Question

A particle is placed at rest inside a hollow hemisphere of radius R. The coefficient of friction between the particle and the hemisphere is m= $\frac { 1 } { \sqrt { 3 } }$ . The maximum height upto which the particle can remain stationary is-

• A. $\frac { \mathrm { R } } { 2 }$
• B. $\left( 1 - \frac { \sqrt { 3 } } { 2 } \right)$ R
• C. $\frac { \sqrt { 3 } } { 2 } \mathrm { R }$
• D. $\frac { 3 R } { 8 }$

Answer 1

Answer: (B)

$\left( 1 - \frac { \sqrt { 3 } } { 2 } \right)$ R

Answer 2