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# Oscillations

Periodic motion – time period, frequency, displacement as a function of time, periodic functions.
Simple harmonic motion (S.H.M) and its equation; phase; oscillations of a loaded springrestoring force and force constant; energy in S.H.M. Kinetic and potential energies; simple
pendulum derivation of expression for its time period.
Free, forced and damped oscillations (qualitative ideas only), resonance.

### Resonance

Resonance If an external force with angular frequency ωd acts on an oscillating system with natural angular frequency ω, the system oscillates with angular frequency...

### Free Oscillations or Undamped oscillations

Free Oscillations or Undamped oscillations If a body, capable of oscillation, is slightly displaced from its position of equilibrium and left to itself, it starts...

### The Simple Pendulum

The Simple Pendulum An ideal simple pendulum consists of a point-mass suspended by a flexible, inelastic and weightless string from a rigid support of infinite...

### Oscillations Due to a Spring

Oscillations due to a spring: The simplest observable example of simple harmonic motion is the small oscillations of a block of mass m fixed to...

### Force Law for Simple Harmonic Motion

Force Law for Simple Harmonic Motion The force acting simple harmonic motion is proportional to the displacement and is always directed towards the centre of...

### Simple Harmonic Motion

Simple harmonic motion In simple harmonic motion (SHM), the displacement x(t) of a particle from its equilibrium position is given by, A term that means the...

### Periodic Motion, Oscillations, Period & Frequency

Periodic Motion A motion that repeats itself at regular intervals of time is called periodic motion. Note that both the curved parts in Fig (c) are...