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
16
Q
speed of sound waves in air v =
A
√b/ρ
17
Q
Newton’s formula V =
A
√P/ρ
18
Q
Laplace correction V =
A
√γP/ρ γ = Cp/Cv
19
Q
Speed increases when humidity
A
increases
20
Q
Energy density u =
A
1/2 ω^2A^2
21
Q
Intensity I =
A
uV
22
Q
Beat freq f(B) =
A
|f1-f2|
23
Q
Fundamental node, L =
A
λ/2
24
Q
Fundamental node f(o) =
A
V/2L
25
Open organ pipe, f(n) =
nf(o)
f(o) = V/2L
26
In open organ pipe _______ harmonics are present
All odd & even
27
Closed organ pipe, f(n) =
(2n-1)f(o) f(o) = V/4L
28
In closed organ pipes, ____ harmonics are present
odd
29
Resonance tube fn =
nV/4(Ln + e)
