
Starting from the origin, a body oscillates simple harmonically with a period of . After what time will its kinetic energy be of the total energy?


Important Questions on Oscillations
A wooden Cube (density of wood d) of side floats in a liquid of density with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period , then is given by

A particle of mass is located in a one-dimensional potential field whose potential energy is given by , where and are constants. The period of small oscillations of the particle

A particle executes s.h.m. of amplitude and time period . What is the minimum time required for the particle to move between two points on either side of the mean position?


Two identical springs are connected to a mass as shown in Fig. 22.67 (spring constant). If the period of the configuration in (a) is , the period of the configuration in (b) is


Two springs are joined and attached to a mass of . This system is then suspended vertically from a rigid support. The spring constant of the springs are and respectively. The period of vertical oscillations of the system will be

