Particles are released from rest at A and slide down the smooth surface of height h to a conveyor B . The correct angular velocity ω of the conveyor pulley of radius r to prevent any sliding on the belt as the particles transfer to the conveyor is

Question

Particles are released from rest at A and slide down the smooth surface of height h to a conveyor B . The correct angular velocity ω of the conveyor pulley of radius r to prevent any sliding on the belt as the particles transfer to the conveyor is, 2 g h, 2 g h r, 2 g h r, 2 g h 2 r 2

MARKS App · Accepted Answer

First of all, we have to calculate the velocity of particles at the point B. ∵ Loss in P.E. = gain in K.E. Or m g h = 1 2 m v 2 ∴ v = 2 g h To prevent sliding, v = r ω ∴ ω = v r = 2 g h r

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