Sanjay Gupta, Dev Samaj College For Women, Ferozepur City

MULTIPLE CHOICE QUESTIONS B.Sc. 3rd Semester ( Mathematics ) Paper_ Statics , Topic – Forces Acting At a Point

Time Allowed : 45 minutes

M.M. 50

Note – Each Question carry 2 marks.

1.

The magnitude of resultant of two forces 10 kg and 15 kg which are inclined to each other at an angle of 600 is √

(a)

(b)

(c)

2.

3.

√

(d)

The magnitude of resultant R of two forces P and Q which are inclined to each other at an angle of is (a)

+

+

(b)

(c)

+

+

(d)

+ +

+ +

If the resultant R of two forces P and Q which are inclined to each other at an angle of , makes an angle with the line of action of the force P, then =

4.

(a)

(b)

(c)

(d)

The magnitude of resultant R of two forces P and Q which are at right angle to each other is (a)

+

+

(b)

−

(c)

+

−

(d)

+

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Sanjay Gupta, Dev Samaj College For Women, Ferozepur City 5.

6.

7.

8.

Let the resultant make an angle with the line of action of one of the two equal forces which are inclined to each other at an angle .Then = (a)

−

(b)

(c)

−

(d)

If the two forces P and Q act in the same direction, then the magnitude of their resultant R is (a)

P–Q

(b)

P+Q

(c)

+

(d)

None of these

If the two forces P and Q (P < Q) act in opposite directions, then the magnitude of their resultant R is (a)

P–Q

(b)

(c)

Q–P

(d)

None of these

If the two forces P and Q act in the same direction, then the magnitude of their resultant R is (a) (c)

9.

+

Minimum +

(b)

Zero

(d)

Maximum

If the two forces P and Q (P < Q) act in opposite directions, then the magnitude of their resultant R is (a) (c)

Minimum +

(b)

Zero

(d)

Maximum

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Sanjay Gupta, Dev Samaj College For Women, Ferozepur City 10.

11.

12.

13.

Let the resultant R of two forces P and Q which are inclined to each other at an angle , make an angle with the line of action of the force P. If P > Q, then (a)

is less than

(b)

is greater than

(c)

is equal to /

(d)

is greater than

Which of the following statement is true ? (a)

The resultant of two forces at right angles to each other bisects the angle between the forces.

(b)

A force may have more than two components.

(c)

The resultant of two equal and concurrent forces is thrice the force multiplied by cosine of half the angle between them.

(d)

The resultant of two forces P and Q acting at right angles is P + Q.

Which of the following statement is true ? (a)

The resultant of two equal forces at right angles to each other bisects the angle between the forces.

(b)

A force have only two components.

(c)

The resultant of two equal and concurrent forces is thrice the force multiplied by cosine of half the angle between them.

(d)

The resultant of two forces P and Q acting at right angles is P - Q.

Which of the following statement is true ? (a)

The maximum value of the resultant of the forces P and Q is P + Q .

(b)

Sufficient condition that the resultant of two forces acting at a point be zero is that the forces are collinear.

(c)

If two forces acting at a point are represented by the sides of a parallelogram, their resultant is represented by the diagonal of the parallelogram.

(d)

We can find different values of the resultant of two forces acting at a point.

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Sanjay Gupta, Dev Samaj College For Women, Ferozepur City

14.

15.

16.

Which of the following statement is true ? (a)

The minimum value of the resultant of the forces P and Q is P + Q .

(b)

Sufficient condition that the resultant of two forces acting at a point be zero is that the forces are collinear.

(c)

The sum of the squares of the resolved parts of a force in two perpendicular directions is equal to square of the force.

(d)

None of these.

If two forces P and Q are acting on a particle, then their resultant will be greatest if (a)

=

(b)

=

(c)

=

(d)

=

The resolved part of a force F in its own direction is equal to (a)

0

(c)

17.

F

(d)

The resolved part of a force F in a direction at right angles to it is equal to (a)

0

(c)

18.

(b)

(b)

F

(d)

A block of weight W is placed on an inclined plane of inclination

. Then the

resolved part of the weight along the inclined plane is (a) (c)

W

(b)

0

(d)

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Sanjay Gupta, Dev Samaj College For Women, Ferozepur City 19.

. Then the resolved part of the weight perpendicular to the inclined plane is

A block of weight W is placed on an inclined plane of inclination

(a)

W

(b)

(c)

20.

21.

22.

0

(d)

Which of the following statement is false ? (a)

When the components of a force are at right angles, these components are called resolved parts of a force.

(b)

A force may be resolved in its perpendicular components in infinitely many ways.

(c)

The resolved part of a force in a direction perpendicular to itself is zero.

(d)

There is no direction along which a given force has no effect.

Which of the following statement is true? (a)

A force may be resolved into perpendicular components in one way only.

(b)

If the resolved part of a force in a given direction is zero, then the force is parallel to that direction.

(c)

The resolved parts of a given force can be determined when one of the directions is known.

(d)

The sum of the square of the resolved part of a force in two perpendicular directions is not equal to the square of the force.

If three forces acting a point can be represented in magnitude and direction by sides of a triangle taken in order, then (a)

they are parallel.

(b)

they are in equilibrium.

(c)

their resultant is not zero.

(d)

None of these.

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Sanjay Gupta, Dev Samaj College For Women, Ferozepur City

23.

24.

25.

If ABC is a triangle and G be its centroid, then the forces represented completely by GA, GB, GC are (a)

in equilibrium

(b)

not in equilibrium

(c )

equal to 3GA

(d)

not equal to 3GA

Which of the following statement is false ? (a)

If three non – collinear forces acting at a point are in equilibrium, then each is proportional to the sine of the angle between the other two.

(b)

If three coplanar forces acting at a point be such that each is proportional to the sides of the angle between the directions of the other two, then the forces are in equilibrium.

(c)

If the three forces acting at a point can be represented in magnitude and direction by the sides of a triangle, taken in order, then they are in equilibrium.

(d)

If two forces acting at a point be represented in magnitude and direction by the two sides of a triangle, taken in order, their resultant is given in magnitude and direction by the third side of the triangle taken in the order.

If C is a point in AB such that 2(CA) = 3(CB), then the resultant of two forces acting at point O along OA and OB and equal in magnitude to 2(OA) and 3(OB) respectively is equal to (a)

4(OC)

(b)

6(OC)

(c )

5(OC)

(d)

OC

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