A small point mass m has a charge q, which is constrained to move inside a narrow frictionless cylinder, At the bae of the cylinder is point mass of charge Q having the same sign as q. If the mass m is displaced by a small amount from its equilibrium position and released. it will exhibit simple harmonic motion. Find the angular frequency of the mass?

A pendulum of mass m and length L is connected to a spring as shown in figure. If the bob is displaced slightly from its mean position and released, it performs simple harmonic motion. The angular frequency of the oscillation of bob is

A small beads of mass ma having charge -q is constrained to move along a froctionless wire. A positive charges Q lies at a distance L from the wire. Initiallym the bead is just above charge +Q. Show that if the bead is displaced a distance x, where xltltL , and released, it will exhibit simple harmonic motion. obtain an expression for the tive period of simple harnonic motion.

A small beads of mass ma having charge -q is constrained to move along a froctionless wire. A positive charges Q lies at a distance L from the wire. Initiallym the bead is just above charge +Q. Show that if the bead is displaced a distance x, where xltltL , and released, it will exhibit simple harmonic motion. obtain an expression for the tive period of simple harnonic motion.

Two springs of spring constant k_(1)and k_(2) are connected by a mass m as shown in the figure. Under negligible friction, if the mass is displaced by small amount x from its equilibrium position and released, the period of oscillation is

A horizontal rod of mass m and length L is pivoted at one end The rod's other end is supported by a spring of force constant k. The rod is displaced by a small angle theta from its horizontal equilibrium position and released. The angular frequency of the subsequent simple harmonic motion is

A horizontal rod of mass m and length L is pivoted at one end The rod's other end is supported by a spring of force constant k. The rod is displaced by a small angle theta from its horizontal equilibrium position and released. The angular frequency of the subsequent simple harmonic motion is

A small sphere of mass m and having charge q is suspended by a light thread.

A point mass m is displaced slightly from point O and released. It is constrained to move along parabolic path having equation x^(2)=ky then its angular frequency of oscillation is :

A point mass m is displaced slightly from point O and released. It is constrained to move along parabolic path having equation x^(2)=ky then its angular frequency of oscillation is :

A simple pendulum of mass m and charge +q is suspended vertically by a massless thread of length l. At the point of suspension, a point charge +q is also fixed. If the pendulum is displaced slightly from equilibrium position, its time period will be