L= length of stroke, l=length of connecting rod,
.
ro=angular speed of crank, 9=crank angle :_>(wLI2)1.~n(J + (L/41).'tin2D]
99. A slider slides at 10 cmls on a link, which is rotatin~t '6Orpm is subjected to Coriolis acceleration of 2 ( magnitude :->40 Pi cmlsec 100. A point B on a rigid link AB moves with re~ect to A with angular velocity
lAB
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101. If a body is moving on a straight p;t~the radius 'r'will be infinity and u /r will be equal to :->0 102. Mechanical advantage is :->thtf Nuto of the load to the effort 103. Consider the four bar mechanl~ as shown in figure (a) .The driving link rotates uniformly at a speed of 100 rpm clockwise .The velocit~A will be
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104. The total acceleration of B relative to A is inclined to AB at an angle, tangent of which is given by (ex. angular acceleration,co-angular velocity) :-> oJ 0)2 105 . In a four bar mechanism, crank is rotating uniformly at 180 rpm in the clockwise direction as sh o figure (a) . Find the velocity B w .r .t A is ___________ __ _
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106. In a four bar mechanism, the driver torque is 5~-nyattd driven torque is 220N-m. Find the value of mechanical advantage. :->4.4 107. In a four bar mechanism, the driver link ~s a ~gUlar velocity is 12.56 rad/sec and driven link has a angular velocity is 2 rad/sec. Find the value ofmecr am§l advantage :->6.28 108. When pin connects one sliding member a~ d e other turning member ,the angular velocity of the . sliding member is zero, then the rubbing velocity a ' ~he pin joint is :->00 r 109. If a body is moving,vith uniform velo<1tY} . en the tangential acceleration will become :->0 110. In a rigid link OA, velocity of A w( r. t t'6"o will be :->Perpendicular to OA 111. A link is rotating about o. VelocitY'oij0int P on link w. r. t point Q on link will be perpendicular to : >PQ ~ 112. Which of the follo\ving compoI{dli is having translation and rotation motion :->connecting rod 113. The combined motion ofrotq[~?t. and translation of a link from its initial position to new position can be represented as a pure rotation about certain point. This point is known as :->instantaneous centre of rotation 114. Ifa body rotates abbu~ed point in such a way that all its particles move in circular path, the body is said to have :->rotati~~motio!l 115. If a body moves ~n such a way that all its particles move in parallel planes and travel the same distance then the body is said to h'!ll e ~trans1atory motion 116. The velocity analysis is used to determine :->acceleration of the points 117. The directiofl of linear velocity of any point on a link with respect to another point on the same link is :->perpendicular ~~e link joining the points . 118. The mMoJtude oflinear velocity of a point B on a link AB relative to point A is :->00* AB 119. The ma~'itude of velocity of points on a rigid link is :->directly proportional to the distance from
~he poi ~s t6)De instantaneous center and is perpendicular to the line joining the point to the
mstant~?'\~.s center 120. Iftne two links OA and OB in turns clock wise direction with ~lar velocities o( ml and (i)2 rad/sec then th~bbing velocity at the pinjoin~ is :->( 001- (02)r HJ....jIN· t-K"'a.MJ:. ~J d o.. · COM 121. \ The two links OA and OB are connected by a pin joint at '0'. If the link OA turns with angular velde,!ly CD 1 rad/sec in the cIock wise direction and the link OB turns with angular velocity (i)2 rad/sec in the anti clock wise direction, then the rubbing velocity at the pin joint 0 is (where r is the radius at the pin at 0 ) :->( (i)j+ (02)r 122. Pantograph mechanism is used :->To produce the path traced out by a point on enlarged (or)
reduced scale
123 . The nwnber of links in a pantograph mechanism is equal to :->5
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124. In a pantograph, ell the pairs are :->Turning pairs 125. Straight line motion mechanism used in :->Engine indicators 126. The approximate straight line mechanism is a :->Four bar linkage 127. Which mechanism is used for exact straight line motion :->Hart's mechanism 128. Watt's mechanism is used in stearn engines to guiqe the piston rod in a cylinder to have an : ~ ~ N ' .:r;'x'~ Q.dd 0.. ~ C O'IY"\ . >Straight-line motion 129. Which one of the following is copying mechanism :->Pantograph. 130. Watt's mechanism has _________ links :->4 131. Scott Russell mechanism has :->4 links 132. How many fixed links are in a Hart's mechanism :-> 1 133. Grasshopper mechanism is used in engine mechanism which gives :->L stroke witb a very short crank 134. The indicator using Watt mechanism is known as :->Richard indlcator ' 135. Hart's mechanism has :-> 6 links 136. Scott Russell's mechanism is made up of :->Sliding pairs and turning pairs 137. The mechanism shown in figure (a) represents ./
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In a Robert's tbe links are made in the fonn of :->Trapezium Robert's meChanis~i;';\~>four bar chain mechanism What are the r1: 1 :
138. 139. 140.
