Simple Harmonic...

Equation of simple harmonic motion of a particle is y = (0.4 m) sin314t, where time t is in second. Frequency of vibration of the particle is

A particle starts SHM from the mean position. Its amplitude is A and time period is T. At the time when its speed is half of its maximum speed, its displacement is

The acceleration of a particle in SHM is

A particle moves in the XY plane according to the equation  The motion of the particle is along:

A particle is performing SHM with amplitude A and angular velocity ω. The ratio of the magnitude of maximum velocity to maximum acceleration is

Values of the acceleration A of a particle moving in simple harmonic motion as a function of its displacement x are given below

The period of the motion is :

The acceleration-time graph of a particle undergoing SHM is shown in the figure.

A particle is executing SHM about origin along X-axis, between points A(α, 0) and B(-α, 0). Its time period of oscillation is T. The magnitude of its acceleration T/12 second after the particle reaches point A will be

A particle executes linear oscillation such that its epoch is zero. The ratio of the magnitude of its displacement in 1st second and 2nd second is (Time period = 12 seconds)

A simple pendulum attached to the ceiling of a stationary lift has a time period of 1 s. The distance y covered by the lift moving downward varies with time as y = 3.75 t², where y is in meters and t is in seconds. If g = 10 m/s², then the time period of the pendulum will be