Define Periodic Motion

Name the Force that acts to reduce displacement of an object and return the system to equilibrium.

SHM occurs when...

A general rule for SHM is:

Name two assumptions:

When an object is displaced, the spring exerts a ...... ...... equal to ....

What's the differential equation for simple harmonic motion?
What's its general solution?

Quantities: Period (T)
Frequency (f)
Angular Frequency (w)

Differentiating the general solution:
x=Acos(wt+d) gives: v=... and a=...

Phase difference of Velocity and Displacement

Velocity is maximum when...

Velocity is 0 when...

The frequency and period are related to the stiffness (k) of the spring and the particle mass; where w= sqrt(k/m)

When is the spring constant not constant?

What's the equation for the vertical displacement in equilibrium when a mass is attached to a spring?

y' for vertical oscillations is the...

Eqm Position: y.=mg/k
Hence, mg-ky.=0
Write the equation for vertical oscillations: