A wire is bent an an angle `theta`. A rod of mass m can slide along the bended wire without friction as shown in Fig. A soap film is maintained in the frame kept in a vertical position and the rod is in equilibrium as shown in the figure. If rod is displaced slightly in vertical direction, then the time period of small oscillation of the rod is

A rod of mass m can move vertically on two fixed inclined rod in vertical plane, weight of the rod is blanced by thin liquid film between rods as shown. (Surface tension of liquid is S). If rod is displaced a little in downward direction and released, then what will be the time period of oscillation of rod.

A rod of mass m can move vertically on two fixed inclined rod in vertical plane, weight of the rod is blanced by thin liquid film between rods as shown. (Surface tension of liquid is S). If rod is displaced a little in downward direction and released, then what will be the time period of oscillation of rod.

A unifrom rod of mass m and length l_(0) is pivoted at one end and is hanging in the vertical at one end and is hagingh in the vertical direction.The period of small angular oscillations of the rod is

A unifrom rod of mass m and length l_(0) is pivoted at one end and is hanging in the vertical at one end and is hagingh in the vertical direction.The period of small angular oscillations of the rod is

A wire frame ABCD has a soap film. The wire BC can slide on the frame without friction and it is in equilibrium in the position shown in the figure. Find m, if T is the surface tension of the liquid.

A wire frame ABCD has a soap film. The wire BC can slide on the frame without friction and it is in equilibrium in the position shown in the figure. Find m, if T is the surface tension of the liquid.

A small block is connected to a mass less rod, which is turn is attached to a spring of force constant k as shown in Fig. The blcok is displaced down slightly, and left free. Find time period of small oscillations.

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

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle theta ,find the period of oscillations: