A block A starts sliding on a smooth track from a height h as shown in the figure. The track smoothly joins into a conveyor belt which is being driven by a pulley of radius r . If the angular velocity ω of the pulley is such that the block A doesn't slip on the belt, then the value of ω is

Question

A block A starts sliding on a smooth track from a height h as shown in the figure. The track smoothly joins into a conveyor belt which is being driven by a pulley of radius r . If the angular velocity ω of the pulley is such that the block A doesn't slip on the belt, then the value of ω is, g h r, g h 2 r, 2 g h r, 2 g h r

MARKS App · Accepted Answer

The speed of the block on reaching the conveyor belt is v = 2 g h There will be no slipping between the block and the belt if both have the same linear velocity. ⇒ v = 2 g h = ω r ⇒ ω = 2 g h r

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