P112 Spring 2007
Homework #4
Due: Friday Feb 16th, 2007 – At lecture
Reading: 4.34.6, 5.1, 5.2
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 Ferris wheel with radius 14.0 m, which rotates
counterclockwise, is just starting up. At a given
instant, a passenger on the rim of the wheel and
passing through the lowest point of his circular
motion is moving at 3.00 m/s and is gaining speed at
a rate of 0.500 m/s
2
.
a) Find the magnitude and the direction of the
passenger’s acceleration at this instant.
b) sketch the Ferris wheel and the passenger showing
his velocity and acceleration vectors.
2.
A large box containing your new computer sits on
the bed of your pickup truck. You are stopped at a red
light. The light turns green and you step on the gas
and the truck accelerates.
To your horror the box
starts to slide towards the back of the truck. Draw two
separate clearly labeled freebody diagrams for the
truck and for the box.
Use the conventions
introduced in class.
Indicate pairs of forces, if any,
that are thirdlaw pairs.
Mathematics Exercises:
3
. What is the Taylor expansion of
F
(
x
)
=
GMm
x
2
about x=x
0
, to linear order?
4.
Find all values of x for which
2
x
2
−
4
x
=
3
. Show
your work.
Estimation:
(Marked based solely on logic)
5.
According to Newton's law of universal
gravitation, the earth's gravity gets weaker as we go
further from the earth. Estimate how much the theory
predicts for the difference between g on the bottom
and the top of Mount Everest.
Problems:
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 Spring '07
 LECLAIR,A
 mechanics, Acceleration, Force, Work, recitation section number, horizontal acceleration ax

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