Week 1 Simple Harmonic Motion

Question 1

what is periodic

Answer 1

time function of displacement

Question 2

what is the general form of the time function of displacement

Answer 2

x(t) = A cos(ωt)

Question 3

what is Hookes Law and what does it give us

Answer 3

F = -kx ==> ma = -kx

It gives us the restoring force that makes the block return to eqm position

Question 4

what is the governing equation that must be satisfied for SHM to hold

Answer 4

ω^2 = k/m

Question 5

what is the general SHM equation and what does it tell us

Answer 5

a = -ω^2x

acceleration is proportional to negative displacement

Question 6

what is the general phase related equation for SHM

Answer 6

x(t) = Acos(ωt + Φ)

Question 7

what is the total energy for SHM equation

Answer 7

E = KE + EPE = 1/2mv^2 + 1/2kx^2

Question 8

what is true of total energy for SHM

Answer 8

total energy is proportional to the square of the amplitude of oscillations

Question 9

what is the equation of motion for a simple pendulum

Answer 9

θ = -g/L sinθ

Question 10

what is the equation of motion for a floating object per the Archimedes principle

Answer 10

ma = -ρAxg