Question

Motorcycle rider is moving in a hollow sphere in a horizontal circle of radius $5m$ with constant speed $12m/s$. Acceleration due to gravity is $9.8m/s^2$. The coefficient friction between tires of the motorcycle and the inner surface of the sphere is:

• A. $2.94$
• B. $0.58$
• C. $0.34$
• D. $0.23$

Answer 1

The correct option is C $0.34$

Here normal force will provide centripetal acceleration to move in horizontal circle

$N=mr{\omega }^2$

In vertical direction net force should be 0

$f=mg$

$\mu N=mg$

$\mu mr{\omega }^2=mg$

$\mu =g/r{\omega }^2$

$\mu =$

$\mu =gr/v^2$

$\mu =0.34$