A uniform stick of length l is hinged so as to rotated about a harmonic axis perpendicular to the stick, at a distance from the center . Find the value of x, for which the time period is minimum.

A uniform stick of length l is mounted so as to rotate about a horizontal axis perpendicular to the stick and at a distance d from the centre of mass. The time period of small oscillation has a minimum value when d//l is

A uniform stick of length l is mounted so as to rotate about a horizontal axis perpendicular to the stick and at a distance d from the centre of mass. The time period of small oscillation has a minimum value when d//l is

A uniform circular disc of radius R oscillates in a vertical plane about a horizontal axis. Find the distance of the axis of rotation from the centre of which the period is minimum. What is the value of this period?

A uniform circular disc of radius R oscillates in a vertical plane about a horizontal axis. Find the distance of the axis of rotation from the centre of which the period is minimum. What is the value of this period?

The radius of gyration of a uniform rod of mass m and length l about an axis perpendicular to its length and at distance l/4 from its centre will be

A uniform stick of length l and mass m lies on a smooth table. It rotates with angular velocity omega about an axis perpendicular to the table and through one end of the stick. The angular momentum of the stick about the end is

A uniform stick of length l and mass m lies on a smooth table. It rotates with angular velocity omega about an axis perpendicular to the table and through one end of the stick. The angular momentum of the stick about the end is

The radius of gyration of a uniform rod of mass m and length l about an axis perpendicular to its length and at distance l/4 from its one end will be

Two point masses A of mass M and B of mass of 4M are fixed at the ends of a rod of length l and of negligible mass. The rod is set rotation about an axis perpendicular to its length with a uniform angular speed. The work required for rotating the rod will be minimum when the distance of axis of rotation from the mass A is at