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10. Rotational Mechanics
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Q25 of 149 Page 194

In the previous question, the smallest kinetic energy at the bottom of the incline will be achieved by



Here torque is 0. So, angular momentum is same for all.




So,


Etranslation is equal for every case. So, the one with the maximum moment of inertia will have the minimum angular speed. Hence, the minimum kinetic energy.

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A solid sphere, a hollow sphere and a disc, all having same mass and radius, are placed at the top of a smooth incline and released. Least time will be taken in reaching the bottom by

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A solid sphere, a hollow sphere and a disc, all having same mass and radius, are placed at the top of an incline and released. The friction coefficients between the objects and the incline are same and not sufficient allow pure rolling. Least time will be taken in reaching the bottom by

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A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the string and pulls the cylinder towards him (figure 10-Q4). There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is


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Questions · 149
10. Rotational Mechanics
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