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A solid cylinder rolls up an inclined plane of angle of inclination $30^{\circ}$. At the bottom of the inclined plane the centre of mass of the cylinder has a speed of $5 \mathrm{~m} / \mathrm{s}$. (a) How far will the cylinder go up the plane? (b) How long will it take to return to the bottom?
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A cylinder is released from rest from the top of an inclined plane of inclination θ and length 'l'. If the cylinder rolls without slipping, what will be its speed when it reaches the bottom?
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