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Applied Mechanics and Graphic Statics

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

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

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

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

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Applied Mechanics and Graphic Statics
A smooth cylinder lying on its convex surface remains

Out of equilibrium
In neutral equilibrium
In unstable equilibrium
In stable equilibrium

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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

314
25
1.5
5

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

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Applied Mechanics and Graphic Statics
A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is

10 kg
60 kg
40 kg
100 kg

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