MASSACHUSETTS INSTITUTE OF TECHNOLOGY

DEPARTMENT OF OCEAN ENGINEERING

DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING

13.013J/1.053J Dynamics and Vibration

Fall 2001

Problem Set 8

Assigned: Oct 24, 2001

Due: Oct 31, 11am , 2001

(a) Problem 6.7

(b) Problem 6.8

(c) Problem 6.15

(d) Problem 6.45

(e) Problem 6.54

(f) Problem 6.82

Several of these problems involve derivation of the linearized (small motion) equation of motion. If they ask you to derive the nonlinear equations of motion, also provide their linearized form. From these linearized equations, perform a stability analysis around the static equilibrium positions as in PS7.