JEE Previous Year Questions: Rotational Motion - JEE MCQ

Initial angular velocity of a circular disc of mass M is w₁. Then two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc ?  

[AIEEE 2002]

Let  be the force acting on a particle having position vector and  be the torque of this force about the origin. Then 

 [AIEEE 2003]

A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is  

[AIEEE 2003]

A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected ? 

[AIEEE 2004]

One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively I_A and I_B such that  

  [AIEEE 2004]

A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force  is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C.

[AIEEE 2005]

The moment of inertia of uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is

[AIEEE 2005]

An angular ring with inner and outer radii R₁ and R₂ is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring,  is   

[AIEEE 2005]

A thin circular ring of mass m and radius R is rotating about its axis with a constant angular velocity w. Two objects each of mass M are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity w' = 

[AIEEE 2006]

Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of this system about an axis passing through A and parallel to BD is

[AIEEE 2006]

Angular momentum of the particle rotating with a central force is constant due to

[AIEEE 2007]

A round uniform body of radius R, mass M and moment of inertia I, rolls down (without slipping) an inclined plane making an angle q with the horizontal. Then its acceleration is

[AIEEE 2007]

For the given uniform square lamina ABCD, whose centre is O

[AIEEE 2007]

Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

  [AIEEE 2008]

A thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is w. Its centre of mass rises to maximum height of

[AIEEE 2009]

A pulley of radius 2 m is rotated about its axis by a force F = (20t _ 5t²) N (where t is measured in seconds) applied tangentially. It the moment of inertia of the pulley about its axis of rotation is 10 kg-m² the number of rotations made by the pulley before its direction of motion if reserved, is 

[AIEEE 2011]

A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc.

[AIEEE 2011]

A hoop of radius r and mass m rotating with an angular velocity w₀ is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it cases to slip ?

  [JEE Mains 2013]