Simple harmonic motion

Question 1

What are the conditions needed for SHM?

Answer 1

The resultant force and acceleration always acts towards the equilibrium. Also the force is proportional to the negative displacement.

Question 2

When is the max velocity during SHM?

Answer 2

At the equilibrium position when x=0

Question 3

When is the max kinetic and potential energy during SHM?

Answer 3

Max potential at the extremes of motion where Ek = 0 and v=0 and x=A, max kinetic when at equilibrium and so x=0, v=Vmax. Also Ek+Ep = const

Question 4

When does resonance occur?

Answer 4

When the driving frequency matches the natural frequency of the free oscillator the driving force is vibrating. It causes a large amplitude due to matching frequencies.

Question 5

What is damping?

Answer 5

Damping is where the oscillator is restricted in it’s amplitude due to a resistive force causing the amplitude to decrease exponentially over time so follows cos(x)sin(x)e^(-x)