Systems of Part...

A thin wire of length l and mass m is bent in the form of a semicircle, Fig. Its moment of inertia about an axis joining its free ends will be

Three rings each of mass P and radius Q are arranged as shown in Fig. The moment of inertia of the arrangement about YY’ will be

A thin rod of length L and mass M is bent at the middle point O at an angle of 60^o, Fig. The moment of inertia of the rod about an axis passing through O and perpendicular to the plane of the rod will be

Two uniform thin rods each of mass M and length l are placed along X and Y axis with one end of each at the origin. M.I. of the system about Z-axis is

Three identical thin rods each of length l and mass M are joined together to form a letter H. What is the moment of inertia of the system about one of the sides of H ?

Four spheres of diameter 2α and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis along one of the sides of the square is

A particle of mass m is fixed to one end of a light spring of force constant k and unstretched length l. The system is rotated about the other end of the spring with an angular velocity ω, in gravity free space. The increase in length of the spring will be

A wheel of mass 8 kg and radius 40 cm is rolling on a horizontal road with angular velocity of 15 rad/s. The moment of inertia of the wheel about its axis is 0.64 kg m². Total KE of wheel is

A constant torque acting on a uniform circular wheel changes its angular momentum from A to 4 A in 4 seconds. The magnitude of the torque is

A man standing on a rotating table is holding two masses at arm’s length. Without moving his arms, he drops the two masses. His angular speed will