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A solid cylinder is rolling down the inclined plane without slipping. Which of the following is/are correct

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The friction force is reduced if $θ$ is reduced

The friction force will aid rotation but opposes translation

The friction force is dissipative

The friction force is necessarily changing

answer is C, D.

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Detailed Solution

For pure rolling frictional force is given by , f = $\frac{m g \sin θ}{1 + \frac{m R^{2}}{I_{c}}} .$

Direction of frictional force on the cylinder is up the inclined plane .

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