Physics 263: Problem Set #5
These problems are due at the end of the day on Monday, May 4.
1. Morin 11.39 (Twice simultaneous) p. 558
2. Morin 12.30 (Maximum mass) p. 617
3. Morin 12.34 (Maximum energy) p. 617
4. Morin 4.17 (Eective spring constant) p. 12
Physics 263: Problem Set #3
These problems are due at the end of the day on Monday, April 18. For the problem marked
DOUBLE, please do your best job of explaining the logic in words as you write down equations. Ill instruct the graders to score that with
Physics 263: Practice for Midterm
1. (Literally a GRE questionchoose a letter, but also add a word or two of explanation.)
In an inertial frame S, two events occur on the x-axis seperated in time by t and in
space by x. In another inertial frame S , movin
DOES THE INERTIA OF A BODY DEPEND UPON ITS ENERGY-CONTENT?
By A. EINSTEIN September 27, 1905
The results of the previous investigation lead to a very interesting conclusion, which is here to be deduced. I based that investigation on the Maxwell-Hertz equa
ON THE ELECTRODYNAMICS OF MOVING
BODIES
By A. EINSTEIN
June 30, 1905
It is known that Maxwells electrodynamicsas usually understood at the
present timewhen applied to moving bodies, leads to asymmetries which do
not appear to be inherent in the phenomena.
Morin 4.23 - Corrections to the Pendulum
The simple pendulum satisfies the nonlinear differential equation
In[3]:=
Out[3]=
't 0 ^2 Sint
t 02 Sint
We will agree to launch this pendulum at rest from its maximum angle a (also known as q0), and we seek the
L&;2 M ldteflN' Z Dt I
\ fh~
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c ~tr'O j'\ .e.veY"+ t ht. otl~iV'l l f k
reS+- .ffl;tY't'\.e. ) :~ ~. l~ "'~ c4t11 H.e ff'
dee,-~ ev'tv1 f l'S (6i. QJ) ~ (~i, ) 0 )
1
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:r~ S "~ ofitr- ir-t:'~ e ,tj , $'3 \'f'.
Physics 263: Problem Set #10
These problems are due on Monday June 6.
0. Unassigned homework: go over old homework problems and solutions. Key math techniques youll want: expansion in Taylor series, Fourier series, various integration techniques (parts, p
Physics 263: Problem Set #2
These problems are due at the end of the day on Monday, April 11.
1. Shankar, problem 1.6.4, pg. 26. Lets restate part of the problem this way: given that
v/c ranges from 1 to 1, lets dene by v/c = tanh(). Then youll want to ob
Physics 263: Problem Set #4
These problems are due at the end of the day on Monday, April 25.
1. Morin 11.59 (Passing a train) p. 563
2. Morin 12.7 (Compton scattering) p. 612
3. Morin 12.9 (Relativistic Harmonic Oscillator) p. 612 (Please include a plot
Physics 263: Problem Set #6
These problems are due at the end of the day on Tuesday, May 10.
1. Morin 11.60 (Passing trains) p. 563
2. Morin 12.29 (Decay in to photons) p. 617
3. Morin 4.19 (Removing a spring) p. 123
4. Morin 4.28 (Ratio of maxima) p. 125
Physics 263: Problem Set #7
These problems are due at the end of the day on Monday, May 16
1. Shankar, problem 8.4.5 pg. 222.
2. Shankar, problem 9.5.2 pg. 259.
3. Shankar, problem 9.5.3 pg. 260. (rst 3 matrices only)
4. Shankar, problem 9.6.1 pg. 272.
5.
Physics 263: Problem Set #8
These problems are due at the end of the day on Monday, May 23.
1. Morin 4.11 (Driven mass on a circle) p. 122
2. Morin 4.35 (Coupled and driven) p. 126
3. Shankar, problem 9.6.4 pg. 276.
4. Shankar, problem 9.6.6 pg. 276.
5. S
Physics 263: Problem Set #9
These problems are due at the end of the day on Tuesday, May 31.
1. Shankar, problem 9.7.8 pg. 286. (More Fourier series)
2. Shankar, problem 9.7.13 pg. 291 (Your challenge: explain the answer in the back)
3. Shankar, problem 6