List of top Physics Questions on simple harmonic motion asked in MET

A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum of the string with respect to the vertical?

The two blocks of masses \(m_1\) and \(m_2\) are kept on a smooth horizontal table as shown. Block of mass \(m_1\) but not \(m_2\) is fastened to the spring. If now both the blocks are pushed to the left, so that the spring is compressed at a distance \(d\). The amplitude of oscillation of block of mass \(m_1\) after the system is released, is

Two pendulums have time periods T and 5T/4. They start SHM at the same time from the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation?

When the amplitude of a body executing SHM becomes twice what happens?