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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

5 N
10 N
15 N
25 N

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

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Applied Mechanics and Graphic Statics
Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be

5 m/sec
Zero
10 m/sec
None of these

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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
The tension in a cable supporting a lift

Is more when the lift is moving downwards
Is less when the lift is moving downwards
Is less when the lift is moving upwards
Remains constant whether its moves downwards or upwards

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/4d
wl²/16d
wl/4d
wl²/8d

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