Phys 244 - Assignment 2
1. [5 marks] Taylor 2.4
2. [5 marks] Taylor 2.11
3. [5 marks] Taylor 2.40 (Make sure to discuss the t behavior.)
4. [5 marks] Taylor 2.41 modified slightly
A baseball is thrown vertically upward with a speed of v0 and is subject to
Phys 244 - Assignment 7
etrization of a cycloid, which is the path taken by a
f a rolling wheel.
1. [5 marks] A rigid T consists of a long rod glued perpendicular to another rod of length l that is pivoted about the
origin. The T rotates around in a horiz
Assignment 2
2.1 The coordinate of a harmonic oscillator is given by
x(t) = A cos(t) + B sin(t)
where A and B are some constants. What is the amplitude of the oscillations?
(10 points)
2.2 The force acting on an object of the mass m is
(a) F (x) = F0 (1 e
Assignment 1
1.1 A baseball player throws a ball from the bottom of a pit of depth h with
a given sufficiently large initial speed v0 . At what inclination angle should
the ball be thrown so that it travels the maximum horizontal distance by the
time it h
Mathematical and Physical Preliminaries
Space and Time
r = ( x, y, z ) = x i + y + z k = ri ei
j
Cartesian Coordinates
i
Vector Operations
a = ( a x , a y , az ) = a x i + a y + az k
j
b = (bx , by , bz ) = bx i + by + bz k
j
Addition
Scalar Multiplicatio
W. Rozmus, Department o f Physics,
PHYS 244; Midterm Examination
Friday, February 12,2010, 13:00- 13:50
Y our Name and Student ID:
Please choose one answer by encircling its label. Your choice must be unambiguous!
1. Work-Energy theorem
(a) states that a
FILE
W. Rozmus, Department o f Physics,
PHYS 244, Final Examination
Friday, April 23, 2010, 14:00- 17:00
Your Name and Student ID:
Please choose one answer by encircling its label. Your choice must be unambiguous!
1. A massless string is suspended vertic
dp
Fnet = Fext = ma =
dt
Phys 244 Final Exam Formula Sheet
dv
Fr = m( r 2 ) Ft = mat = m dt
r
+ 2 r ) F = ma = mv 2
F = m(r
n
n
r
p mv
t
P = Fext , i dt J net
t0
(I.M.T.)
i
vB 2 n vA 2 n
e=
v A1 n v B1 n
Macm = mi ai = Fext , i = Fext ,sys
i
Fext ,sy
Two-Body Central Force Problems
Statement of the Problem and the Key Applications
The Generalized Coordinates: CM and relative position coordinates
The Equations of Motion
6 Coordinates
The Center of Mass frame
3 Coordinates
Conservation of Angular Moment