Question

A sphere is projected up an inclined plane with a velocity $v_0$ and zero angular velocity as shown. The coefficient of friction between the sphere and the plane is $\mu =\tan \theta$. Find the total time of rise of the sphere.

• A. $\frac{3v_0}{2g\sin \theta }$.
• B. $\frac{v_0}{g\sin \theta }$.
• C. $\frac{v_0}{\sin \theta }$.
• D. $\frac{4v_0}{g\sin \theta }$.

Answer 1

The correct option is B $\frac{v_0}{g\sin \theta }$.

$a=g\sin \theta$

$a=\frac{v_0}{a}=\frac{v_0}{g\sin \theta }$