Balajadia, Hilario
PHYS310 Fall 2014
Homework Set #7
10.12
A triangular prism (like a box of Toblerone) of mass
triangles parallel to the xy
aiong the
z
M , whose two ends are equilateral
plane with side 2 a , is centered on the origin with its axis
axis.

Balajadia, Hilario
PHYS310 Fall 2014
Homework Set #6
8.12
(a) By examining the effective potential energy (8.32) find the radius at which a planet (or
comet) with angular momentum l
[Look at
can orbit the sun in a circular orbit with fixed radius.
d U eff

Balajadia, Hilario
PHYS310 Fall 2014
4.6
For a system of
N
Homework Set #3
particles subject to a uniform gravitational field
g acting vertically
down, prove that the total gravitational potential energy is the same as if all the mass were
concentrated at

Balajadia, Hilario
PHYS310 Fall 2014
Homework Set #4
7.14
Figure 7.12 shows a crude model of a yoyo. A massless string is suspended vertically from a
fixed point and the other end is wrapped several times around a uniform cylinder of mass
m and radius R .

Balajadia, Hilario
PHYS310 Fall 2014
Homework Set #5
13.19
In Example 13.3 (page 531) we saw that if we write the Hamiltonian for a two-dimensional
central force problem in terms of polar coordinates r
and , then the coordinate
is
ignorable. Write down t

Balajadia, Hilario
PHYS310 Fall 2014
Homework Set #1
15.6
When he returns his Hertz rent-a-rocket after one week's cruising in the galaxy, Spock is shocked to be billed
for three weeks' rental. Assuming that he traveled straight out and then straight back

Balajadia, Hilario
PHYS310 Fall 2014
Homework Set #2
2.7
There are certain simple one-dimensional problems where the equation of motion (Newton's
second law) can always be solved, or at least reduced to the problem of doing an integral.
One of these (whic