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141. How many fixed linKs in a TchebichefT mechanism: -> 1 142. Tchebicheff mechanism has :->4 links 143 . Among the f~ lowing , which mechanism is called modification of modified Scott Russell mechaillsm :-> Grasshopl'Je{ F c.banism 144. Peaucall ~ mechanism has :->8 links 145 . The Peallcallier and Hart's mechanism are producing exact straight line motion with the help of : >turnin~~( . 146. Ho'X. m any fixed links are in a Peaucellier mechanism :-> 1 147. -Whi~h one of the following mechanism is used for approximate ~traight-line motion? :-> Watt cban' m ~~N · {;)cD.~ ~ClI... J d C\. c o",", 148. Lower pairs are fonned when :->The two elements have .s urface contact and the motion is pur-... · turm g (or) sliding 149. In elliptical trammels :->two pairs turning and two pairs sliding 150. The main disadvantage of the sliding pair is that it :->wears rapidly 151. Which of the following . is an inversion . of a four bar chain :-> Beam engine 152. Which of the following is an inversion of a Single slider crank chain :->Pendulum
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In a Double slider crank mechanism consists of :->Two turning pair and two sliding pair In a Single slider crank chain :->Three are turning pairs and one is a sliding pair Wbitworth quick return mechanism is an inversion of :->Single slider crank chain Oldham's coupling and elliptic trammels are the inversion of :->Double slider crank chain A point on a connecting link (excluding end \,0ints) of a double slider crank mechanism traces a: 'cal path ~~N ' ~~a.N'\So.c-lcl ~. C~"""' 158. Do.nkey pump is the inversion of :->double slider crank chain' 159_ The Whitworth quick return mechanism is formed in a slider crank chain when the :->smallest link is a filed link 160 . If the number of links in a mechanism one equal to L, then the number of possible inversions are equal
153. 154. 155 . 156. 157.
to :->L 161. Match the following List-l and List-2 Li~t
Single slider crank chain Dubie slider ('..rank dUlin eros; hlider cr;,mk chain
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2 3 4
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AB CD? :->
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EUiptic.:U trammel
Rapson '$ slide
A<:keJ"liiatl steering
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163. In a figure (a) shows a quick reJ9rn mechanism .The crank OA rotates clockwise uniformly OA=2cm.OO'=4cm.The ratio oftime1or forward motion to that for return motion is
:-\
When one of the links of a kinematic chain is fixed, the chain is known as :->mechanism A type writer constitute a :->Mechanism Find the number of degrees of freedom as shown in figure (a)
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Figure(a)
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167. Ifa kinematic chain has 'n'links then number of mechanisms obtained are :->n 168. The Grubler's criterion for determining the degrees of freedom (n) of a mechanism having plane motion is (L= number of links, j= number ofjoints) :->n = 3(L-l)-2j 169. The mechanism forms a structure, when the number of degrees offree~m (n) is equal to :-->0 170. The method of obtaining different mechanism by fixing in tum differ~t links in a kinematic ~a.",-;~ :s known as :->Inversion 171. Find the number of degrees of freedom as shown in figure (a\r
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172. In the four bar chain shown in ,f,igille (a) links 2 and 4 have equallength,The point'p'on the perpendicular bisector of the coupler: 4. will generate
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rOximatelY straight line Which of llie following has sliding motion :->cross head RectilineaT motion of piston is converted in to rotary by :->lllcchanism A simple mechanism has :->4 links
