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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

A

x = 2y

B

x = y

C

y = 2x

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Linear displacement (S) = Radius (r ) `xx` Angular displacement `(theta)`
`therefore S prop r` (if `theta =` constat)
`("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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