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

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_kg∗m^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 = –ω ⋅ xm ⋅ S IN(ω ⋅ t + φ )
a = –ω2⋅ xm ⋅ COS (ω ⋅ t + φ )	ω = 2 ⋅ π ⋅ f

542 Equation Reference