Figure below shows a small wheel fixed coaxially on a bigger one of double the r

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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

Figure Below Shows A Small Wheel Fixed Coaxially On A Bigger...

Options:

A . x = 2y

B . x = y

C . y = 2x

D . None of these

Answer: Option C
:
C
Linear displacement (S) = Radius (r)

\times

Angular displacement (

θ

)

∴ S \propto r (i f θ = c o n s t a n t)

\frac{D i s t a n c e t r a v e l l e d b y m a s s A (x)}{D i s t a n c e t r a v e l l e d b y m a s s A (y)} = \frac{R a d i u s o f p u l l e y c o n c e r n e d w i t h m a s s A (r)}{R a d i u s o f p u l l e y c o n c e r n e d w i t h m a s s A (2 r)} = \frac{1}{2} \Rightarrow y = 2 x .

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