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1) If A = 35°, Determine (a) the value of B such that the resultant force is in the vertical direction, (b) the magnitude of the resultant force corresponding to the value of B in the question (a). (a) B = (b) Resultant force =

degree N

Mid Term 1/2558 : 010403003/010403097 Engineering Statics

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2) A uniform steel ring 600 mm in diameter has a mass of 50 kg and is lifted by the three cables, each 500 mm long, attached at point A, B and C as shown. Determine the tension in each cable.

Mid Term 1/2558 : 010403003/010403097 Engineering Statics

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3) The ramp ABCD is supported by cables at corners C and D. The tension in each of the cables is 810 N. Determine 3.1 The moment about A of the force exerted by the cable at C 3.2 The moment about A of the force exerted by the cable at D 3.3 The distance from point A to the "line" DE in perpendicular direction, Please fill the answer in the provided space, otherwise no marks. (ให้เขียนคำตอบลงในช่องว่ำงที่ กำหนด มิฉะนัน้ จะไม่คิดคะแนน)

ANSWER : 3.1 MA = 3.2 MA = 3.3 Distance =

Mid Term 1/2558 : 010403003/010403097 Engineering Statics

N.m N.m m.

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4) A hexagonal plate is acted upon by the force P and the couple shown. Determine the magnitude and the direction of the smallest force P for which this system can be replaced with a single force at C.

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P F

x°

E 30°

A D 20 N

Answer P = …………........... N, x = …………........... °

Mid Term 1/2558 : 010403003/010403097 Engineering Statics

B

C

20 N

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5) In order to test the deflection of the uniform 100-kg beam, the tension of 150 N is exerted on the rope as shown. If  = 30, determine the reactions at A and O.

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6) Three rods are welded together to form a “corner” at point O that is supported by three   eyebolts (ห่วงสกรู). Given MA = 50 kN·m i , MB = 0, MC = -10 kN·m k . Neglecting friction, determine the reactions at eyebolts A, B, and C.

Mid Term 1/2558 : 010403003/010403097 Engineering Statics