Student Login

Home›Chapters›Rotational Motion PYQs›Rolling Motion›Question 32

JEE Main 2024 (1 Feb, Shift 2) · Rolling Motion

Rolling Motion question from JEE Main 2024 (1 Feb, Shift 2)

Q32JEE Main 2024 · 1 FEB · SHIFT 2Medium

Rolling Motion

A disc of radius $R$ and mass $M$ is rolling horizontally without slipping with speed $v$ . It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is:

Show answer and solution

Answer: (a)

If the incline gives rolling (as the key assumes): KE of disc $= \frac{1}{2}Mv^2\left(1+\frac{1}{2}\right) = \frac{3}{4}Mv^2$ .
$Mgh = \frac{3}{4}Mv^2 \Rightarrow h = \dfrac{3v^2}{4g}$ .
So the answer is (a) $\frac{3}{4}\frac{v^2}{g}$ .

Report a mistake

More questions on Rolling Motion

A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with…JEE Main 2024 (4 Apr, Shift 1)
A solid circular disc of mass 50 kg rolls along a horizontal floor so that its center of…JEE Main 2024 (31 Jan, Shift 1)
The rotational kinetic energy and translational kinetic energy of a rolling body are…MHT CET 2023 (13 May, Shift 1)
A solid sphere rolls without slipping on an inclined plane at an angle θ. The ratio of…MHT CET 2023 (9 May, Shift 1)
For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic…JEE Main 2023 (12 Apr, Shift 1)
A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic…JEE Main 2023 (29 Jan, Shift 1)
A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal…JEE Main 2023 (15 Apr, Shift 1)
A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular…JEE Main 2023 (13 Apr, Shift 1)