New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Rotational Motion question

2023 · 11 Apr · Shift 1 · Q72

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Physics
Rotational Motion
2023 · 11 Apr · Shift 1 · Q72

Rotational Motion question

2023 · 11 Apr · Shift 1 · Q72

JEE MainPhysicsRotational MotionNumerical+4 / −1

A solid sphere of mass

500 \mathrm{~g}

and radius

5 \mathrm{~cm}

is rotated about one of its diameter with angular speed of

10 ~\mathrm{rad} ~\mathrm{s}^{-1}

. If the moment of inertia of the sphere about its tangent is

x \times 10^{-2}

times its angular momentum about the diameter. Then the value of

x

will be

\underline{\hspace{2cm}}

.

Numerical answer

More from Rotational Motion

A circular plate is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular velocity $ω$ . A person sits at the center having two dumbbells in his hands. When he stretches…2023 · Numerical
For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is $\frac{x}{5}$ . The value of $x$ is .2023 · Numerical
A disc is rolling without slipping on a surface. The radius of the disc is $R$ . At $t = 0$ , the top most point on the disc is $A$ as shown in figure. When the disc completes half of its rotation, the displacement of point A from its… Includes diagram2023 · MCQ
A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of rotation of the sphere to the total energy of moving sphere is $π : 22$ then, the value of its angular speed will be …2023 · Numerical
A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is pulled with a force of 52.5 N. The angular acceleration of the cylinder will be rad s $^{- 2}$ .2023 · Numerical
A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping. The ratio of their radius of gyrations respectively $(k_{sph} : k_{cyl})$ is $2 : x$ . The…2023 · Numerical
Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ will be $x$ cm. The value of $x$ is . Includes diagram2023 · Numerical
A uniform solid cylinder with radius R and length L has moment of inertia I $_{1}$ , about the axis of the cylinder. A concentric solid cylinder of radius $R^{'} = \frac{R}{2}$ and length $L^{'} = \frac{L}{2}$ is carved out of the original cylinder. If…2023 · Numerical