Conical Pendulum (10, 3)

Equations:

ω =

g

h = L COS (θ )

T =

2 ⋅ π

 

h

 

 

ω

 

 

ω = 2 ⋅ π ⋅ f

 

 

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:

w =

G J

T =

2 ⋅ π

ω = 2 ⋅ π ⋅ f

 

L I

 

ω

 

Example:

Given: G=1000_kPa, J=17_mm^4, L=26_cm, I=50_kgm^2.

Solution: ω=1.1435E°–3_r/s, f=1.8200E–4_Hz, T=5494.4862_s.

Simple Harmonic (10, 5)

Equations:

x = xm COS( ω ⋅ t + φ)

v = ωxm S IN(ω ⋅ t + φ )

a = ω2xm COS (ω ⋅ t + φ )

ω = 2 ⋅ π ⋅ f

542 Equation Reference

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Image 478
HP 50g Graphing, 48gII Graphing manual Conical Pendulum 10, Torsional Pendulum 10, Simple Harmonic 10