# Rotational Motion · Physics · JEE Advanced

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## MCQ (More than One Correct Answer)

JEE Advanced 2023 Paper 2 Online
An annular disk of mass $M$, inner radius $a$ and outer radius $b$ is placed on a horizontal surface with coefficient of friction $\mu$, as shown in t...
JEE Advanced 2021 Paper 1 Online
A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to its axis as shown in the figure...
JEE Advanced 2020 Paper 2 Offline
A rod of mass m and length L, pivoted at one of its ends, is hanging vertically. A bullet of the same mass moving at speed v strikes the rod horizonta...
JEE Advanced 2019 Paper 2 Offline
A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so that it falls by rotat...
JEE Advanced 2018 Paper 1 Offline
The potential energy of a particle of mass $$m$$ at a distance $$r$$ from a fixed point $$O$$ is given by $$V\left( r \right) = k{r^2}/2,$$ where $$k... JEE Advanced 2018 Paper 1 Offline Consider a body of mass$$1.0kg$$at rest at the origin at time$$t=0.$$A force$$\overrightarrow F = \left( {\alpha t \widehat i + \beta \wide...
JEE Advanced 2017 Paper 2 Offline
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 constant force is continuously applied on...
JEE Advanced 2017 Paper 2 Offline
A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, t...
JEE Advanced 2017 Paper 1 Offline
A block of mass $$M$$ has a circular cut with a frictionless surface as shown. The block resets on the horizontal frictionless surface of a fixed tabl...
JEE Advanced 2016 Paper 2 Offline
Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length $$l = \sqrt {24... JEE Advanced 2016 Paper 1 Offline The position vector$$\overrightarrow r $$of a particle of mass m is given by the following equation$$\$\overrightarrow r \left( t \right) = \alpha {...
JEE Advanced 2015 Paper 1 Offline
A ring of mass M and radius R is rotating with angular speed $$\omega$$ about a fixed vertical axis passing through its centre O with two point masses...
IIT-JEE 2012 Paper 2 Offline
Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder P h...
IIT-JEE 2012 Paper 2 Offline
The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed $$... IIT-JEE 2011 Paper 1 Offline A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( < L) is attached at its centre to the free end of th... IIT-JEE 2009 Paper 2 Offline A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure below, A is the point of contact, B is the centre of the spher... IIT-JEE 2009 Paper 1 Offline If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that ## Numerical JEE Advanced 2023 Paper 2 Online A thin circular coin of mass 5 \mathrm{gm} and radius 4 / 3 \mathrm{~cm} is initially in a horizontal x y-plane. The coin is tossed vertically u... JEE Advanced 2023 Paper 1 Online Two point-like objects of masses 20 ~\mathrm{gm} and 30 ~\mathrm{gm} are fixed at the two ends of a rigid massless rod of length 10 \mathrm{~cm}... JEE Advanced 2022 Paper 1 Online At time t=0, a disk of radius 1 \mathrm{~m} starts to roll without slipping on a horizontal plane with an angular acceleration of \alpha=\frac{2}... JEE Advanced 2022 Paper 1 Online A solid sphere of mass 1 \mathrm{~kg} and radius 1 \mathrm{~m} rolls without slipping on a fixed inclined plane with an angle of inclination \the... JEE Advanced 2021 Paper 1 Online A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through point O. A thin circular disc of m... JEE Advanced 2018 Paper 1 Offline Two vectors$$\overrightarrow A $$and$$\overrightarrow B $$are defined as$$\overrightarrow A =a\widehat i$$and$$\overrightarrow B = ...
JEE Advanced 2018 Paper 1 Offline
A ring and disc are initially at rest, side by side, at the top of an inclined plane which makes an angle $${60^ \circ }$$ with the horizontal. They ...
JEE Advanced 2015 Paper 2 Offline
The densities of two solid spheres A and B of the same radii R vary with radial distance r as $${\rho _A}(r) = k\left( {{r \over R}} \right)$$ and $${... JEE Advanced 2015 Paper 1 Offline Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C with linear speeds v1 and v2, r... JEE Advanced 2014 Paper 1 Offline A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal magnitude F =... JEE Advanced 2014 Paper 1 Offline A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring toy-guns, each carrying a steel... JEE Advanced 2013 Paper 1 Offline A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s-1 about its own axis, which is vertical. Two u... IIT-JEE 2011 Paper 1 Offline Four solid spheres each of diameter$$\sqrt 5 $$cm and mass 0.5 kg are placed with their centers at the corners of a square of side 4 cm. The moment ... IIT-JEE 2011 Paper 1 Offline A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of 2 N on the ring and rolls it w... ## MCQ (Single Correct Answer) JEE Advanced 2023 Paper 1 Online A bar of mass M=1.00 \mathrm{~kg} and length L=0.20 \mathrm{~m} is lying on a horizontal frictionless surface. One end of the bar is pivoted at a ... JEE Advanced 2022 Paper 2 Online A flat surface of a thin uniform disk A of radius R is glued to a horizontal table. Another thin uniform disk B of mass M and with the same ra... JEE Advanced 2022 Paper 1 Online List I describes four systems, each with two particles A and B in relative motion as shown in figures. List II gives possible magnitudes of their ... JEE Advanced 2020 Paper 1 Offline A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is on a horizontal floor and a meter scale is positi... JEE Advanced 2017 Paper 2 Offline Consider regular polygons with number of sides$$n=3,4,5....$$as shown in the figure. The center of mass of all the polygons is at height$$h$$from ... JEE Advanced 2017 Paper 2 Offline The total kinetic energy of the ring is JEE Advanced 2017 Paper 2 Offline The minimum value of$$\omega$$0 below which the ring will drop down is JEE Advanced 2016 Paper 2 Offline A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate ... JEE Advanced 2016 Paper 2 Offline A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate ... JEE Advanced 2016 Paper 1 Offline A uniform wooden stick of mass 1.6 kg and length$$l$$rests in an inclined manner on a smooth, vertical wall of height h ( <$$l$$) such that a s... IIT-JEE 2012 Paper 2 Offline Two identical discs of same radius R are rotating about their axes in opposite directions with the same constant angular speed$$\omega $$. The discs ... IIT-JEE 2012 Paper 2 Offline Consider a disc rotating in the horizontal plane with a constant angular speed$$\omega $$about its centre O. The disc has a shaded region on one sid... IIT-JEE 2012 Paper 2 Offline Which of the following statements about the instantaneous axis (passing through the centre of mass) is correct? IIT-JEE 2012 Paper 2 Offline Which of the following statements regarding the angular speed about the instantaneous axis (passing through the centre of mass) is correct? IIT-JEE 2012 Paper 1 Offline A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the xy... IIT-JEE 2012 Paper 1 Offline A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed$$\omega$$, as shown in the figure. At time t = 0, a... IIT-JEE 2008 Paper 2 Offline The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is : IIT-JEE 2008 Paper 2 Offline The centre of mass of the disk undergoes simple harmonic motion with angular frequency$$\omega$$equal to: IIT-JEE 2008 Paper 2 Offline The maximum value of V$$_0$$for which the disk will roll without slipping is: IIT-JEE 2008 Paper 1 Offline STATEMENT - 1 : Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to... IIT-JEE 2007 Paper 2 Offline A small object of uniform density rolls up a curved surface with an initial velocity$$v$$. It reaches up to a maximum height of$$\frac{3 v^{2}}{4 g}...
IIT-JEE 2007 Paper 2 Offline
STATEMENT 1 If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant. Because STATE...
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