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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

0.5 m/sec
Zero
2.0 m/sec
1.0 m/sec

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(3/7) g sin 0
(2/5) g sin 0
(5/7) g sin0
(1/3) g sin0

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Applied Mechanics and Graphic Statics
To double the period of oscillation of a simple pendulum

The mass of its bob should be doubled
Its length should be doubled
The mass of its bob should be quadrupled
Its length should be quadrupled

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

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

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Applied Mechanics and Graphic Statics
Coefficient of friction depends on

Nature of surfaces only
Both (A) and (B)
Area of contact only
None of these

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (2/3) sin 6
less than (1/3) tan 0
less than (1/3) sin 6
less than (2/3) tan 0

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