Oscillations

Question 1

Hooke’s Law

Answer 1

The tension in a stretched spring is proportional to extension, x:
T=kx
where k is stiffness.

Question 2

Modulus of elasticity and relationship between stiffness and natural length.

Answer 2

k = λ/L

λ is the modulus of elasticity, measured in Newtons.

Question 3

Elastic Potential Energy

Answer 3

1/2 k x^2

Question 4

In the equation of motion:
x(..) + w^2 x(.) = Dw^2 sin(σt)
what is the natural frequency, forcing frequency and forcing amplitude?

Answer 4

natural frequency = w
forcing frequency = σ
forcing amplitude = D

Question 5

time period of simple harmonic motion

Answer 5

2 pi / w