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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must(i) Be equal in magnitude(ii) Be opposite in sense(iii) Act along the same line

(i) and (iii)
(i) and (ii)
All (i), (ii) and (iii)
Only (i)

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Applied Mechanics and Graphic Statics
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

½ cos α
2 cos α
½ tan α
½ sin α

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Applied Mechanics and Graphic Statics
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

1.00 m/sec
6.28 m/sec
3.14 m/sec
1.57 m/sec

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/2
A
A/√2
A√2

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Applied Mechanics and Graphic Statics
For a simple pendulum, time period for a beat, is

π √(g/2l)
π √(2l/g)
π √(l/g)
π √(l/2g)

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

25 m/sec
40 m/sec
15 m/sec
50 m/sec

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