Oscillations Flashcards
1
Q
ω =
A
√k/m
2
Q
a is max at
A
extreme pos
3
Q
a is min at
A
mean pos
4
Q
F =
A
-mω^2 x
5
Q
PE =
A
1/2mω^2 x^2
6
Q
KE =
A
1/2k(A^2 - x^2)
7
Q
TE
A
1/2mω^2 A^2
8
Q
At eq. pos x(o) =
A
mg/k
9
Q
If obj is acc, T =
A
2pi√l/g+a
10
Q
If obj is decell T =
A
2pi√l/g-a
11
Q
If obj is acc in same direction, T =
A
2pi√l/√(g^2+a^2)
12
Q
Damping oscillations
A
x(t) = A(o)/e^γt sin(ωt + θ)
13
Q
ω for damping oscillations
A
√[k/m - b^2/4m^2]
14
Q
Forced oscillator
A
x(t) = Asin(w(α)t + θ)
A = F(o)/m√[ω(o) - ω(α)^2] + (bω(α)/m)^2
15
Q
Speed of transverse on string V =
A
√T/μ μ = mass/len
