Mass-Spring System (10, 1)

Equations:

k

2

⋅ π

ω = 2 ⋅ π ⋅ f

ω = ----

T = ----------

m

 

ω

 

Example:

Given: k=20_N/m, m=5_kg.

Solution: ω=2_r/s. T=3.1416_s, f=.3183_Hz.

Simple Pendulum (10, 2)

Equations:

ω

g

2

⋅ π

ω = 2 ⋅ π ⋅ f

= ---

T = ----------

 

L

 

ω

 

Example:

Given: L=15_cm.

Solution: ω=8.0856_r/s. T= 0.7771_s, f=1.2869_Hz.

Equation Reference 5-41