JEE Main Physics · System of Particles and Rotational Motion

Center of Mass in JEE Main

Name: Center of Mass: JEE Main previous year questions
Creator: Lumi

Center of Mass (Physics, System of Particles and Rotational Motion) came 9 times in 9 of the 42 JEE Main shifts Lumi analysed, across 8 distinct ideas. 5 of them came in 2024–26; it was last asked in 2026.

Questions: 9; in 9 shifts
Ideas asked: 8; 1 asked more than once
Numerical answer: 3; 33% of its questions
Pattern: Asked most years; last asked 2026

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 5Medium 4Hard 0

Format

Single correct6 Q
Numerical value3 Q

Ideas inside the topic

8 ideas

COM of Composite Bodies2 Q
COM Acceleration in Atwood Machine1 Q
COM of Bent Wires1 Q
COM Velocity Conservation1 Q
Discrete System COM1 Q
COM of Hemispherical Bodies1 Q
COM of Non-Uniform Rod1 Q
Vector Kinematics of COM1 Q

Where it sits

Part of System of Particles and Rotational Motion, which had 66 questions in all. Center of Mass accounts for 14% of them. In Lumi's JEE taxonomy it belongs to Mechanics.

Some questions sit in other chapters too: Laws of Motion.

Every question

All 9 Center of Mass questions

Newest first, each with its options and official answer.

2 Apr 2026, Shift 2 · Q28Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes over a light frictionless pulley as shown…MediumSingle correctHas a figure
6 Apr 2026, Shift 1 · Q33The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point ( $p$ ) of normal bisector, as shown in…EasySingle correctHas a figure
6 Apr 2026, Shift 2 · Q32Two identical bodies A and B of equal masses have initial velocities $\vec{v}_1=4\hat{i}$ m/s and $\vec{v}_2=4\hat{j}$ m/s respectively.…MediumSingle correct
7 Apr 2025, Shift 1 · Q29A rod of length 5 L is bent right angle keeping one side length as 2 L. The position of the centre of mass of the system: (Consider L = 10…EasySingle correctHas a figure
8 Apr 2024, Shift 1 · Q52A uniform thin metal plate of mass 10 kg with dimensions is shown. The ratio of $x$ and $y$ coordinates of center of mass of plate in…MediumNumerical valueHas a figure
25 Jul 2021, Shift 1 · Q21A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to move in the…MediumNumerical value
8 Jan 2020, Shift 1 · Q3The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg. (The coordinates of the same are shown…EasySingle correctHas a figure
9 Jan 2020, Shift 2 · Q5A rod of length $L$ has non-uniform linear mass density given by $\rho(x) = a + b\left(\frac{x}{L}\right)^2$ , where $a$ and $b$ are…EasySingle correct
6 Sep 2020, Shift 2 · Q21The centre of mass of a solid hemisphere of radius 8 cm is $x$ cm from the centre of the flat surface. Then value of $x$ is ________.EasyNumerical value