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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

30°
60°
45°
120°

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

108.5 kg
110 kg
105.5 kg
102.5 kg

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Applied Mechanics and Graphic Statics
Which of the following represents the state of neutral equilibrium?

A cube resting on one edge
A smooth cylinder lying on a convex surface
A smooth cylinder lying on a curved surface
None of these

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

8.88 m/sec
12.88 m/sec
10.88 m/sec
5.88 m/sec

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Applied Mechanics and Graphic Statics
If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is

4 rad/sec²
12 rad/sec²
1 rad/sec²
6 rad/sec²

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Applied Mechanics and Graphic Statics
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

Floor and wall both are rough surfaces
Floor is smooth and the wall is rough
Floor and wall both are smooth surfaces
Floor is rough and the wall is smooth

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