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Midterm 2 Review
Sunday 4/1 in 1 Pimentel
Ruza Markov
Problem 1.
A block of mass
m
is launched across
a table using a spring of constant
k
. In the moment
the block is released from rest the spring is compressed
a distance
x
. After the block is launched it runs into
a ramp of mass
M
. Assume that all surfaces are fric
tionless and that the block never reaches the top of the
ramp.
a)
What is the maximal vertical height
h
a
that the
block reaches as it moves up the ramp if the ramp is
attached to the table?
b)
What is the maximal height
h
b
that the block
reaches if the ramp is free to slide across the table?
Problem 2.
A thin metal plate of uniform mass
density is cut into the shape shown:
a)
If the curved boundaries are given by
y
=
±
Cx
1
/
3
ﬁnd the constant
C
in terms of the maximal
x
value
L
and the maximal
y
value
H
.
b)
Find the position of the center of mass. Write your
answer in the form
~
r
cm
=
x
cm
ˆ
x
+
y
cm
ˆ
y
. What is the
distance
r
cm
of the center of mass to the origin?
c)
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This note was uploaded on 04/06/2009 for the course PHYSICS 7A taught by Professor Lanzara during the Spring '08 term at University of California, Berkeley.
 Spring '08
 Lanzara
 Mass

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