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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

That resultant couple must be zero
That polygon of forces must close
None of these
Both (A) and (B)

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Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

400 J
200 J
150 J
50 J

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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)
2π √(α - θ)
(1/2π) √(α/θ)

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Applied Mechanics and Graphic Statics
A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is

75 m/sec
90 m/sec
80 m/sec
70 m/sec

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Applied Mechanics and Graphic Statics
The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called

Angle of repose
None of these
Angle of inclination
Angle of friction

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ? i. 1.0 in from the wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

(ii) and (iii)
(ii) and (iv)
(i) and (iii)
(i) and (iv)

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