Q.
A small object of uniform density roll up a curved surface with an initial velocity $v$. If reaches up to a maximum height of $\frac{{3v}^{2}}{4g}$ with respect to the initial position. The object is
A) Ring
B) Solid sphere
C) Hollow sphere
D) Disc
Explanation
(d) $\frac{1}{2}mv^{2} = \frac{1}{2}I\left( \frac{v}{R} \right)^{2} = mg\left( \frac{3v^{2}}{4g} \right)$
$\therefore$ $I = \frac{1}{2}\ mR^{2}$
$\therefore$ Body is disc.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.