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Figure shows a small wheel fixed coaxial...

Figure 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

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Linear displacement (S) = Radius (r) x Angular displacement (`theta`) `because` S `prop` r(if `theta` constant) Distance travelled by mass A(x) /Distance travelled by mass B( y)= Radius of pulley concerned with mass A( r )/Radius of pulley concerned with mass B(2r )=1/2 `rArr y=2x.`
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