Rotational Motion Questions

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 shown in figure. When string is cut, the initial angular acceleration of the rod ...

A mass m is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on rele...

A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed ω rad/s about the vertical. About...

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 round the cylinder with one endattached to it and other hanging freely. Tension ...

The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle ′θ′ without slipping and slipping down the incline without rolling is...

A ring and a solid sphere of same mass and radius are rotating with the same angular velocity about their diameteric axes then :-

Three solid spheres of mass M and radius R are shown in the figure. The moment of inertia of the system about XX′ axis will be :-...

The maximum and minimum distance of a comet from the sun are 14 × 109 m and 7× 107m respectively. If the maximum velocity of the comet is 6 × 102 km/sec, its minimum velocity will be:-...

Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX′ which is touching to two shells and passing through diameter of third shell.Mome...

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities ω1 and ω2. They are brou...

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 the moment of inertia of the remaining part of the disc about a perpendicular axi...

From a uniform circular disc of radius R and mass 9M, a small disc of radius R3 is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane ...

Seven identical circular planar disks, each of mass M and radius R are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through th...

A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy (Kt) as well as rotational kinetic energy (Kr) simultaneously. The ratio Kt : (Kt + Kr) for the sph...

A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere is increased keeping its mass same. Which of the following physical quantities would remain constant f...

A hoop of radius r and mass m rotating with an angular velocity ω0 is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of th...

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bea...

A circular platform is mounted on a frictionless vertical axle. Its radius R = 2 m and its moment ofinertia about the axle is 200 kg m2. It is initially at rest. A 50 kg man stands on the edge of thep...

The moment of inertia of uniform circular disc is maximum about an axis perpendicular to the discand passing through...

A solid cylinder of mass 3 kg is rolling on a horizontal surface with velocity 4 ms-1. It collides with ahorizontal spring of force constant 200 Nm-1. The maximum compression produced in the spring wi...