The c.g. of a thin hollow cone of height h, above its base lies on the axis, at

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The c.g. of a thin hollow cone of height h, above its base lies on the axis, at a height of
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A.
B.
C.
D.

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Applied Mechanics problems

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1. 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
Options
A. 40 kg
B. 60 kg
C. 10 kg
D. 100 kg.

2. u₁ and u₂ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v₁ and v₂. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
Options
A.
B.
C.
D.

3. 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
Options
A. 3t³ - 2t
B. 3t² + 2t
C. 6t - 2
D. 6t + 2
E. 3t - 2

4. If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is
Options
A. 8�
B. 9�
C. 10�
D. 11�
E. 12�.

7. If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
Options
A. 500 metres
B. 1000 metres
C. 1500 metres
D. 2000 metres
E. 25000 metres.

9. Pick up the correct statement from the following :
Options
A. Nature plays an important role in the launch of a satellite
B. The earth's gravity reduces the speed of a satellite by 32 km per second
C. The gravitational force relents as the satellite climbs higher
D. The gravitational intensity declines with height
E. All the above.

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