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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² sin 2α/2g
u² sin² α/2g
u² cos² α/2g
u² tan² α/2g

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Applied Mechanics and Graphic Statics
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

12.0 J
4.5 J
9.0 J
18.0 J

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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

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

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Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

5 and 5√3 m/sec
5√3 m/sec and 0
0 and 5 m/sec
5 m/sec and 0

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Applied Mechanics and Graphic Statics
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

gra/h
√(gra/h)
∛(gra/h)
4√(gra/h)

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Applied Mechanics and Graphic Statics
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

44052
43864
43833
43839

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