The figure shows a simple pendulum consisting of a ball attached to the end of a light inextensible string of length 165 cm. The pendulum started moving from rest from point oscillating through an angle of , where . Find the speed of the ball at the point , given that it is the midpoint of the ball’s path. Take the acceleration due to gravity .
A light inextensible string of length 32 cm is used to hang a pendulum. If the pendulum starts moving from rest from point , how many times will the pendulum pass by the equilibrium position after 2 seconds? Take the acceleration due to gravity to be 9.8 m/s2.
A pendulum of length has a period of . If the pendulum’s length is decreased by , the period becomes . Find the ratio of to three decimal places.