Rotational Motion JEE Main PYQs PDF, 2020–2026

Rotational Motion questions per year

in the free PDF asked, not in the PDFThe PDF only has questions we can print in full with a checked answer, so it holds 172 of the 177 asked.

Topic-wise weightage by year

How many Rotational Motion questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Swipe the table sideways for older years.

Newest questions (2026)

The 12 newest of the 25 JEE Main 2026 Rotational Motion questions in the free PDF, latest shift first. The 2026 papers asked 26 in all.

1. JEE Main 2026 · 8 Apr · Shift 2 · Rolling Motion

   A solid cylinder having radius $R$ and length $L$ is slipping on a rough horizontal plane. At time $t=0$ the cylinder has a translational velocity $v_{{{\mathrm{o}}}}=49{\ \mathrm{m}}/{\mathrm{s}}$, perpendicular to its axis and a rotational velocity $v_{{{\mathrm{o}}}}/4R$ about the centre. The time taken by the cylinder to start rolling is $\_\_\_\_$ seconds. (coefficient of kinetic friction $\mu_{K}=0.25$ and $g=9.8{\ \mathrm{m}}/{\mathrm{s}}^{2}$ )

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2. JEE Main 2026 · 6 Apr · Shift 1 · Torque and Angular Momentum

   A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an angular velocity of 1200 rpm . It is brought to rest in 10 s by applying a constant torque. The torque applied and the number of rotations it made before it comes to rest are $\_\_\_\_$ and $\_\_\_\_$ respectively.

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3. JEE Main 2026 · 6 Apr · Shift 2 · Rolling Motion

   A solid sphere $(A)$ of mass $5m$ and a spherical shell $(B)$ of mass $m$, both having same radius, are placed on a rough surface. When a force of same magnitude is applied tangentially at the highest points of $A$ and $B$, they start rolling without slipping with an acceleration of $a_{A}$ and $a_{B}$, respectively. The ratio of $a_{A}$ and $a_{B}$ is $\_\_\_\_$ .

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4. JEE Main 2026 · 5 Apr · Shift 2 · Rolling Motion

   A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an angle $\theta_{1}$ and in the next 2 s it rotates through an angle $\theta_{2}$. The ratio $\frac{\theta_{2}}{\theta_{1}}$ is $\_\_\_\_$ .

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5. JEE Main 2026 · 5 Apr · Shift 2 · Rolling Motion

   An object of uniform density rolls up the curved path with the initial velocity $v_{{{\mathrm{o}}}}$ as shown in the figure. If the maximum height attained by an object is $\frac{7v_{0}^{2}}{10{\ \mathrm{g}}}$ ( ${\mathrm{g}}=$ acceleration due to gravity), the object is a $\_\_\_\_$ .

   
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6. JEE Main 2026 · 4 Apr · Shift 1 · Moment of Inertia

   A solid sphere of mass $M$ and radius $R$ is divided into two unequal parts. The smaller part having mass $M/8$ is converted into a sphere of radius $r$ and the larger part is converted into a circular disc of thickness $t$ and radius $2R$. If $I_{1}$ is moment of inertia of a sphere having radius $r$ about an axis through its centre and $I_{2}$ is the moment of inertia of a disc about its diameter, the ratio of their moment of inertia $I_{2}/I_{1}=$ $\_\_\_\_$

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7. JEE Main 2026 · 2 Apr · Shift 1 · Conservation of Angular Momentum

   The position of an object having mass 0.1 kg as a function of time $t$ is given as

   ${\vec{r}}=\left(10t^{2}{\hat{i}}+5t^{3}{\hat{j}}\right)$ m. At $t=1$ s, which of the following statements are correct?

