SHO Flashcards
(7 cards)
1
Q
Derivation of SHO equation and angular frequency
A
From hooves law and f=ma make a into second derivative of x and equal 0.
Omega= root k/m
2
Q
Complex solution to SHO and phasor equation
Phase term
A
Ae^[i(omega t + phi)] = z(t)
Phase term = wt+ phi
3
Q
Phasor plotted on argand diagram
A
x(t)= Re[z(t)] angle is phi radius is A, makes circle
4
Q
How to find velocity and acceleration from SHO solution
A
Differentiate trig solution,
5
Q
Frequency equations
A
f=1/T and omega=2pi f
6
Q
Periodic function definition
A
x(t+Nat)=x(t)
Function repeats every T, sinosuidal
7
Q
Quadriture phase difference and anti-phase
A
Phase difference is pi/2
Anti phase: pi
