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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where ‘V’ is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of

2100 m
2300 m
2000 m
2200 m

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Applied Mechanics and Graphic Statics
A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

0.5 m/sec
2.5 m/sec
3.5 m/sec
1.5 m/sec

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

1/4
1/3
3
4

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Applied Mechanics and Graphic Statics
A cube on a smooth horizontal surface

Cannot be in unstable equilibrium
Cannot be in neutral equilibrium
Cannot be in stable equilibrium
Can be in any of these states

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Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

30°
75°
15°
45°

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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

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

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