Question

A hollow sphere is being pulled by force $F$ applied at its center on a sufficiently rough surface. Find the value of friction acting on the hollow sphere.

• A. $\frac{2F}{3}$
• B. $\frac{2F}{3}$
• C. $\frac{2F}{5}$
• D. $\frac{F}{7}$

Answer 1

The correct option is C $\frac{2F}{5}$

We know that, torque $\left(\tau \right)=I\alpha$

Angular acceleration due to force $F=$ Angular acceleration due to friction $f$.

$\frac{fR}{\frac{2}{3}M{R}^2}=\frac{FR}{\frac{5}{3}M{R}^2}$

$\Rightarrow f=\frac{2F}{5}$

Hence, option $\left(\text{C}\right)$ is correct.