Homework 4 Solutions
1. (from publishers solution for Marion and Thornton)
PS321
2. (from publishers solution for Marion and Thornton)
3. (from publishers solution for Marion and Thornton)
4. (from publishers solution for Marion and Thornton)
5. (from pub
Homework 8
1. (From publishers official solutions)
PS321
2. (From publishers official solutions)
3. The publishers solution is the following:
Obviously, the discussion does not cover the type of motion you observe with the default accuracy
settings for od
Homework 10 Solutions
PS321
Problem 1
The amplitude response obtained is shown in the figure below where it is compared to the amplitude
response of the equivalent linearized pendulum.
The code used to produce the nonlinear pendulum response is shown belo
Homework 11 Solutions
1. (from Marion and Thornton)
PS321
2. (from Marion and Thornton)
3.
a. (from Marion and Thornton)
b. Several trajectories are shown below. The Matlab code used follows.
Main Script:
[t q]=ode45('springpendulum',[0 20],[0.31 0 .125*p
Homework 6 Solutions
1. (from publishers solution for Marion and Thornton)
PS321
2. (from publishers solutions for Marion and Thornton)
3. (from publishers solutions for Marion and Thornton)
4. (from publishers solutions for Marion and Thornton)
Homework 5 Solutions (contd)
2.
PS321
a. Generalizing the proposed solution xt x0 cos t to the complex plane
xt zt z0 e it
(1a)
where the complex amplitude z 0 includes the phase , i.e.
z 0 x0 e i .
(1b)
Substituting the proposed solution (Eq. 1a) into th
Homework 1
PS321
1. Find parametric equations ( ) , ( ) for the trajectory of a particle in a gravitational
field ( )
, launched from the origin at an angle w.r.t the horizontal and with initial
speed . Assume the -axis lies along the ground and so the tr
Homework 12
PS321
1. (An example problem in Fowles and Cassiday)
Equation of constraint is
Lagranges Equations are then
Solving these together with the constraint equation gives
Which leads to the forces of constraint
is the upwards force on the rim of th