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A rod of length L can rotate about end 0 . What is the work done if the rod is rotated by 180°

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Important Questions on Motion of System of Particles and Rigid Body

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If a ladder is not in balance against a smooth vertical wall, then it can be made in balance by:-
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Two uniform rods of equal length but different masses are rigidly joined to form an L -  shaped body, which is then pivoted as shown in figure. If the given configuration in equilibrium then ratio  Mm will be :-

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Assertion: A rotating body can be in stable and unstable equilibrium.
Reason: Moment of inertia is always different for the different axis of rotation.
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A uniform rod of length l and mass m is free to rotate in a vertical plane about A. The rod initially in a horizontal position is released. The initial angular acceleration of the rod is (Moment of inertia of the rod about A is Ml23)

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A uniform ring of radius R is given a back spin of angular velocity V02R and thrown on a horizontal rough surface with velocity of center to be V0. The velocity of the centre of the ring when it starts pure rolling will be
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Assertion : If the momentum of a particle is constant, then its angular momentum will also be constant

Reason : When net external force on an object is zero, then external torque on the object will also be zero.

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A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from A to B, the angular momentum of the particle about O''

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A thin circular ring of mass M and radius r is rotating about its axis with a constant angular. velocity ω. Two objects each of mass m, are kept gently to the opposite ends of a diameter of the ring. The angular velocity of the ring will be