Physics 105: Mechanics
Fall 2009
Homework 11
Due Friday 12/4
Read sections 10.710.8, 11.111.3 in the text. Do the following problems.
1. Do 10.P.41. Omit part (f). For parts (b) and (e), do the algebra to ﬁnd the ratio
K
f
/K
i
.
2. Do 10.P.42.
3. Do 10.P.44.
4. Do 10.P.49.
5. Do 10.P.56.
6. In this problem, you will calculate the moment of inertia of a uniform rod of mass
M
and length
l
about an axis that is perpendicular to the rod, going through a point at the end of the rod.
x = 0
x = l
x
i
i
x
+
x
Δ
(a) Consider a small segment of length Δ
x
, located a distance
x
i
from the axis. What is the mass
of this segment?
(b) What is the contribution of this segment to the moment of inertia of the rod?
(c) Taking the limit where Δ
x
is very small, add up the contributions of all the segments in the
rod to determine the moment of inertia.
7. A uniform rod of length
l
and mass
M
hangs from a lowfriction axle. A bullet of mass
m
traveling
at speed
v
0
strikes near the bottom of the rod and becomes lodged there. (See diagram for problem
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 Fall '09
 Lou
 mechanics, Atom, Angular Momentum, Momentum, Work, Electric charge, Fundamental physics concepts, rod

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