MCQ

Fill in the Blanks

The following 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 distance travelled by A and B in the same time interval, then _________ .

#### Options

x = 2y

x = y

y = 2x

None of these

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#### Solution

y = 2x

It is given that angular velocity is same for both the wheels.

Therefore, we have

v_{A}_{ }= \[\omega\] R

v_{B} =\[\omega\]2R

x = v_{A}t = \[\omega\]Rt ............(1)

y = v_{B}t = \[\omega\](2R)t ..............(2)

From equations (1) and (2), we get

y = 2x

Is there an error in this question or solution?

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