New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Rotational Motion question

2025 · 22 Jan · Shift 1 · Q52

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

PYQ Library
JEE Main
Physics
Rotational Motion
2025 · 22 Jan · Shift 1 · Q52

Rotational Motion question

2025 · 22 Jan · Shift 1 · Q52

JEE MainPhysicsRotational MotionMCQ+4 / −1

A uniform circular disc of radius '

\mathrm{R}^{\prime}

and mass '

\mathrm{M}^{\prime}

is rotating about an axis perpendicular to its plane and passing through its centre. A small circular part of radius

R / 2

is removed from the original disc as shown in the figure. Find the moment of inertia of the remaining part of the original disc about the axis as given above. JEE Main 2025 (Online) 22nd January Morning Shift Physics - Rotational Motion Question 24 English

JEE Main 2025 (Online) 22nd January Morning Shift Physics - Rotational Motion Question 24 English

A
$\frac{17}{32} \mathrm{MR}^2$
B
$\frac{13}{32} \mathrm{MR}^2$
C
$\frac{9}{32} \mathrm{MR}^2$
D
$\frac{7}{32} \mathrm{MR}^2$

More from Rotational Motion

The position vectors of two 1 kg particles, (A) and (B), are given by $r_{A} = (α_{1} t^{2} \hat{i} + α_{2} t \hat{j} + α_{3} t \hat{k}) m and r_{B} = (β_{1} \hat{t} \hat{i} + β_{2} t^{2} \hat{j} + β_{3} t \hat{k}) m, respectively;$ …2025 · Numerical
The torque due to the force $(2 \hat{i} + \hat{j} + 2 \hat{k})$ about the origin, acting on a particle whose position vector is $(\hat{i} + \hat{j} + \hat{k})$ , would be2025 · MCQ
A solid sphere of mass ' $m$ ' and radius ' $r$ ' is allowed to roll without slipping from the highest point of an inclined plane of length ' $L$ ' and makes an angle $3 0^{\circ}$ with the horizontal. The speed of the particle at the bottom of…2025 · MCQ
A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk. An external torque is applied to the disk such that $θ (t) = 5 t^{2} - 8 t$ , where $θ (t)$ is the angular position of the rotating…2025 · MCQ
A uniform solid cylinder of mass ' m ' and radius ' r ' rolls along an inclined rough plane of inclination $4 5^{\circ}$ . If it starts to roll from rest from the top of the plane then the linear acceleration of the cylinder's axis will be2025 · MCQ
A solid sphere and a hollow sphere of the same mass and of same radius are rolled on an inclined plane. Let the time taken to reach the bottom by the solid sphere and the hollow sphere be $t_{1}$ and $t_{2}$ , respectively, then2025 · MCQ
A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the centre of mass of the sphere and rotational kinetic energy is :2025 · MCQ
Two iron solid discs of negligible thickness have radii $R_{1}$ and $R_{2}$ and moment of intertia $I_{1}$ and $I_{2}$ , respectively. For $R_{2} = 2 R_{1}$ , the ratio of $I_{1}$ and $I_{2}$ would be $1/ x$ , where $x =$ .2025 · Numerical