SHM

How do you convert frequency to revolutions per minute?

multiply by 60.

how to convert rpm to rad s^-1 ?

times by 2pi and divide by 60

What is resonance?

where a vibrating system's amplitude significantly increases when it is driven by forced vibrations with frequency equal to its natural frequency.

For an object on a swing, describe the movement of one full oscillation that takes time T. (assume it starts from max displacement)

At T=0, the object is at its highest point. It then swings all the way to max negative displacement at time T=0.5 Then it will swing all the way back to positive displacement at T=1.

Where should the fiducial marker be placed for a rocking pendulum and why?

At equilibrium because that is where the pendulum is moving the quickest.

What is the gradient of a graph for T² against length for a simple pendulum system?

4pi² divided by the acceleration due to gravity

What is the gradient of a graph for T² against mass for a mass-spring system?

4pi² divided by spring constant.

What is light damping?

The amplitude of vibrations decrease exponentially as the object oscillates. The frequency of oscillations remain the same.

What is critical damping?

The oscillating object will return to equilibrium from max displacement in the shortest possible time without oscillating. On a graph, the line for displacement does not pass 0.

What is heavy damping?

The oscillating object takes a long time to return to equilibrium from max displacement without oscillating. On a graph, displacement does not pass 0.