Waves And Oscillations

Two springs are joined and attached to a mass of . The system is then suspended vertically from a rigid support. The spring constant of the two springs are and respectively. The period of vertical oscillations of the system will be

A small mass attached to one end of a spring with a negligible mass and an unstretched length , executes vertical oscillations with angular frequency . When the mass is rotated with an angular speed by holding the other end of the spring at a fixed point, the mass moves uniformly in a circular path in a horizontal plane. Then the increase in length of the spring during this rotation is

A simple pendulum of length swings in a vertical plane. The tension of the string when it makes an angle with the vertical and the bob of mass m moves with a speed is ( is the gravitational acceleration

The bob of a pendulum of mass � �, suspended by a inextensible string of length � � as shown in the figure carries a small charge � �. An infinite horizontal plane conductor with uniform surface charge density is placed below it. What will be the time period of the pendulum for small amplitude oscillations ?

In case of a simple harmonic motion, if the velocity is plotted along the -axis and the displacement (from the equilibrium position) is plotted along the -axis, the resultant curve happens to be an ellipse with the ratio: What is the frequency of the simple harmonic motion?