Final Test: Physics 3C- Spring 2012
Name_; #ID_
Multiple Choices: 4% each
1. What is the maximum value of the acceleration a when x = A cos ( t + ) ?
a.
b. t
c. 2 A
d. A
e. A
2. A 500 Hz tone is sou
1. Signals
a. Generation and synthesis
b. Basic analysis
i. Frequency domain (fourier transform
ii. Time domain (filter, detrending, event counting
2. Images
a. Basic (types, pixel resolution, interpr
Physics 3B Quiz Student Name:
Discussion (circle one)
_
8am 9am 10am
12pm
1pm 2pm 3pm 4pm 5pm 6pm
PROBLEM: Airplane wings are designed to make air flow faster below the wing than
the air above the win
Physics 3B Quiz Hwk#2
Student Name: _Solution_
ID#: _
Discussion (circle one)
8am 9am 10am 11am
12pm
1pm 2pm 3pm 4pm 5pm 6pm
PROBLEM: Consider a building as if it were a solid cube of concrete, with a
Physics 3B Quiz Hwk#8
Student Name: _Solution_
ID#: _
Discussion (circle one)
8am 9am 10am 11am
12pm
1pm 2pm 3pm 4pm 5pm 6pm
PROBLEM: An electron is moving through a magnetic field. At one point along
Physics 3B Quiz Hwk#7
Student Name: _
ID#: _
Discussion (circle one)
8am 9am 10am 11am
12pm
1pm 2pm 3pm 4pm 5pm 6pm
PROBLEM: A circuit contains a battery connected in series with a 50k resistor, a 5
F
1.
Fluids (8 pts)
3
a. A hot-air balloon is to lift a payload of 175 kg. If the balloons volume is 4500 m and the air outside
the balloon is at STP, to what temperature must the air in the balloon be
Physics 3B Final Exam Formula Sheet
Resistance and Resistivity:
R=
Bernoullis Equation:
+
+
=
+
+
Maxwell-Boltzmann distribution function:
=4
Work done on ideal gas in isothermal process:
=
ln
Physics 3c: Midterm (2:00-3:20 pm, May 1, 2012)
Name_ID_Discussion Setion_
Multiple choices (4 % each):
1. A body oscillates with simple harmonic motion along the x-axis. Its displacement
varies with
Review
Physics 3c for materials a4er the midterm
Chapters 33, 34, 35, 36, 37 and 41.
Some materials not in this le may also appear in the test.
You should also re
Physics 2 Tutorial Week 1
September 28, 2016
1. Nyan the cat can meow at a rate of 20 meows in 5 seconds. If Nyan meows
for 3 minutes and 36 seconds, how many total meows will Nyan the cat have
perfor
Lesson One: Greetings
Part One
(Dialogue I: Exchanging Greetings)
I. Listening Comprehension
A.
( d ) 1.
( b ) 2.
( a ) 3.
B.
( c ) 1.
C.
( d ) 1.
( b ) 2.
III. Reading Comprehension
A.
( T ) 1.
( F )
Solution of a linear first-order ODE (chap6)
On page 42 of the textbook, once we write down the integrating factor I(x) by formula (6.2),
we solve the resulting new ODE (6.3), the solution of (6.3) is
Table 1: Final Exam Table of Laplace Transforms
f (x) = L1 cfw_F (s)
F (s) = Lcfw_f (x)
1
1
s
eax
1
sa
xn , n is positive integer
n!
sn+1
xp , p > 1
(p+1)
,
sp+1
sin(ax)
a
s2 +a2
cos(ax)
s
s2 +a2
eax
c
Yue
Zhang
Final practice problems
1. Solve: y 00 y 0 = 3 + cos x.
ex
2. Solve: y 00 2y 0 + y = 2
.
x +1
3. Solve by using L (Laplace transform):
y 00 y 0 = x + sin x, y(0) = 0, y 0 (0) = 0
4. Solve
c
Yue
Zhang
Brief notes on Chap 11
Goal: Solve L(y) = (x) when (x) has a certain form.
Step 1: Solve the complementary solution yh , this is the solution of L(y) = 0.
Step 2:
P
Case (1): If (x) is an
Math 3D: Differential Equations
Midterm (44520)
Oct 28th, 2016
14:0014:50
Name:
Student Id#:
Discussion Class Time:
Total marks = 50 (per question in brackets)
No calculators or other electronic devic
Math 3D Differential Equations Extra Questions for Midterm Prep
Nothing for submission
1. Three independent solutions are given to the following differential equation. Find the solution
satisfying the
Math 3D Differential Equations Homework Questions 2
Submit the * questions on Thursday of Week 3 (Jan 26th)
15 Find the general solution of the differential equation. If an initial condition is given,
Ch 2.3 and 2.5 Worksheet - Math 3D Feb. 7th
Aaron Chen
Chapter 2.3 - Higher Order Linear ODEs
Summary: Still assume y = erx and solve for r. Now there can be higher multiplicities, where we
multiply b
Math 3D Book Solutions 4
3.3
Linear Systems of ODES
1
2
2 3t
sin t
= P(t)x + f(t) ! = t
x+
e
3
cos t
1 3
1 4t
4 4t
1 4t
1 4t
d
e =
e =4
e = dt
(a)
e
3 1
1
4
1
1
1 3
1
2 2t
1
e2t =
e
= 2
Name
Physics 2
Week 3 Quiz
October 14, 2016
Student ID
Problem 1 (4 points)
You are on the roof of a 10 m tall building. You throw a ball downward from the
rooftop with an initial speed of 1.0 m/s. Th
1. Electric Forces and Fields (8 pts)
a. Positive charges q = +4.00 C are placed at 5 of the 6 corners of a regular hexagon,
as shown. The distance from each corner of the hexagon to the center is 12.