Energy of 484 J is spent in increasing the speed of a flywheel from 60 r.p.m. to 360 r.p.m. find moment of inertia of the flywheel.

Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR^2//5 , where M is the mass of the sphere and R is the radius of the sphere.

Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR^2//4 , find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

A Merry-go-round made of a ring-like platform of radius R and mass M is revolving with angular speed omega . A person of mass M is standing on it. At one instant, the person jumps off the round radially away from the center of the round (as seen from the center of the round (as seen from the round). The speed of the round afterwards is

Two lines l and m are intersect at the point O is a point on a line n passng through the passed O such that P is equidistant from l and m. find than n is the bisector of the angle formed by l and m.

From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30^@ . A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^@ . Find the length of the flagstaff.

A body of mass 20g is rotating around a pole 50 cm away with a frequency 5 r.p.s.Find the rotational kinetic energy of the body.

From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30^@ .A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^@ . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3 = 1.732)

With two resistance R_1 and R_2 (>R_1) in the two gaps of a metre bridge the balance was found to be 1/3 m from the zero end. When a 6 Omega resistance is connected in series with the smaller of the two resistance, the point is shifted to 2/3 m from the same end, then R_1 and R_2 Find the resistance of the two wires.

A paticle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum, then the radial force acting on the particle is

A paricle of charge q and mass m moves in a circular orbit of radius r with angular speed omega . The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on.