Ch9_1
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Make sure to calculate your answers in SI units unless specified otherwise .
1) Uniform circular motion in the
x-y
plane is projected onto the
x
-axis resulting in an oscillation, simple harmonic motion (SHM). If the radius of the circle is
m
what is the amplitude of the oscillation
(see sheet 3)
? Indicate with a negative (positive) sign whether the projection onto the
y
-axis would (not) result in SHM, however with different initial (
t
= 0) condition
(see sheet 4')
.
2) Uniform circular motion in the
x-y
plane is projected onto the
x
-axis resulting in an oscillation, simple harmonic motion (SHM). If the constant angular velocity of the circular motion is
rads/s
what is the frequency of the oscillation
(see sheet 4)
? Indicate with a negative (positive) sign whether the period can (cannot) be calculated too from the data given.
3) An object in SHM with a period of
s
is at
s
a distance of
m
displaced from the equilibrium position (displacement = 0). What is the amplitude of the oscillation
(see sheet 4)
? Indicate with a positive (negative) sign whether at
t
= 0 the displacement is minimal (maximal) Note! in
x
=
x
0
cos(
w
t
), always use the full argument (
w
t
), including the
t
. The quantity in the (..) is an angle in
radians
(watch your calculator!).
4) An object in SHM with a frequency of
Hz
(see sheet 9)
has a velocity of (-)
m/s
at
s
. What is the magnitude of the maximum velocity
(see sheet 6)
?
5) An object in SHM with a period of
s
has a maximum velocity of
m/s
. What is the amplitude
(see sheet 6)
?
6) An object in SHM has a maximum velocity of
m/s
and an amplitude of
m
. What is the magnitude of the maximum acceleration
(see sheet 6)
? Indicate with a positive (negative) sign whether the acceleration as a function of time can (cannot) be written as -(2
p
/
T
)
2
x
, where
x
is the displacement as a function of time and
T
is the period.
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cannot resubmit answers
for the same Problem Set--you must use the 'New Problems' button first.