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Question

Figure below shows a small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If 'x' and 'y' be the distances travelled by A and B in the same time interval, then

A
x = 2y
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B
x = y
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C
y = 2x
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D
None of these
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Solution

The correct option is C y = 2x
Linear displacement (S) = Radius (r) × Angular displacement (θ)
Sr(if θ=constant)
Distance travelled by mass A(x)Distance travelled by mass A(y)=Radius of pulley concerned with mass A(r)Radius of pulley concerned with mass A(2r)=12y=2x.

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