Physics

# Simple Periodic Motion

## Simple Periodic Motion

### Periodic Motion

An object moving along a certain path repeats its former motion repeatedly after a certain time period, this type of motion is called Periodic Motion.

### Oscillatory Motion

To move around the equilibrium position of a body is called oscillatory motion. The oscillation speed is also called the vibrational speed.

### Time period

The time taken to complete oscillation is called the time period.

### Frequency

Frequency is the number of vibrations performed by the vibrating object in one second.

### Simple Periodic Motion

If an object moves around a mean position a straight line in such a way that the acceleration of the object is inversely proportional to the displacement of the object from the mean position and the direction of acceleration is towards the mean position, then the speed of that object is the simple periodic motion ( Simple Periodic Motion).

Or

The motion generated when the pendulum is displaced slightly is called simple periodic motion.

The periodicity increases when the pendulum increases and the periodicity decreases when the length decreases.

#### Features of Simple Periodic Motion

• When a particle or body moving a simple periodic motion passes through its mean position, (a) no force acts that body (b) the velocity is maximum. (c) acceleration is 0 (d) potential energy is 0 and kinetic energy is maximum.
• When a body performing simple periodic motion passes through the last point of its motion, (a) the acceleration is maximum. (b) The velocity is 0. (c) The kinetic energy is 0 and the potential energy is maximum.

#### Simple Pendulum

If a weightless and non-length lanyard hangs around but a heavy particle of material from the lower end of the lanyard and hangs it from a firm base, it is called a simple pendulum.

If the pendulum is slightly displaced from its equilibrium position, then its speed is called the simple pendulum.

The periodicity increases when the length of the chord increases and decreases when decreasing.

The periodicity increases when the pendulum clock is moved above or below the earth plane, that is, the clock becomes sluggish.

When the pendulum is taken a satellite, the periodicity becomes eternal due to weightlessness there, that is, the clock stops.

The period of time also increases as the pendulum increases in , due to which the clock becomes sluggish.

The periodicity also decreases as the pendulum decreases in winter, due to which the clock becomes faster in winter.

Carrying the pendulum clock on the Earth’s satellite moon will increase its periodicity.

#### Accretion Force

When a body is displaced from the equilibrium position, the force applied to it always points towards equilibrium position, this force is known as accretion force.