A rod of mass `m` and length 2 R is fixed along the diameter of a ring of same mass `m` and radius R as shown in figure. The combined body is rolling without slipping along x-axis find the angular momentum about z-axis.

A solid sphere of mass m and radius R is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

The moment of inertia of a ring of mass M and radius R about PQ axis will be

The moment of inertia of a ring of mass M and radius R about PQ axis will be :-

Find the moment of inertia of the rod AB about an axis yy as shown in figure. Mass of the rod is m and length is l.

A ring of mass M and radius R is at rest at the top of an incline as shown. The ring rolls down the plane without slipping. When the ring reaches bottom, its angular momentum about its centre of mass is:

A point particle of mass m is released from a distance sqrt(3)R along the axis of a fixed ring of mass M and radius R as shown in figure. Find the speed of particle as it passes through the centre of the ring.

A uniform rod of mass m and length L is fixed to an axis, making an angle theta with it as shown in the figure. The rod is rotated about this axis so that the free end of the rod moves with a uniform speed ‘v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

x and y are the axes along the diameter of a disk of mass m and radius R. z-axis is perpendicular to plane of the disk. Assertion: radius of gyration is same about all the axis Reason: all axes are symmetry axes.

A disc of mass m and radius R is attached to a rectangular plate of the same mass m, breadth R and length 2R as shown in figure. The moment of inertia of the system about the axis AB passing through the centre of the disc and along the plane is I = 1/(alpha) (31/3 m R^2) .