Waves And Oscillations

One-third of spring having force constant k is cut and mass m is suspended to it. If the frequency of oscillation of the original spring with the same mass is/then the frequency of oscillation in one-third of spring is

Time period of a simple pendulum is . If its length increases by , the new time period becomes

A person measures the time period of a simple pendulum inside a stationary lift and finds it to be . If the lift starts accelerating upwards with an acceleration , the time period of the pendulum will be

An oscillator consists of a block attached to a spring . At some time t, the position (measured from the systems equilibrium location), velocity and acceleration of the block are , and . The amplitude of the motion and the mass of the block are

For a damped harmonic oscillator of mass , the values of spring constant and damping constant are and , respectively. What is the period of motion ?

The time-period of a physical pendulum is , where is the moment of inertia of the pendulum about the axis of rotation and is perpendicular distance between the axis of rotation and the centre of mass of the pendulum A circular ring hangs from a nail on a wall. The mass of the ring is and its radius is . If the ring is slightly displaced, the time of resulting oscillations will be