Figure (10-Q3) 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
Angular frequency ω is constant.
V= ωr.
So, A’s velocity is VA= ωR
B’s velocity is VB= 2ωR
Hence,
Y=2x.