Consider an idealized pendulum consisting of a point mass of
mass m hanging from a light (massless) string of length L.
The pendulum undergoes small oscillations, and can be
considered to be undergoing simple harmonic motion. If the
mass of the point mass is changed to 4m, the frequency will:
re
D
ec
ve
0%
ab
o
ro
th
e
of
on
e
N
as
e
re
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e
by
a
fa
ct
o
a
fa
ct
o
ro
of
2
or
fa
ct
a
D
ec
0%
f2
0%
f4
0%
by
se
re
a
In
c
re
a
se
by
a
fa
ct
or
of
4
0%
by
Increase by a factor of 4
Increase by a factor of 2
Decrease by a factor of 4
Decrease by a factor of 2
None of the above
In
c
A.
B.
C.
D.
E.
Consider an idealized pendulum consisting of a point mass of
mass m hanging from a light (massless) string of length L.
The pendulum undergoes small oscillations, and can be
considered to be undergoing simple harmonic motion. If the
string length is changed to 4L, the frequency will:
ve
0%
2
ab
o
f
th
e
of
N
on
e
a
D
ec
r
ea
se
by
ea
se
D
ec
r
ro
fa
ct
o
ro
fa
ct
o
a
fa
ct
a
by
se
re
a
In
c
0%
f
2
of
or
of
or
fa
ct
a
by
se
re
a
0%
4
0%
4
0%
by
Increase by a factor of 4
Increase by a factor of 2
Decrease by a factor of 4
Decrease by a factor of 2
None of the above
In
c
A.
B.
C.
D.
E.
Consider an idealized pendulum consisting of a point mass of
mass m hanging from a light (massless) string of length L.
The pendulum undergoes small oscillations, and can be
considered to be undergoing simple harmonic motion. If the
initial amplitude doubles, the frequency will:
ve
0%
ab
o
of
2
of
on
e
N
re
a
se
by
a
N
fa
ct
ot
c
or
ha
up
l
Q
ua
dr
0%
ng
e
e
0%
th
e
0%
e
0%
In
c
Double
Quadruple
Not change
Increase by a factor of 2
None of the above
D
ou
bl
A.
B.
C.
D.
E.
A visitor to the GDJ Student Union wishes to determine the height of
the union. She ties a spool of thread to a small rock to make a simple
pendulum, which she hangs down from the roof of the union. The
period of oscillation is 7.85 seconds. What is the height of the union in
meters, assuming that the rock just misses the ground and the other
end is tied near the top of the tower?
Rank
Responses
1
2
3
4
5
0%
6
1
0%
2
0%
3
0%
4
0%
5
0%
6
A weight of mass M1 sitting on a
rough surfaced table is attached to a
mass M2 hanging off the table via a
pulley with mass m. The system is
set in motion and mass M2 drops.
Using the orientation for +x and +y
given, which of the following is NOT
a correct equation for block M1.
A.
B.
C.
D.
E.
F.
T1-Fk = M1a
T1-μkM1g = M1a
n-M1g = 0
T1-μkM1g = 0
n-M1g = M1a
Both D and E are
incorrect
A weight of mass M1 sitting on a
rough surfaced table is attached to a
mass M2 hanging off the table via a
pulley with mass m. The system is
set in motion and mass M2 drops.
Using the orientation for +x and +y
given, which of the following is a
correct equation for block M2.
ar
e
B
an
d
A
th
Bo
ec
co
rr
M
=
2g
T2
-M
0%
t
2a
0%
M
=
=
2g
T2
-F
k
-M
T2
-M
0%
2a
0%
-M
2a
2a
0%
=
T2-Fk = -M2a
T2-M2g = -M2a
T2-Fk = M2a
T2-M2g = M2a
Both A and B are
correct
T2
-F
k
A.
B.
C.
D.
E.
A weight of mass M1 sitting on a
rough surfaced table is attached to a
mass M2 hanging off the table via a
pulley with mass m. The system is
set in motion and mass M2 drops.
Using the orientation for +x and +y
given, which of the following is NOT
a correct equation for the pulley of
mass m.
A.
B.
C.
D.
τ1- τ2 = Iα
τ2- τ1 = Iα
τ2- τ1 = Ia/r
rT2- rT1 = Ia/r