Math 151, Workshop 9 1. A square and a circle are placed so that the circle is outside the square and tangent to a side of the square. The sum of the length of one side of the square and the circle's diameter is 12 feet, as shown. Suppose the length of on
Physics 124, Spring 2011
Lecture 1 Summary
= I = xF r
v = r with vectors : = x v r dL L = I = xp r = dt 1 1 2 2 E = I cm m v cm 2 2
2 For reference: proof of parallel axis theorem: Iq = Icm + m"r "
Icm = i mi i = i mi xi y i r
2 2 2
2
For convenience ,
Important Dates:
Post Test: Dec. 8 10 during recitations. If you have taken the
post test, dont come to recitation!
Post Test Make-Up Sessions in ARC 103: Sat Dec. 6, 10 AM
noon, and Sun Dec. 7, 8 PM 10 PM.
Post Survey Deadline: Friday Dec. 12, 11:59 PM.
Todays topic:
IMPULSE AND MOMENTUM CONSERVATION
Review of Last Weeks Lecture
Elastic Potential Energy:
x: displacement
from equilibrium
x = 0: equilibrium position
Work-Energy Theorem:
Wtot Wg Wel Wnoncons K K 2 K1
Wnoncons ( K 2 U g 2 U el2 ) ( K1 U g1
CENTEROFMASSMOTION &ROTATIONAL
KINEMATICS
Diagnostic Post Test
REVIEW OF LAST LECTURE:
p
MOMENTUM:
No lecture, no quiz, no minilabs, no homework next
week.
But: Mandatory Post-Test!
Pre-test, pre-survey, post-test, post-survey count 2
points toward your
Scary:
Second midterm exam coming up Sunday Nov. 9.
New material (Chapters 5.1 5.4, 3.4, 1.10, 6, 7.1)
more difficult than first midterm!
Bring calculator and formula sheet.
To prepare, attend this weeks review session
(workshop), and go to any instru
ELASTICPOTENTIALENERGYAND
ENERGYCONSERVATION
Review of last lecture
Work done by varying force. curved path:
Reminder: Exam this Sunday Nov. 9.
Chapters 5.1 5.4, 3.4, 1.10, 6, 7.1
F ds
Fx
kx
W
Look up locations online.
If you have a conflict, you sho
Scary:
Second midterm exam coming up Sunday Nov. 9.
New material (Chapters 5.1 5.4, 3.4, 1.10, 6, 7.1)
more difficult than first midterm!
Bring calculator and formula sheet.
To prepare, attend this weeks review session
(workshop), and go to any instru
Reminder: Exam this Sunday Nov. 9.
Chapters 5.1 5.4, 3.4, 1.10, 6, 7.1
Time: 6:10 7:30 PM
Look up locations online.
Bring calculator and formula sheet.
If you have a conflict, you should have already
requested and received permission from Prof.
Shap
Work&KineticEnergy
Review of Previous Lecture
Fluid resistance, terminal speed v
at high speed
f Dv2
Newpolicyforworkshops
f
Youareexpectedtoprint,read,andthinkabout
theworkshopmaterialpriortocomingtoclass.
(Thispartofthepolicyisnotnew!)
v
Therewillbeapr
CircularMotionandCircularDynamics
i-Clicker
ReviewofPreviousLecture:
NewtonsFirstLaw:
0
F
F3
(v
const.; v
0)
0;
F
i yi
0
max ;
F
i yi
may
F
i xi
F1
0
a
F2
NewtonsSecondlaw
F
n
T
ma
F
i xi
mg
E.twoormoreoftheaboveforces
ResistiveForce(I):Friction
n
T
f
f
Circular Motion and Circular Dynamics
Review of Previous Lecture:
Newtons First Law:
F 0a 0
F3
(v const.; v 0)
F
F1
F2
Newtons Second law
T
n
0;
F
0
F
may
yi
i
F ma
F
mg
xi
i
i
xi
max ;
i
yi
Resistive Force (I): Friction
n
f
f n
T
f k k n
( f s ) ma
10.
Physics 123 — Analytical Physics
FINAL EXAM
Tuesday Dec. 18, 2012
Profs F. Zimmermann and P. Chandra
St I"
=> 4:
Your name sticker with exam code. SIGN HERE:
The exam will last from 4:00 — 7:00 p.m. Use a #2 pencil to make entries
on the answer shee
Physics 123 - Analytical Physics
FINAL EXAM
Tuesday, December 20, 2011
Professor R.A. Bartynski
9.
10.
a proctor will help you. Also raise your hand during the exam if you
have a question.
Please SIGN the cover sheet under your name sticker and have your
Physics 123 - Analytical Physics
SECOND COMMON HOUR EXAM
Monday, November 7, 2011
Professor R.A. Bartynski
9.
10.
a proctor will help you. Also raise your hand during the exam if you
have a question.
Please SIGN the cover sheet under your name sticker and
Physics 123 - Analytical Physics
FIRST COMMON HOUR EXAM
Monday, October 3, 2011
Professor R.A. Bartynski
9.
10.
Your name sticker with exam code. SIGN HERE:
1.
2.
3.
4.
5.
6.
7.
8.
The exam will last from 9:40 - 11:00 p.m. Use a #2 pencil to make
entries
A particle moving along the wards has a position given by a: = (24t —
2.0733) m, where t (> O) is measured in 3. What is the average velocity
(in m/s) of this particle during the time interval from t = 3 s to t = 5
s?
a) 148
b) —126
on: Mk3 —— 2.0 x27 .1/
10
Physics 123 — Analytical Physics
FINAL EXAM
Tuesday, December 20, 2011
Professor RA. Bartynski 10.
:> 4:
Your name sticker with exam code. SIGN HERE:
The exam will last from 4:00 pm to 7200 p.111. Use_a #2 pencil to
make entries on the answer sheet.
Physics 123 — Analytical Physics
SECOND COMMON HOUR EXAM
Monday, November 7, 2011
Professor RA. Bartynski
3040: 776M
(your name sticker with exam code)
SIGN HERE:
The exam will last from 9:40 — 11:00 pm. Use a #2 pencil to make
entries on the answer she
Physics 123 - Analytical Physics I
Second Midterm Exam
Sunday Nov. 9, 2014
Profs F. Zimmermann and J. Shapiro
9. Please SIGN the cover sheet under your name sticker and have
your student ID ready to show to the proctor during the exam.
10. If needed, the
Physics 123 - Analytical Physics I
First Midterm Exam
Sunday Oct. 12, 2014
Profs F. Zimmermann and J. Shapiro
9. Please SIGN the cover sheet under your name sticker and have
your student ID ready to show to the proctor during the exam.
10. If needed, the
Physics 123 - Minilab 6 NEWTON'S LAWS - II Purpose Determine whether Newton's third law is satisfied when two force probes interact. Introduction Newton's third law says that when two bodies interact, the forces between them are equal in magnitude and opp
Physics 123 - Minilab 7
WORK AND KINETIC ENERGY
Introduction Work is done by a force acting over a distance. According to the work-kinetic energy theorem, the kinetic energy K of an object will change by the amount of work W done on the object. With a con
Physics 123 - Minilab 8 Names: _ _
WORK-ENERGY THEOREM
Goal Compare the change in kinetic energy and the change in potential energy of a system of two masses with the work done by gravity on the system. Introduction The work-energy theorem says that the n