Reference Guide

5-42 Equation Reference
Conical Pendulum (10, 3)
Equations:
Example:
Given: L=25_cm, h=20_cm.
Solution: θ =36.899_°, T= 0.8973_s, ω =7.0024 r/s, f=1.1145_Hz.
Torsional Pendulum (10, 4)
Equations:
Example:
Given: G=1000_kPa, J=17_mm^4, L=26_cm, I=50_kg ∗ m^2.
Solution: ω =1.1435E°–3_r/s, f=1.8200E–4_Hz, T=5494.4862_s.
Simple Harmonic (10, 5)
Equations:
ω
g
h
-
-
-
=
h
L
C
O
S
θ
(
)
⋅
=
T
2
π
⋅
ω
-
-
-
-
-
-
-
-
-
-
=
ω
2
π
f
⋅
⋅
=
w
G
J
⋅
L
I
⋅
-
-
-
-
-
-
-
-
-
-
-
=
T
2
π
⋅
ω
-
-
-
-
-
-
-
-
-
-
=
ω
2
π
f
⋅
⋅
=
x
x
m
C
O
S
ω
t
⋅
φ
+
( )
⋅
=
v
ω
–
x
m
S
I
N
ω
t
⋅
φ
+
(
)
⋅
⋅
=
a
ω
2
–
x
m
C
O
S
ω
t
⋅
φ
+
( )
⋅
⋅
=
ω
2
π
f
⋅
⋅
=