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| Rigid Body Rotation and Equation of Rotation of Motion |
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| Consider a pulley fixed at a typical Indian well on which a rope is wound with one end attached to the bucket. When the bucket is released, the pulley starts rotating. As the bucket goes down, the pulley rotates more rapidly till the bucket goes into the water. |
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| If we take pulley as a system, the centre of mass of the pulley is at its geometrical centre, which remains at rest. However, the other particles of the pulley move and are accelerated. The pulley executes rotational motion. |
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| As the initial velocity, final velocity, distance travelled, acceleration and time are related and are expressed as equations of motion in linear motion; one can derive equations for rotational motion also. |
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 If w0 is the initial angular velocity of a rotating rigid body, in a time t it changes to w, then |
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