Calculation OF time periods

Calculate the time period of a uniform square plate of side 'a' if it is suspended through a corner.

Calculate the time period of a particle whose acceleration is 5 cm s^(-2) at a distance of 5 cm from the mean posiiton.

Consider the situastion shown in figure. Show that if that blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period.

Calculate the time period and frequency of oscillation if the maximum velocity of a particle executing simple harmonic motion is 6 m/s and amplitude is 5 mm.

An electron is moving in an orbit in hydrogen atom of radius 0.5xx 10^(-10) m. Calculate the time period of electron about the nucleus

The simple pendulum of length 40 cm is taken inside a deep mine. Assume for the time being that the mine is 1600 km deep. Calculate the time period of the pendulum there. Radius of the earth =6400 km.