   A. The linear momentum ${\vec{p}}=\left(2{\hat{i}}+1.5{\hat{j}}\right)$ kg·m/s.

   B. The force acting on the object ${\vec{F}}=\left(2{\hat{i}}+3{\hat{j}}\right)$ N.

   C. The angular momentum of the object about its origin ${\vec{L}}=15{\hat{k}}$ J·s.

   D. The torque acting on the object about its origin ${\vec{\tau}}=20{\hat{k}}$ N·m.

   Choose the correct answer from the options given below:

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8. JEE Main 2026 · 28 Jan · Shift 1 · Moment of Inertia

   A solid sphere of radius 10 cm is rotating about an axis which is at a distance 15 cm from its centre. The radius of gyration about this axis is $\sqrt{n}{\ \mathrm{cm}}$. The value of $n$ is

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9. JEE Main 2026 · 28 Jan · Shift 2 · Moment of Inertia

   A fly wheel having mass 3 kg and radius 5 m is free to rotate about a horizontal axis. A string having negligible mass is wound around the wheel and the loose end of the string is connected to 3 kg mass. The mass is kept at rest initially and released. Kinetic energy of the wheel when the mass descends by 3 m is ________ J. ($g=10\ {\mathrm{m}/\mathrm{s}^{2}}$)

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10. JEE Main 2026 · 28 Jan · Shift 2 · Rolling Motion

    When the position vector ${\vec{r}}=x{\hat{i}}+y{\hat{j}}+z{\hat{k}}$ changes sign as $-{\vec{r}}$, which one of the following vector will not flip under sign change?

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11. JEE Main 2026 · 28 Jan · Shift 1 · Moment of Inertia

    Two circular discs of radius each 10 cm are joined at their centres by a rod of length 30 cm and mass 600 gm as shown in figure.

    If the mass of each disc is 600 gm and applied torque between two discs is $43\times {10}^{5}$ dyne.cm, the angular acceleration of the discs about the given axis $AB$ is $\_\_\_\_$ ${\mathrm{rad}}/{\mathrm{s}}^{2}$.

    
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12. JEE Main 2026 · 24 Jan · Shift 2 · Moment of Inertia

    A thin uniform rod $(X)$ of mass $M$ and length $L$ is pivoted at a height $\left(\frac{L}{3}\right)$ as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is $\_\_\_\_$ .

    ( ${\mathrm{g}}=$ gravitational acceleration)

    
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Practise the 2026 Rotational Motion questions online

Sample questions from recent papers

JEE Main 2026 · 23 Jan · Shift 1 · Torque and Angular Momentum

Two small balls with masses $m$ and 2 m are attached to both ends of a rigid rod of length $d$ and negligible mass. If angular momentum of this system is $L$ about an axis (A) passing through its centre of mass and perpendicular to the rod then angular velocity of the system about $A$ is :

1. (A)

   $\frac{4}{3}\frac{L}{md^{2}}$

2. (B)

   $\frac{3}{2}\frac{L}{md^{2}}$

3. (C)

   $\frac{2L}{5md^{2}}$

4. (D)

   $\frac{2L}{md^{2}}$

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Answer: (B)

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JEE Main 2026 · 22 Jan · Shift 2 · Conservation of Angular Momentum

A uniform bar of length 12 cm and mass 20 m lies on a smooth horizontal table. Two point masses $m$ and $2m$ are moving in opposite directions with same speed of $v$ and in the same plane as the bar, as shown in figure. These masses strike the bar simultaneously and get stuck to it. After collision the entire system is rotating with angular frequency $\omega$. The ratio of $v$ and $\omega$ is :

1. (A)

   33

2. (B)

   $2\sqrt{88}$

3. (C)

   32

4. (D)

   66

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Answer: (A)

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JEE Main 2024 · 1 Feb · Shift 2 · Angular Impulse

A uniform rod $A B$ of mass $2 \mathrm{~kg}$ and length $30 \mathrm{~cm}$ at rest on a smooth horizontal surface. An impulse of force $0.2 \mathrm{~Ns}$ is applied to end B. The time taken by the rod to turn through at right angles will be $\frac{\pi}{x} \mathrm{~s}$, where $x=$ _______ .

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Answer: 4

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JEE Main 2023 · 1 Feb · Shift 2 · Parallel and Perpendicular Axis Theorems

Moment of inertia of a disc of mass '$M$' and radius '$R$' about any of its diameter is $\frac{M R^{2}}{4}$. The moment of inertia of this disc about an axis normal to the disc and passing through a point on its edge will be, $\frac{x}{2}$ MR$^{2}$. The value of $x$ is ___________.

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Answer: 3

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The free PDF above has all 172 questions grouped by topic, with an answer key.

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