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Rotational Motion

Physics

Previous Years Questions

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The ratio of the radius of gyration of a thin uniform disc about an axis passing through its centre and normal to its pl...
NEET 2022
Two objects of mass 10 kg and 20 kg respectively are connected to the two ends of a rigid rod of length 10 m with neglig...
NEET 2022
The angular speed of a fly wheel moving with uniform angular acceleration changes from 1200 rpm to 3120 rpm in 16 second...
NEET 2022
A uniform rod of length 200 cm and mass 500 g is balanced on a wedge placed at 40 cm mark. A mass of 2 kg is suspended f...
NEET 2021
From a circular ring of mass 'M' and radius 'R' an arc corresponding to a 90$$^\circ$$ sector is removed. The moment of ...
NEET 2021
Find the torque about the origin when a force of 3 $$\hat j$$ N acts on a particle whose position vector is 2 $$\hat k... NEET 2020 Phase 1 Two particles of mass 5 kg and 10 kg respectively are attached to the two ends of a rigid rod of length 1 m with negligi... NEET 2020 Phase 1 A disc of radius 2 m and mass 100 kg rolls on a horizontal floor. Its centre of mass has speed of 20 cm/s. How much work... NEET 2019 Two particles A and B are moving in uniform circular motion in concentric circles of radii rA and rB with speed vA and v... NEET 2019 A solid cylinder of mass 2 kg and radius 4 cm is rotating about its axis at the rate of 3 rpm. The torque required to st... NEET 2019 The moment of the force,$$\overrightarrow F = 4\widehat i + 5\widehat j - 6\widehat k$$at (2, 0, –3), about the point... NEET 2018 Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass M and... NEET 2018 A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping i... NEET 2018 A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (Kt) as well as rot... NEET 2018 A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder... NEET 2017 Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the pl... NEET 2017 Which of the following statements are correct ? (1)&nbsp;&nbsp;&nbsp;Centre of mass of a body always coincides with the... NEET 2017 A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plane and pa... NEET 2016 Phase 1 From a disc of radius R and mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is t... NEET 2016 Phase 1 A disc and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length.... NEET 2016 Phase 1 A light rod of length$$l$$has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about... NEET 2016 Phase 2 A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of same mass and same radius is a... NEET 2016 Phase 2 Two rotating bodies A and B of masses m and 2m with moments of inertia$${I_A}$$and$${I_B}$$($${I_B}$$&gt;$${I_A}...
NEET 2016 Phase 2
A mass m moves in a circle on a smooth horizontal plane with velocity v0 at a radius R0. The mass is attached to a strin...
AIPMT 2015 Cancelled Paper
Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX' which ...
AIPMT 2015 Cancelled Paper
A rod of weight W is supported by two parallel knife edges A and B and is in equilibrium in a horizontal position. The k...
AIPMT 2015 Cancelled Paper
A force $$\overrightarrow F = \alpha \widehat i + 3\widehat j + 6\widehat k$$ is acting at a point $$\overrightarrow r ... AIPMT 2015 An automobile moves on a road with a speed of 54 km h$$-$$1. The radius of its wheels is 0.45 m and the moment of inerti... AIPMT 2015 Point masses m1 and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be... AIPMT 2015 The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle$$\theta $$wit... AIPMT 2014 A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound ... AIPMT 2014 A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as s... NEET 2013 Two discs are rotating about their axes, normal to the discs and passing through the centres of the discs. Disc D1 has 2... NEET 2013 (Karnataka) A small object of uniform density rolls up a curved surface with an initial velocity 'v'. It reaches upto a maximum heig... NEET 2013 The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passin... NEET 2013 (Karnataka) Three masses are placed on the x-axis : 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70cm. The distance of the c... AIPMT 2012 Mains ABC is an equilateral triangle with O as its centre.$${\overrightarrow F _1},{\overrightarrow F _2}$$and$${\overright...
AIPMT 2012 Prelims
The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through ...
AIPMT 2012 Mains
A car of mass m is moving on a level circular track of radius R. If $$\mu$$s represents the static friction between the...
AIPMT 2012 Mains
A circular platform is mounted on a frictionless vertical axle. Its radius R = 2 m and its moment of inertia about the a...
AIPMT 2012 Mains
A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45o, the ...
