The energy of a system in simple harmonic motion is given by Which of the following two statements is more appropriate?
(A) The energy is increased because the amplitude is increased.
(B) The amplitude is increased because the energy is increased.
By looking at the equation given above, both the statements looks correct but statement B is more appropriate. As the energy increases, the amplitude increases. It is because as the amplitude increases it balances the increment in the energy of the system. Therefore, increase in energy leads to increase in amplitude.
It is proposed to move a particle in simple harmonic motion on a rough horizontal surface by applying an external force along the line of motion. Sketch the graph of the applied force against the position of the particle. Note that the applied force has two values for a given position depending on whether the particle is moving in positive or negative direction.
A hollow sphere filled with water is used as the bob of a pendulum Assume that the equation for simple pendulum is valid with the distance between the point of suspension and centre of mass of the bob acting as the effective length of the pendulum. If water slowly leaks out of the bob, how will the time period vary?