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Question
A block hangs from a string wrapped on a disc of radius 20 cm free to rotate about its axis which is fixed in a horizontal position. If the angular speed of the disc is 10 rad/s at some instant, with what speed is the block going down at that instant?
A block hangs from a string wrapped on a disc of radius 20 cm free to rotate about its axis which is fixed in a horizontal position. If the angular speed of the disc is 10 rad/s at some instant, with what speed is the block going down at that instant?
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Solution
The correct option is A 2 m/s
The Block is moving the rim of the pulley
The pulley is moving at a ω = 10 rad/s
Therefore the radius of the pulley = 20 cm
Therefore linear velocity on the rim = tangential velocity = rω
= 20 × 20 - 200 cm/s = 2 m/s.
2 m/s
The Block is moving the rim of the pulley
The pulley is moving at a ω = 10 rad/s
Therefore the radius of the pulley = 20 cm
Therefore linear velocity on the rim = tangential velocity = rω
= 20 × 20 - 200 cm/s = 2 m/s.
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