The bob of a swinging second pendulum (one whose time period is 2 s) has a small speed v₀ at its lowest point. It height from this lowest point 2.25 s after passing through it, is given by

In case of a simple harmonic motion, if the velocity is plotted along the X-axis and the displacement (from the equilibrium position) is plotted along the Y-axis, the resultant curve happens to be an ellipse with the ratio $${{major\,axis\,(along\,X)} \over {minor\,axis\,(along\,Y)}} = 20\pi $$

What is the frequency of the simple harmonic motion?

The velocity of a particle executing a simple harmonic motion is 13 ms^$$-$$1, when its distance from the equilibrium position (Q) is 3 m and its velocity is 12 ms^$$-$$1, when it is 5 m away from Q. The frequency of the simple harmonic motion is

A uniform string of length L and mass M is fixed at both ends while it is subject to a tension T. It can vibrate at frequencies (v) given by the formula (where n = 1, 2, 3, ....)