Unit 6: Simple Harmonic Motion

Type of periodic motion where the restoring force is directly proportional to the displacement from the equilibrium position and is directed towards it.

The distance of an object from its equilibrium position in Simple Harmonic Motion, given by x = A cos(ωt + φ).

The rate of change of displacement in Simple Harmonic Motion, given by v = -Aω sin(ωt + φ).

The rate of change of velocity in Simple Harmonic Motion, given by a = -Aω^2 cos(ωt + φ).

The total mechanical energy of a system undergoing SHM is constant and is the sum of kinetic and potential energy.

The force exerted by a spring in Simple Harmonic Motion, given by F = -kx, where k is the spring constant and x is the displacement.

The maximum displacement of a particle from its equilibrium position in a wave.

The time it takes for one complete cycle of a wave to occur, denoted by T and measured in seconds (s).

The number of complete cycles of a wave that occur in one second, denoted by f and measured in Hertz (Hz).

T=2π√(L/g)

T=2π√(m/k)

E = ½kA²

K = ½mv²

U = ½kx²

At the equilibrium position.

At the extreme positions.

Sinusoidal curve.

Denoted as “k”. It tells us how strong the spring is, with a greater k being a stiffer spring.

Inversely related. For example, T = 1/f.

The intensity and energy level of the object.