Question

A constant horizontal force F is applied on the top of a solid sphere and a hollow sphere of same mass and radius both kept on a sufficiently rough surface. Let a₁ and a₂ be their linear accelerations, then :

• A. a₁ = a₂
• B. a₁> a₂
• C. a₁< a₂
• D. data insufficient

Answer 1

Answer: (B)

a₁> a₂

Answer 2

For solid sphere

F_R – f_R = $\frac{2}{5}$ mR² $\frac{a_{1}}{R}$

Ž a₁ = $\frac{F–f}{\frac{2}{5}m}$

For hollow sphere

F_R – f_R = $\frac{2}{3}$ mR² $\frac{a_{2}}{R}$ Ž a₂ = $\frac{F–f}{\frac{2}{3}m}$ So a₁> a₂