Rotational Motion Questions

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 rod of weight W is supported by two parallel knife edges A and B and is in equilibrium in a horizontal position. The knives are at a distance d from each other. The centre of mass of the rod is at d...

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...

Which of the following statements are correct ? (a) Centre of mass of a body always coincides with the centre of gravity of the body (b) Central of mass of a body is the point at which the total gravi...

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...

A uniform circular disc of radius 50 cm at rest is free to tum about an axis which is perpendicular to its planeand passes through its centre. It is subjected to a torque which produces a constant ang...

A disk and a sphere of same radius but different masses roll off on two inclined planes of the same altitudeand length. Which one of the two objects gets to the bottom of the plane first?

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...

Three objects, A : (a solid sphere), B : (a thin circular disk) and C = (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed ω about their own symm...

The moment of the force, F→=4i^+5j^-6k^ at (2, 0, –3), about the point (2, –2, –2), is given by:-...

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 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 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 :-...