A disc of radius R and mass M is rolling horizontally without...

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:

Options

A $\dfrac{{v}^{2}}{g}$
B $\dfrac{3}{4}\dfrac{{v}^{2}}{g}$
C $\dfrac{1}{2}\dfrac{{v}^{2}}{g}$
D $\dfrac{2}{3}\dfrac{{v}^{2}}{g}$

Correct answer

C. $\dfrac{1}{2}\dfrac{{v}^{2}}{g}$

Step-by-step solution

Only the translational kinetic energy of disc changes into gravitational potential energy and rotational $KE$ remains unchanged as there is no friction.

$\dfrac{1}{2}m{v}^{2} = mgh$

$⇒ h = \dfrac{{v}^{2}}{2g}$

Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

Consider a large disk of radius R and two smaller disks, each of radius r = R/50 , lying… JEE Advanced 2026 A solid cylinder of radius R rolls without slipping with a center of mass speed v_0 =… JEE Advanced 2026 List-I shows four planar structures made of uniform solid rods each of mass m and length… JEE Advanced 2026 Passage: A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top… JEE Advanced 2026 Passage: A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top… JEE Advanced 2026 A solid cylinder having radius R and length L is slipping on a rough horizontal plane. At… JEE Main 2026 A solid sphere ( A ) of mass 5m and a spherical shell ( B ) of mass m , both having same… JEE Main 2026 A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through… JEE Main 2026 Full Rotational Motion list All JEE Main PYQs