5.68) Maximum P and E of a Rocket
The rocket begins at rest with mass M , ejecting exhaust at speed u. We can use
equation 5.54 to nd the rockets current speed as a function of its remaining
mass m(t)
PHYS 3201
Assignment #8
Spring 2017
Solutions are due by 3:00pm Thursday, March 30th , in the Physics Academic Office, W111 Howey. If you
have to slip them under the office door, please write PHYS 320
PHYS 3201
Assignment #9
Spring 2017
Solutions are due by 3:00pm Thursday, April 6th , in the Physics Academic Office, W111 Howey. If you have
to slip them under the office door, please write PHYS 3201
PHYS 3201
Assignment #7
Spring 2017
r
=
xe + ye
x
y
Solutions are due by 3:00pm Thursday, March 9th , in the Physics Academic Office, W111 Howey.
If you
r
=
x
e
+
y
e
x
y
have to slip them under the o
PHYS 3201
Assi
have
to slip
them under the office door,
PHYS
3201
L 3201
th p
PHYS
3201 PHYShave
Assignment
#10
Sprin
x
3201
Assignment
#10
PHYS
Assignment
#10
Solutions
areslip
due
by
3:00pm
Thursday
PHYS 3201
Assignment #3
Spring 2017
This assignment is due by 3:00pm Thursday, February 2nd . Please deliver your solutions to the Physics
Academic Office, W111 Howey.
1. Reconsider the Soviet WWII pa
PHYS 3201
Assignment #4
Spring 2017
Solutions are due by 3:00pm Thursday, February 9th , in the Physics Academic Office, W111 Howey. If you
have to slip them under the office door, please write PHYS 3
6.25) Spring on a T
We can express the masses position in cartesian coordinates as
x
y
= l cos
= l sin
+
r sin
r cos
where r is the displacement of the mass along the cross-bar, and is the angle t
Triangular Pendulum
dene as the pendulums angle of rotation. We can nd the kinetic energy of the pendulum from its
velocity. Since both masses are moving in polar coordinates at constant radius l, the
7.13) Intersecting Orbits
The two masses will orbit about their common center of mass, with the mass m always twice as far from the
center of mass as the mass 2m.The minimal eccentricity for the two o
8.58) Pendulum Collison
The energy of the stick can be expressed as a sum of the energy of the eective point mass at
the stick center of mass, and the sticks rotational kinteic energy about that point
PHYS 3201 TEST 2
April 14, 2010
1.) Disk in a Bowl
0
0.1
0.2
0.3
R
0.4
0.5
0.6
0.7
0.8
r
0.9
1
1
0.8
0.6
0.4
0.2
0
0.2
0.4
0.6
0.8
1
A disk of mass M , moment of inertia I , and radius r is placed in
1.11) Waves On a String
String has mass m, length l and tension . The speed of wave has dimensions
[v ] =
L
T
while the quantitites listed above have dimensions
[m] = M
[l] = L
[ ] = M L/T 2
So to mat
3.29) Atwoods Three
@
@
'$'$
&%&%
'$
u
m
u
3m
&%
u
2m
6
x+
Dene the positions of the three masses as x1 , x2 , and x3 , with the positive xdirection dened as up in the gure. Summing the forces on each
4.17) Eective Spring Constant
First consider two springs with constants k1 , k2 in parallel. When they are
stretched from their equilibirum length by a distance x, the force is
Fx = k1 x k2 x = ke x
s
5.32) Cart in a Valley
The carts initial potential energy is mgh1 There is no initial kinetic energy
(cart is said to be at rest), so this is the total energy of the cart. As a quantity
m of sand leak
Phys 3201
Quiz #1
Spring 2006
Answer all three problems. Each of the three problems carries equal weight. Please begin each
problem on a fresh sheet of paper. To ensure maximum partial credit, explain
Phys 3201
Quiz #2
Spring 2006
Answer all three problems. Each problem carries equal weight. Please begin
each problem on a fresh sheet of paper. To ensure maximum partial credit,
explain your reasonin
Phys 3201
Quiz #3
Spring 2006
Each problem carries equal weight. Please begin each problem on a fresh sheet
of paper. To ensure maximum partial credit, explain your reasoning whenever
possible. Good l