Question

Assertion (A): The total mechanical energy of a simple harmonic oscillator remains constant during oscillation. Reason (R): Energy is continuously converted between kinetic and potential forms, but the total energy remains unchanged.

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in Fig.

A block of mass 2 kg is attached to a spring with a spring constant of 100 N/m. It is pulled to a distance of 0.2 m from its equilibrium position and released from rest on a smooth horizontal surface. Calculate: a) The total energy of the system, b) The kinetic energy and potential energy when the block is 10 cm away from the equilibrium position.

A body of mass 0.5 kg is executing SHM with amplitude 0.1 m and spring constant 200 N/m. Calculate: (a) Time period of oscillation (b) Maximum velocity (c) Total energy (d) Kinetic and potential energy when the body is 0.05 m from the mean position