Question

A solid sphere of radius $R$ is placed on smooth horizontal surface. A horizontal force ${}^{\prime }{F}^{\prime }$ is applied at height ${}^{\prime }{h}^{\prime }$ from the lowest point. For the maximum acceleration of centre of mass, which is correct ?

• A. $h=R$
• B. $h=2R$
• C. $h=0$
• D. No relation between $h$ and $R$

Answer 1

Answer: (D)

No relation between $h$ and $R$

Surface is smooth so there is no friction at the contact surface.

then acceleration is dependent only on force applied

$a=\frac{F}{m}$

so there is no role of height to find out the acceleration so option $D$ is correct.