5/5/2016
Book on a Cylinder
Physics 321
Hour 9
Curvilinear Systems and Central Forces
Book on a Cylinder
Book on a Cylinder
=
+
r sin
+ cos
sin
r
(r+b)cos
1
5/5/2016
Book on a Cylinder
Examples
= + 2
Physics 321
Manipulating the 2nd Law
It is often better to turn one 2nd order equation
Into two 1st order equations:
Hour 2
Applying Newtons Laws of Motion
Manipulating the 2nd Law
We can also express
Physics 321
Hour 1
Course Introduction
Course Components
Course Outline
Prerequisites: ODEs, Mathematica
Reading: Due before lecture
HW: Due MWF - see schedule on Learning Suite
Take-home Tests: Due m
4/29/2016
Linear and Angular Relationships
Physics 321
Hour 6
Conservation of Angular Momentum
Angular Momentum in Linear Motion
P
We must
calculate angular
momentum
about a point P.
b
=
=
=
=
=
=
Lorentz Force
Physics 321
Hour 4
Lorentz Force
Lorentz Force
If is a constant, without loss of generality we can
choose = .
=
=
0
or
=
= ,
0
=
=
=
or
,
Mathematica
Lorentz.nb
4/29/2016
Physics 321
Hour 5
Linear Momentum and Its Conservation
Momentum Conservation
In what collisions can you apply momentum
conservation?
Always unless external forces accelerate
masses during
5/5/2016
Central Force
Physics 321
If a vector field is radial and depends only on r, what
is its curl?
1
=
+
+
1
Hour 10
Coordinate Systems and Multiparticle
Systems
Notes on Coordinates
A vecto
Homework Solution 10
Physics 121, Section 1
Due 10/11/07
1. The loaded car of a roller coaster has mass m = 320 kg. It goes over the top of a `hill' with a speed v
of 20 m/s. The radius of curvature R
Homework Solution 9
Physics 121, Section 1
Due 10/9/07
1. A block with a mass of M = 7.65 kg is initially moving up the incline and is increasing speed with
a = 1.44 m/s2 . The applied force F is hori
Homework Solution 8
Physics 121, Section 1
Due 10/4/07
1. A block starts from rest at the top of a d = 2.00-m long, = 38.0 frictionless incline.
(a) What is the acceleration of the block?
Solution: Le
Homework Solution 7
Physics 121, Section 1
Due 10/2/07
1. (a) Why do you fall backward when standing inside a bus which is accelerating from rest?
As the bus accelerates forward, your body tends to fo
Homework Solution 6
Physics 121, Section 1
Due 9/25/07
1. Work out the physics of the Monkey Hunter demonstration we did in class on Tuesday, September 20.
Assume that a projectile is shot from a blow
Homework Solution 5
Physics 121, Section 1
Due 9/20/07
1. What is wrong with the physics in the following statement? The car rounds the turn at a constant
velocity of 50 km/h Rewrite it so that it con
Homework Solution 4
Physics 121, Section 1
Due 9/18/07
1. Joan measures the distance across a straight river by the following method:
Starting directly across the river from a tree on the opposite ban
Homework Solution 3
Physics 121, Section 1
Due 9/13/07
1. Eric slams on the brakes when he sees a tree blocking the road. The
car slows uniformly with an acceleration of -5.12 m/s2 for 3.51 s, making
Homework Solution 2
Physics 121, Section 1
Due 9/11/07
1. Wilma I. Ball walks at a constant speed of 4.83 m/s from home to the pharmacy to pick up her
prescription. She then walks back home along the
Homework Solutions 1
Physics 121, Section 1
Due 9/6/07
In the rst two problems of this solution, I have included the full level of
detail I would expect to see in your solutions. In the nal problem an