Average velocity of a particle executing SHM in one complete vibration is :

The displacement of a particle executing simple harmonic motion is given by

y = A₀ + A sin$$\omega $$t + B cos$$\omega $$t.

Then the amplitude of its oscillation is given by :

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m s^–2 at a distance of 5 m from the mean position. The time period of oscillation is

A spring of force constant k is cut into lengths of ratio 1 : 2 : 3. They are connected in series and the new force constant is K'. Then they are connected in parallel and force constant is k''. Then k' : k'' is