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Moment of Force and Torque for JEE: 30 solved questions

Real JEE paper questions on moment of force and torque, part of rotational motion. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2003 to 2026. No sign-in needed to read them.

What this topic asks

• Torque and moment of a force — 19 questions
• Static equilibrium — 7 questions
• Toppling and turning about an edge — 2 questions
• Torque and angular acceleration — 1 question
• Rotational energy and released bodies — 1 question

All 30 questions with solutions

• The torque due to the force (2̂i+̂j+2̂k) about the origin, acting on a particle whose position vector is (̂i+… JEE Main 28th June 2nd Shift 2022
• The torque of a force ⃗F=5̂i+3̂j-7̂k acting on a particle at position vector ̂i+̂j+̂k with respect to the ori… JEE Main 20th July 1st Shift 2021
• A force ⃗F=(̂i+2̂j+3̂k) N acts at a point (4̂i+3̂j-̂k) m. The torque of this force about the origin is JEE Main 25th Jan 1st Shift 2023
• To mop-clean a floor, a circular mop of radius R is pressed vertically down with a total force F and rotated… JEE Main 4th Sept 2nd Shift 2020
• Which of the following statements about the torque acting on a body is correct? (I) τ⃗=⃗r×⃗F; (II) τ⃗=Iα⃗; (I… JEE Main 27th July 2nd Shift 2021
• A solid sphere of radius 4 cm and mass 5 kg is rotating about an axis through its centre with an angular velo… JEE Main 6th April 1st Shift 2026
• A square lamina OABC of side 10 cm is pivoted at O, with O at the bottom-left corner, A at the bottom-right,… JEE Main 2nd April 1st Shift 2025
• Which of the following are correct expressions for the torque acting on a body? A. τ⃗=⃗r×⃗L B. τ⃗=d/(dt)(⃗r×⃗… JEE Main 4th April 1st Shift 2025
• A uniform rod of mass 250 g and length 100 cm is balanced on a sharp edge at the 40 cm mark. A mass of 400 g… JEE Main 28th Jan 2nd Shift 2025
• A heavy iron bar of weight W has one end on the ground and the other on the shoulder of a person. The bar mak… JEE Main 9th April 1st Shift 2024
• A heavy iron bar of weight 12 kg has one end on the ground and the other on the shoulder of a man. The rod ma… JEE Main 27th Jan 2nd Shift 2024
• The torque of a force ⃗F=5̂i+3̂j-7̂k about the origin is τ⃗. If the force acts on a particle whose position v… JEE Main 29th July 2nd Shift 2022
• If a force ⃗F=3̂i+4̂j-2̂k acts on a particle having position vector 2̂i+̂j+2̂k, then the torque about the ori… JEE Main 25th June 1st Shift 2022
• An equilateral triangular plate OPQ of side 10 cm lies in the xy-plane with O at the origin and Q on the posi… JEE Main 17th March 1st Shift 2021
• A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a<R) by applying a force F… JEE Main 2nd Sept 1st Shift 2020
• A block of mass m=1 kg slides with velocity v=6 m/s on a frictionless horizontal surface and collides with a… JEE Main 3rd Sept 1st Shift 2020
• A particle of mass m is moving along a trajectory given by x=x₀+a cos ω₁ t and y=y₀+b sin ω₂ t. The torque ac… JEE Main 10th April 1st Shift 2019
• An L-shaped object made of thin rods of uniform mass density is suspended by a string tied at A. The two arms… JEE Main 9th Jan 1st Shift 2019
• A rectangular slab lies in the xy-plane with one corner at the origin O, extending 4 m along x and 6 m along… JEE Main 11th Jan 1st Shift 2019
• The magnitude of the torque on a particle of mass 1 kg is 2.5 N m about the origin. If the force acting on it… JEE Main 11th Jan 2nd Shift 2019
• A force of 40 N acts at a point B at the end of an L-shaped object. The object has a vertical arm of length 4… JEE Main Online 2018
• A uniform rod AB is suspended from a point X at a variable distance x from A. To make the rod horizontal, a m… JEE Main Online 2018
• In a physical balance working on the principle of moments, the beam becomes horizontal when a 5 mg weight is… JEE Main Online 2017
• A force of -F̂k acts at O, the origin of the coordinate system. The torque about the point (1, -1) is AIEEE 2006
• Let ⃗F be the force acting on a particle having position vector ⃗r, and let ⃗T be the torque of this force ab… AIEEE 2003
• The coordinates of a particle with respect to the origin in a given reference frame are (1, 1, 1) m. If a for… JEE Main 29th Jan 1st Shift 2025
• A force of -P̂k acts on the origin of the coordinate system. The torque about the point (2, -3) is P(âi+b̂j)… JEE Main 10th April 2nd Shift 2023
• A force ⃗F=4̂i+3̂j+4̂k is applied at the point where the plane x=2 meets the x-axis. The magnitude of the tor… JEE Main 16th March 2nd Shift 2021
• A force ⃗F=(̂i+2̂j+3̂k) N acts at a point (4̂i+3̂j-̂k) m. The magnitude of the torque about the point (̂i+2̂j… JEE Main 5th Sept 1st Shift 2020
• A uniform cubical box of side a rests on a rough floor and is to be moved by applying the minimum possible fo… JEE Main 7th Jan 2nd Shift 2020