Conical Pendulum (10, 3); Torsional Pendulum (10, 4); Simple Harmonic (10, 5) - HP 48gII Advanced User's Reference Manual

Conical Pendulum (10, 3)

Equations:
g
h
= - - -
h
Example:
Given: L=25_cm, h=20_cm.
Solution: =36.899_°, T= 0.8973_s, =7.0024 r/s, f=1.1145_Hz.

Torsional Pendulum (10, 4)

Equations:
G J
w = - - - - - - - - - - -
L I
Example:
Given: G=1000_kPa, J=17_mm^4, L=26_cm, I=50_kg m^2.
Solution:
=1.1435E°–3_r/s, f=1.8200E–4_Hz, T=5494.4862_s.

Simple Harmonic (10, 5)

Equations:
x = x m C O S t +
2
a = – x m C O S
5-42 Equation Reference
2
= L C O S ----------
T =
= 2 f
2
T = - - - - - - - - - -
=
v = – xm SIN
=
t +
2 f
t +
2 f