In the figure shown, the spring are connected to the rod at one end and at the midpoint. The rod is hinged at its lower end. Rotational `SHM` of the rod (Mass `m`, length `L`) will occur only if-

There is a rod of length l and mass m . It is hinged at one end to the ceiling. The period of small oscillation is

There is a rod of length l and mass m . It is hinged at one end to the ceiling. The period of small oscillation is

A uniform thin rod of length l is suspended from one of its ends and is rotated at f rotations per second. The rotational kinetic energy of the rod will be

A uniform thin rod of length l is suspended from one of its ends and is rotated at f rotations per second. The rotational kinetic energy of the rod will be

A rod AB of mass M and length L is shown in figure. End A of rod is hinged and end B is lying on the ground. Find the Normal reaction by ground on the rod

A rod AB of mass M and length L is shown in figure. End A of rod is hinged and end B is lying on the ground. Find the Normal reaction by ground on the rod

A rod of mass m and length L is kept on a horizontal smooth surface. The rod is hinged at its one end A . There are two springs, perpendicular to the rod, kept in the same horizontal plane. The spring of spring constant k is rigidly attached to the lower end of rod and spring of spring constant 12k just touches the rod at its midpoint C , as shown in the figure. If the rod is slightly displaced leftward and released then, the time period for small osciallation of the rod will be

A rod of mass m and length L is kept on a horizontal smooth surface. The rod is hinged at its one end A . There are two springs, perpendicular to the rod, kept in the same horizontal plane. The spring of spring constant k is rigidly attached to the lower end of rod and spring of spring constant 12k just touches the rod at its midpoint C , as shown in the figure. If the rod is slightly displaced leftward and released then, the time period for small osciallation of the rod will be