The displacement of a particle along the x-axis is given by x = asin²$$\omega $$t. The motion of the particle corresponds to

The period of oscillation of a mass M suspended from a strong of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be

A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be

Which one of the following equations of motion represents simple harmonic motion ?

where k, k₀, k₁ and a are all positive.