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176. A rotary I.C. engines has ______________ cylinders :->6 177. Couple wheel of a locomotive mechanism is used to transmit the :->Rotary motion 178. \\1ritworth quick return motion mechanism is .used in ________ machines :->Shaping and sl otting ma chines 179. Scorch Yoke mechanism is used to generate :->sine functions 80. ==. ~ simplest form ,cam mechanism consists of following number of links :->3 18;' All eccentric sheave pivoted at one point rotates and transmits oscillating motion to a link whose one I\'Oied and other end is connected to it. This mechanism has :->4 links Which one of the following is a higher pair :->belt and pulley Consider the following pair of parts Among,these the higher pairs are 1. pair of gear in mesh f I 2. belt and pully J,....:l~ ~. 1,2 and 4 184. Incompletely constrained motion is an example of :->circular shaft in a circular hole 185. A motion of shaft in a foot step bearing is an example of :->partially..{cOilstrained motion 186. . A piston in a cylinder of an I.C. engine is an example of :-> com~MeIY constrained motion 187. A square bar is a square hole is an example of :->completehr cOnstrained motion 188. Cross head and guides form a :->sliding pair 189. Cam and follower is a :->open pair 190. Screw pair and Spherical pair are :->closed pair 191. Automobile steering gear is an example of :->fffiwer p-air 192. A completely constrained motion can be trans ' ·ttedt:~ith :->4 link with pin joints 193. !he relat.ion .bet:'een nu~ber ofl~s (1) and the umber ofjo~nt~ (j) for a kinem~tic chain having
constramed moHon IS gIven by J = 3I2L-2, IfLHS?RJi ,J: en the cham IS :->locked cham
194. A four bar chain has :->all turning pairs 195. Nut turning on a screw is a :->lower pair 196. Ball and roller bearings is a :->rolling pa(y 197. A rectangular bar in a rectangular(ho~'i~-an example of :->sliding pair 198. A combination of kinematic pairs~hea in such a way that the relative motion between the links is completely constrained is called a :->~D.t..Il)-~tic chain 199. In a kinematic chain, a quatemmy joint is equal to :->three binary joint 200. A kinematic. chain reqUires~t~~st :->4 links and 4 turning pairs 201. . Match the foUowing Lis~~ '¥rd List-2
/Lis :.12
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A
4 links,4 tJllllin.g pairS '1--b:mlPlett~ ("()n."'ttaint
3li~lks,3.tU~lg p:l.i~ . ; ~l~
C
5 twks,tl tumlug pall'S ,
~
3
DFoot step be~\ring
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.' .......
'0
:->
2
w
202.
3
nglt'l fraIlie
Incomplete constraint
V
(A BCD) 1
4
. Considar the following statements
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(l).A rcltnibar in a round hole form a turning pair b...J
(2) .A s.gu~e bar is a square hole form a sliding pair fr....> ~ .
). ~ical shaft in a foot step bearing forms a sllccessful constraiffi ,o f ~--!Few:I!=::m:.: c~ect
203 . 204. 205 . 206 . 207 .
Spherical pair is an example of :->mirror attachment of vehicles Screw with nut of jack is a :->screw pair Turning pair is a :->the two elements revolve about a fixed axis If the opposite links of a four bar linkage are equal, the links will al"~.';, __. A kinematic chain be..:orr:es a mechanism when :->any one link is fix ed
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A kinematics pair is a joint of :->two links having relative motion between them Spring is an example of :->flexible link Rigid link is an example of :->connecting rod Kinematics is defined as a :->study of relative motion of parts of machine A four links chain w ith four joints is shown in figure (a)
_08. 209. 210. 211. 212.
l-J INN -
-rxC\",~~ dJ 0.. . Co-.
:->chain is constrained
213 .
A three link chain with three joints is shown in figure (a) .
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Figure(a)
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3
1
:->chain is locked
Figure(a)
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214. A point on a link conn~ting a double slider crank. chain will trace a :-> ellipse If 'n' links ~ connected at the same joint, the joint is equivalent to :->(n-1) binary joint 215. 216. The relation between number of pairs (P) forming a kinematic chain and the number oflinks (1) :-> 1 = 2p-4 The relative motion between number of links (1) and number ofjoints G) in a kinematic chain is :->1 = 217. 2/3(j+2) -J --I I
) ~~N '
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