Q 11-06-127JEE MainJEE Main 2023 (1 Feb, Shift 1)Easy
A solid cylinder is released from rest from the top of an inclined plane of inclination $30^\circ$ and length $60$ cm. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is ______ $\text{m s}^{-1}$. (Given $g=10\ \text{m s}^{-2}$)
Numerical value type. Enter your answer.
Answer: 2
Height $h=0.6\sin30^\circ=0.3$ m. For a rolling solid cylinder $v^2=\dfrac{2gh}{1+\frac12}=\dfrac43gh=4$, so $v=2\ \text{m s}^{-1}$.
Solution by Sreeraj P, M.Sc Physics