IPE: Simple Harmonic Motion and Oscillations

These flashcards cover key concepts related to Simple Harmonic Motion (SHM), including definitions, formulas, and principles of oscillations.

Simple Harmonic Motion (SHM)

A motion that is periodic and to and fro about a fixed point, where acceleration is directed towards the mean position.

Uniform Circular Motion

Motion in which a particle moves at a constant speed along a circular path.

Oscillation

A repetitive variation, typically in time, of some measure around a central value.

Kinetic Energy (K.E.) in SHM

Given by the expression K.E = (1/2)mω²(A² - x²), where m is mass, A is amplitude, and x is displacement.

Potential Energy (P.E.) in SHM

Given by the expression P.E = (1/2)mω²x², where m is mass and x is displacement.

Total Energy in SHM

The total energy of a simple harmonic oscillator remains constant and is given by E = (1/2)mω²A².

Seconds Pendulum

A pendulum whose time period is two seconds.

Restoring Force

The force that acts to bring a system back to its equilibrium position.

Time Period of Simple Pendulum

Given by T = 2π√(l/g), where l is the length of the pendulum and g is acceleration due to gravity.

Projection of Uniform Circular Motion

The motion of the projection of a point in uniform circular motion onto a diameter, which is simple harmonic.