A pendulum is displaced to an angle from its equilibrium position; then it will pass through its mean position with a velocity v equal to:

When a long spring is stretched by 2 cm., its potential energy is U.  If the spring is stretched by 10 cm, the potential energy in it will be:

Two simple pendulums of length 0.5m and 2.0m respectively are given small linear displacement in one direction at the same time.  They will again be in the same phase when the pendulum of shorter length has completed oscillations:

Two simple harmonic motions with the same frequency act on a particle at right angles ie, along X and Y-axis.  If the two amplitudes are equal and the phase difference is , the resultant motion will be:

In SHM restoring force is F=-kx, where k is the force constant, x is displacement and a is the  amplitude of motion, then total energy depends upon:

A point performs simple harmonic oscillation of period T and the equation of motion is given by
After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity ?

A hollow sphere filled with water forms the bob of a simple pendulum.  A small hole at the bottom of the bob allows the water to slowly flow out as it is set into small oscillations and its period of oscillations is measured.  The time period will:

A particle starts simple harmonic motion from the mean position.  Its amplitude is a and time period is T.  What is its displacement when its speed is half of its maximum speed ?

A simple harmonic oscillator has an amplitude and time period T.  The time required by it to travel from      x = to x = is

Two springs A and B have force constants K_A  and K_B such that k_B =2k_A. The four ends of the springs are stretched by the same force.  If the energy stored in spring A is E, then the energy stored in spring B will be: