Question

A solid sphere of radius `R` lies on a smooth horizontal surface. It is pulled by a horizontal force acting tangentially from the highest point. Find the distance traveled by the sphere during the times it makes one rotation.

Answer 1

`F=maimpliesa=F//m`
`tau_(0)=FR=I_(0)alpha=(2)/(5)mR^(2)alphaimpliesalpha=(5F)/(2mR)`
Angular motion: `theta=(1)/(2)alphat^(2)`
Linear motion: `s=(1)/(2)at^(2)`
`(s)/(theta)=(a)/(alpha)`
`(s)/(2pi)=(2R)/(5)impliess=(4piR)/(5)`