A second's pendulum on Earth executes simple harmonic motion. If it is taken to a planet with a mass twice that of the Earth and a radius three times that of the Earth, the time period of the pendulum on that planet would be close to:

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.