A cylinder and a ring of same mass M and radi | vedclass

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(D) $1$. The friction force $f$ acts up the incline,while the component of gravity $Mg \sin 	heta$ acts down the incline. Thus,friction opposes the t

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All of the above.

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(D) $1$. The friction force $f$ acts up the incline,while the component of gravity $Mg \sin 	heta$ acts down the incline. Thus,friction opposes the translational motion of the centre of mass.$2$. The torque $	au$ about the centre of mass is provided by the friction force $f$,where $	au = f \cdot R$. This torque causes the angular acceleration $\alpha$ required for rolling motion.$3$. For pure rolling,the condition $v = \omega R$ must be satisfied. Without friction,there is no torque to produce angular acceleration $\alpha$,so the bodies would simply slide down the plane without rotating. Thus,friction is essential for rolling.$4$. Since statements $A$,$B$,and $C$ are all correct,the correct option is $D$.

$A$ cylinder and a ring of same mass $M$ and radius $R$ are placed on the top of a rough inclined plane of inclination $\theta$. Both are released simultaneously from the same height $h$. Choose the correct statement$(s)$ related to the motion of each body.

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