Sample Midterm 2
1.
(33 points) A bullet of mass
m
is Fred with a speed of
v
b
at the center of a rod
of mass
M
= 3
m
and length
L
The trajectory of the bullet makes an angle of
θ
with
the horizontal. The rod hangs vertically from a pivot attached to the ceiling, and is
at rest before the collision. The bullet becomes embedded in the rod after impact.
What is the angular velocity of the rod after the collision? The moment of inertia of
the rod for rotations about the pivot is
1
3
ML
2
.
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A stunt man wants to swing on a rope across a chasm in a cave, starting from a
position where the rope is horizontal as shown. He has tested the rope, and he knows
it can hold exactly twice his weight before it breaks.
(a)
(23 points) Draw a force diagram for the stunt man at an arbitrary position
θ
in
his swing, assuming that the rope does not break. Use this to Fnd an expression for
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 Fall '10
 MarkusLuty
 Physics, Force, Mass, 2m, 30◦, stunt man

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