JEE Advanced System of Particles and Rotational Motion — previous year questions
46 questions from 2026, 2024, 2023, 2022, 2021, 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007.
- A particle of mass m, and angular momentum ell is moving in a circular orbit of radius r₀ under the influence…
- Consider a large disk of radius R and two smaller disks, each of radius r = R/50, lying on its circumference,…
- A solid cylinder of radius R rolls without slipping with a center of mass speed v₀ = √(gR/3) on a horizontal…
- A disc of mass M and radius R is free to rotate about its vertical axis as shown in the figure. A battery…
- A bar of mass M = 1.00 kg and length L = 0.20 m is lying on a horizontal frictionless surface. One end of the…
- An annular disk of mass M, inner radius a and outer radius b is placed on a horizontal surface with…
- A flat surface of a thin uniform disk A of radius R is glued to a horizontal table. Another thin uniform disk…
- A particle of mass 1 kg is subjected to a force which depends on the position as F = -k(x i + y j) kg ms⁻2…
- At time t = 0, a disk of radius 1 m starts to roll without slipping on a horizontal plane with an angular…
- A solid sphere of mass 1 kg and radius 1 m rolls without slipping on a fixed inclined plane with an angle of…
- A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = -l, y = -h), where l = 10…
- A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R,…
- Put a uniform meter scale horizontally on your extended index fingers with the left one at 0.00 cm and the…
- A rod of mass m and length L, pivoted at one of its ends, is hanging vertically. A bullet of the same mass…
- A football of radius R is kept on a hole of radius r (r < R) made on a plank kept horizontally. One end of…
- A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is…
- A uniform wooden stick of mass 1.6 kg and length l rests in an inclined manner on a smooth, vertical wall of…
- Consider a body of mass 1.0 kg at rest at the origin at time t=0. A force F=(α t î+β ĵ) is applied on the…
- The potential energy of a particle of mass m at a distance r from a fixed point O is given by V(r) = (k…
- A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle…
- In the Column-I below, four different paths of a particle are given as functions of time. In these functions,…
- Consider regular polygons with number of sides n = 3, 4, 5, … as shown in the figure. The center of mass of…
- A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A…
- A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown…
- A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A…
- The position vector r⃗ of a particle of mass m is given by the following equation r⃗(t) = α t³î + β t²ĵ,…
- Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a…
- A ring of mass M and radius R is rotating with angular speed ω about a fixed vertical axis passing through…
- Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting…
- A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two…
- A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless…
- A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s^-1…
- Consider a disc rotating in the horizontal plane with a constant angular speed ω about its centre O. The disc…
- A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The…
- A lamina is made by removing a small disc of diameter 2R from a bigger disc of uniform mass density and…
- The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a…
- Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the…
- A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies…
- A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A…
- A binary star consists of two stars A (mass 2.2M_s) and B (mass 11M_s), where M_s is the mass of the sun.…
- Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of…
- If the resultant of all the external forces acting on a system of particles is zero, then from an inertial…
- A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of…
- STATEMENT-1 : Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical…
- STATEMENT-1: If there is no external torque on a body about its center of mass, then the velocity of the…
- A small object of uniform density rolls up a curved surface with an initial velocity v. It reaches up to a…