Mechanics I - PHY3221
Name:
Midterm II Apr. 10, 2015
Show all work to receive full credit
1. (20 pts) A particle of mass m moves in one dimension under the inuence of a force
derived from the potential function
U (x) = U0 ax2 + bx4 ,
where a and b are bot
Mechanics I - PHY3221
Name:
Midterm I Feb. 20, 2015
Show all work to receive full credit
1. (10 pts) Give a clear concise denition of the term inertial reference frame. (One or
two sentences should be enough.)
2. (20 pts) A person of mass mp initially sta
Physics 3221
Mechanics I
Problem Set I
Due: Friday, Jan 16, 2015
1.1 Problem 1.2, Taylor, (Pg. 34).
1.2 Problems 1.4 & 1.5, Taylor, (Pg. 35).
1.3 Problem 1.22, Taylor, (Pg. 37).
1.4 The dot product and ith component of the cross product of two vectors a =
Physics 3221
Mechanics I
Problem Set IV
Due: Friday, Feb 6, 2015
4.1 The following expressions for x(t) and y(t) describe the motion of a projectile near the
surface of the earth in the presence of linear air resistance,
x x0 = vx0 (1 et/ ),
(1)
y y0 = vt
Mechanics I - PHY3221 Name: 6
Midterm I Feb. 20, 2015
Show all work to receive full credit
1. (10 pts) Give a clear concise denition of the term inertial reference frame. (One or
two sentences should be enough.)
Oare/ /ermaevme= 74mm a 4%,2/ %U74V'f
(/L A
Mechanics I - PHY3221 Name: '6
Midterm II w Apr. 10, 2015
Show all work to receive full credit
1. (20 pts) A particle of mass m moves in one dimension under the inuence of a force
derived from the potential function
U(;r:) = U0 022:2 + bmq,
Where a and b
Physics 3221
Mechanics I
Problem Set X
Due: Monday, Apr 6, 2015
10.1 Consider a damped harmonic oscillator for which the equation of motion is
m = kx bx.
x
(a) By taking the time derivative of the total mechanical energy, E = T +U , of the oscillator
and
Physics 3221
Mechanics I
Problem Set IX
Due: Monday, Mar 30, 2015
9.1 Problem 4.41, Taylor (Pg. 158)
9.2 Problem 4.53, Taylor (Pg. 159).
9.3 A small uniform disk of mass m and radius r is held at the top of a circular path of
radius R cut out of a large b
Physics 3221
Mechanics I
Problem Set XI
Due: Wednesday, Apr 22, 2015
11.1 Obtain the Fourier series for the periodic function f (t) with period dened to be,
1,
< t < 0
2
f (t) =
+1,
0<t<
2
in the interval /2 < t < /2. Taking = 2/ = 1 rad/s, calculate and
Physics 3221
Mechanics I
Problem Set III
Due: Friday, Jan 30, 2015
3.1 Problem 1.47, Taylor, (Pg. 40). For Part (c) you may use the fact that the time
derivatives of the unit vectors and in cylindrical coordinates are the same as those for
and in polar c