P112 Spring 2007
Homework #13
Due: Monday April 30th, 2007 – At lecture
Reading: 13.513.8
Not all concepts will be covered in class – you are responsible
for all material in the reading and in the homework problems.
Warmup Exercises:
(Answer only will be marked)
1.
A 0.150kg toy is undergoing SHM on the end of a
horizontal spring with force constant k = 300 N/m.
When the object is 0.0120 m from the equilibrium
position, it is observed to have a speed of 0.300 m/s.
What is
a) the total energy of the object at any point of its
motion?
b) the amplitude of the motion?
c) the maximum speed attained by the object during
the motion?
2.
See Fig. 13.33 in your textbook. A block of mass
M rests on a frictionless surface and is connected to a
horizontal spring of force constant k. The other end of
the spring is attached to the wall. A second block
with mass m rests on top of the first block. The
coefficient of static friction between the blocks is
μ
s
.
Find the maximum amplitude of oscillation such that
the top block will not slip on the bottom block.
Mathematics Exercises:
3.
For each of the graphs below, write the function
x(t) as x(t)=cos(t s
1
+
φ
) m, where
φ
is the “initial
phase” of the oscillation.
Instructions:
You only need to hand in problems in boxes. Please
show all of your work – except for “warmup exercises,” correct
answers without full solutions will not receive full marks. You will
have points deducted for missing/incorrect units, and writing false
statements. You will also loose points for excessive messiness.
Please include your name, your TA’s name, and your recitation
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 Spring '07
 LECLAIR,A
 mechanics, Simple Harmonic Motion, Work, TA, recitation section number

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