A simple pendulum is oscillating with a frequency 'F' on the surface of the Earth. If it is taken to a depth R3 below the surface of the Earth (where R is the radius of the Earth), what will be its frequency of oscillation?

A particle undergoes Simple Harmonic Motion (SHM) with angular frequency ω = 0.5 rad/s and amplitude A = 5 cm. Find the magnitude of acceleration when its displacement from the mean position is x = 4 cm.

A particle moves along the x-axis in simple harmonic motion such that its speed varies as v2 = 100 - x2. Determine the time period T of oscillation.