AIPMT 2012 Prelims
When a mass is rotating in a plane about a fixed point, its angular momentum is directed along
AIPMT 2012 Prelims
Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 m ...
AIPMT 2012 Prelims
The instantaneous angular position of a point on a rotating wheel is given by the equation $$\theta \left( t \right) = 2... AIPMT 2011 Prelims A small mass attached to a string rotates on a frictionless table top as shown. If the tension in the string is increase... AIPMT 2011 Mains The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpen... AIPMT 2011 Prelims A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity$$\omega $$. Two o... AIPMT 2010 Mains A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same heig... AIPMT 2010 Mains A gramophone record is revolving with an angular velocity$$\omega $$. A coin is placed at a distance r from the centre... AIPMT 2010 Prelims From a circular disc of radius R and mass 9M, a small disc of mass M and radius$${R \over 3}$$is removed concentricall... AIPMT 2010 Mains Two particles which are initially at rest, move towards each other under the action of their internal attraction. If the... AIPMT 2010 Prelims A circular disk of moment of inertia$${I_t}$$is rotating in a horizontal plane, about its symmetry axis, with a consta... AIPMT 2010 Prelims Four identical thin rods each of mass M and length$$l$$, form a square frame. Moment of inertia of this frame about an ... AIPMT 2009 If$$\overrightarrow F $$is the force acting on a particle having position vector$$\overrightarrow r $$and$$\overrig...
AIPMT 2009
Two bodies of mass 1 kg and 3 kg have position vectors $$\widehat i + 2\widehat j + \widehat k$$ and $$- 3\widehat i - ... AIPMT 2009 A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a... AIPMT 2009 The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around t... AIPMT 2008 A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90o. The mo... AIPMT 2008 A wheel has angular acceleration of 3.0 rad/sec2 and an initial angular speed of 2.00 rad/sec. In a time of 2 sec it has... AIPMT 2007 A uniform rod AB of length$$l$$and mass m is free to rotate about point A. The rod is released from rest in the horizo... AIPMT 2007 A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the ... AIPMT 2007 A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is... AIPMT 2006 The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter ... AIPMT 2006 A uniform rod AB of length$$l$$and mass m is free to rotate about point A. The rod is released from rest in the horizo... AIPMT 2006 Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies o... AIPMT 2005 The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc... AIPMT 2005 A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle$$\theta $$. The frictional ... AIPMT 2005 The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular... AIPMT 2004 A round disc of moment of inertia$$I$$2 about its axis perpendicular to its plane and passing through its centre is pl... AIPMT 2004 Consider a system of two particles having masses m1 and m2. If the particle of mass m1 is pushed towards the mass centre... AIPMT 2004 A wheel having moment of inertia 2 kg m2 about its vertical axis, rotates at the rate of 60 rpm about this axis. The tor... AIPMT 2004 Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side$$l$$cm (as s... AIPMT 2004 A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity$$\omega $$. Fou... AIPMT 2003 A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is ... AIPMT 2003 A stone is tied to a string of length$$l$$and is whirled in a vertical circle with the other end of the string as the ... AIPMT 2003 A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K.... AIPMT 2003 A circular disc is to be made by using iron and aluminium so that it acquired maximum moment of inertia about geometrica... AIPMT 2002 A disc is rotating with angular speed$$\omega . If a child sits on it, what is conserved
AIPMT 2002
A solid sphere of radius R is placed on smooth horizontal surface. A horizontal force F is applied at height h from the ...
AIPMT 2002
A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displaceme...
AIPMT 2002
A rod of length is 3 m and its mass acting per unit length is directly proportional to distance x from one of its end th...
AIPMT 2002
A disc is rolling, the velocity of its centre of mass is vcm. Which one will be correct?
AIPMT 2001
As shown in the figure at point O a mass is performing vertical circular motion. The average velocity of the particle is...
AIPMT 2000
For a hollow cylinder and a solid cylinder rolling without slipping on an inclined plane, then which of these reaches ea...
AIPMT 2000
For the adjoining diagram, the correct relation between I1, I2, and I3 is, (I-moment of inertia) ...
AIPMT 2000

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