MEDIUM
NEET
IMPORTANT
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Assertion: The condition of equilibrium for a rigid body is -
Translational equilibrium: F=0, (i.e. the sum of all external forces equal to zero.)
Rotational equilibrium :τ=0 (i.e. the sum of all external torques equal to zero.)
Reason: A rigid body must be in equilibrium under the action of two equal and opposite forces.

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Important Questions on Rotational Mechanics

MEDIUM
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IMPORTANT
Assertion: For the purpose of calculation of moment of inertia, the body’s mass can be assumed to be concentrated at its centre of mass.
Reason: The moment of inertia of the rigid body about an axis passing through its centre of mass is zero.
MEDIUM
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Assertion: Many great rivers flow towards the equator. The small particle that they carry increases the time of rotation of the earth about its own axis.
Reason: The angular momentum of the earth about its rotation axis is conserved.
MEDIUM
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IMPORTANT
Assertion: The spokes near the top of a rolling bicycle wheel are more blurred than those near the bottom of the wheel.
Reason: The spokes near the top of the wheel are moving faster than those near the bottom of the wheel.
MEDIUM
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Assertion: A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling).
Reason: For pure rolling, work done against frictional force is zero.
MEDIUM
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IMPORTANT
Assertion: Angular momentum may not necessarily be parallel to the angular velocity vector. 
Reason: The body may not be symmetrical about its axis of rotation.
HARD
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Assertion: As star collapse its angular velocity increases.
Reason: The mass of the star decreases.
MEDIUM
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Assertion: A sharp needle when balanced on an edge falls even under a small disturbance.
Reason: Small disturbance causes torque in the same direction as that of angular displacement.
MEDIUM
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IMPORTANT
Assertion: A rotating body can be in stable and unstable equilibrium.
Reason: Moment of inertia is always different for the different axis of rotation.