CEE 502 Problem Set 2 Winter 2008
(Due 5:00 PM, Friday, January 26th, in 233 More)
Reading: Chopra Chapter 2.
1. For the four systems studied in Problem Set 1, determine the natural period of
vibration for small deflections.
2. A thin uniform rod having mass, m, and length, L, is supported in the horizontal
position with aid of two strings. Determine the force in String 2 immediately after String
1 is cut in terms of m, g, L and a.
3. Solve Chopra Problem 2.5.
4. The linear SDOF oscillator shown is given an initial displacement of 0.1 ft. and then
released. Neglect gravity.
a) What is the value of the damping coefficient, c?
b) Calculate the response of the system for three full cycles.
b) Neatly plot (Matlab, Spreadsheet,…….) the response of the system for three full
cycles.
,
m = 5 lb-sec
2
/ft
k = 4000 lb/ft
ζ = 0.05
L
a
g
m
String 2
String 1