Aero 310-500. Quiz 4. 100 points. 04/06/2011
1, Find the natural frequency of oscillation n for this system (the pulley has mass m). (50 pts)
2, Plot a representative displacement vs. time (x vs. t) plot for
a, = n / 2 , (10 pts)
b, = n .
Aero 310-500. Quiz 2. 10 points. 2/23/11
1. (3 points) What is the radius of gyration?
2. (7 points) Model a bat as a uniform bar, freely
pivoted at (where you would be holding the bat). A
is applied a distance from . Examine the
Aero 310-500. Quiz 5. 10 points. 4/21/11 NAME:
1. The figure shows a linear spring pendulum. The unstretched
length of the spring is 0 and its stiffness constant is k; the
mass of the bob is m. Write down the equations of motion.
2. Using Lagranges form
Aero 310-500. Quiz 3. 10 points. 3/11/11
1. A square plate of side
is rotating around a
with constant angular velocity
which, at a given instant is
What are the forces and moments acting on the
body at for this instant? Express your
Problem 6 Solution.
= 20 + (
= 17.1 is large angle, the duration
computation should be utilized.
The equation for motion of m:
This is a nonlinear differential equation.
can not be used here. Numerical