yindeemark (rry82) – Homework 12 – chelikowsky – (59005)
1
This
printout
should
have
18
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
001
10.0 points
Assume:
A bullet of mass
m
and cube of
mass
M
undergo an inelastic collision, where
m
≪
M
.
Note:
The moment of inertia of this cube
(with edges of length 2
a
and mass
M
) about
an axis along one of its edges is
8
M a
2
3
.
A solid cube is resting on a horizontal sur
face. The cube is constrained to rotate about
an axis at its bottom right edge (due to a
small obstacle on the table).
A bullet with
speed
v
min
is shot at the lefthand face at a
height of
4
3
a
.
The bullet gets embedded in
the cube.
2
a
M
mvectorv
min
4
3
a
ω
M g
Find the minimum value of
v
min
required
to tip the cube so that it falls its righthand
face.
1.
v
min
=
m
M
radicalbigg
5
g a
parenleftBig
√
2
−
1
parenrightBig
2.
v
min
=
M
m
radicalbigg
3
g a
parenleftBig
√
2
−
1
parenrightBig
3.
v
min
=
m
M
radicalbigg
2
g a
parenleftBig
√
2
−
1
parenrightBig
4.
v
min
=
m
M
radicalbigg
3
g a
parenleftBig
√
5
−
1
parenrightBig
5.
v
min
=
m
M
radicalbigg
3
g a
parenleftBig
√
3
−
1
parenrightBig
002
10.0 points
If you walk along the top of a fence, why does
holding your arms out help you to balance?
1.
Your momentum is decreased.
2.
Your rotational inertia is decreased.
3.
Your rotational inertia is increased.
4.
Your momentum is increased.
003
10.0 points
The angle of the inclination is 34
.
9
◦
, the outer
part of the large pulley has a radius of 3
r
and
the inner part of the large pulley has a radius
of
r
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 Turner
 Mass, Simple Harmonic Motion, Work, 2 m

Click to edit the document details