Question

The 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 traveled by $A$ and $B$ in the same time interval, then (assume uniform motion)

• A. $x=2y$
• B. $x=y$
• C. None of these
• D. $y=2x$

Answer 1

The correct option is D $y=2x$

Distance travelled by small wheel,
$x=\left(\omega r\right)t\dots \left(i\right)$
Distance travelled by bigger wheel,
$y=(\omega \times 2r)t\dots \left(ii\right)$
From $\left(i\right)$ and $\left(ii\right)$
$y=2x$

Final Answer: (c)