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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 cos² α/2g
u² sin² α/2g
u² tan² α/2g

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Applied Mechanics and Graphic Statics
If ‘α’ is the angular acceleration of a compound pendulum whose angular displacement is ‘θ’, the frequency of the motion is

2π √(α - θ)
4π √(α/θ)
(1/2π) √(α/θ)
2π √(α/θ)

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

3t³ - 2t
6t - 2
3t² + 2t
6t + 2

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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

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

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Applied Mechanics and Graphic Statics
Time period and length of a second’s pendulum respectively are

2 sec and 92.7 cm
1 sec and 99.4 cm
2 sec and 99.4 cm
1 sec and 92.7 cm

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Applied Mechanics and Graphic Statics
In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

5
25
1.5
314

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