Deduce an expression for the period of oscillation of a simple pendulum.

Derive an expression for period of oscillation of a loaded spring.

The motions that repeat themselves are called periodic motions but for a simple harmonic motion, the force must be proportional to the displacement and it is directed towards the centre of motion. Write the expression for a period of oscillation of a loaded spring.

A student is advised to study the variation of period of oscillation with the length of a simple pendulum in the laboratory. Accordingly he recorded the period of oscillation for different lengths of the pendulum. If he plots a graph between the length and period of oscillation ,what will be the shape of the graph?

A student is advised to study the variation of period of oscillation with the length of a simple pendulum in the laboratory. Accordingly he recorded the period of oscillation for different lengths of the pendulum. How would you determine the value of acceleration due to gravity using L-T^2 graph?

A simple pendulum is an object suspended by a weightless and inextensible string fixed rigidly to a support. The period of oscillation of the pendulum is T. What will be the period if the pendulum is suspended in a lift moving down with an acceleration equal to g/3 .

The simplest example of simple harmonic motion is the oscillations of a simple pendulum. In a simple pendulum made of a metallic wire, what will happen to the period when temperature increases? Give a reason.