For Exercises 53-54, use the model d = a e − c t cos ω t or d = a b k t cos w t to represent damped harmonic motion. A pendulum is pulled π 18 radians to one side and then released. The angular displacement θ follows a pattern of damped harmonic motion with each cycle lasting 2 sec . If the maximum displacement for each cycle decreases by 20 % , find a function that models the angular displacement t sec after being released.
For Exercises 53-54, use the model d = a e − c t cos ω t or d = a b k t cos w t to represent damped harmonic motion. A pendulum is pulled π 18 radians to one side and then released. The angular displacement θ follows a pattern of damped harmonic motion with each cycle lasting 2 sec . If the maximum displacement for each cycle decreases by 20 % , find a function that models the angular displacement t sec after being released.
Solution Summary: The author explains the function that models the angular displacement of the pendulum after time, t, following a pattern of damped harmonic motion.
For Exercises 53-54, use the model
d
=
a
e
−
c
t
cos
ω
t
or
d
=
a
b
k
t
cos
w
t
to represent damped harmonic motion.
A pendulum is pulled
π
18
radians to one side and then released. The angular displacement
θ
follows a pattern of damped harmonic motion with each cycle lasting
2
sec
. If the maximum displacement for each cycle decreases by
20
%
, find a function that models the angular displacement
t
sec
after being released.
For the system consisting of the lines:
and
71 = (-8,5,6) + t(4, −5,3)
72 = (0, −24,9) + u(−1, 6, −3)
a) State whether the two lines are parallel or not and justify your answer.
b) Find the point of intersection, if possible, and classify the system based on the
number of points of intersection and how the lines are related. Show a complete
solution process.
3. [-/2 Points]
DETAILS
MY NOTES
SESSCALCET2 7.4.013.
Find the exact length of the curve.
y = In(sec x), 0 ≤ x ≤ π/4
H.w
WI
M
Wz
A
Sindax
Sind dy max
Утах
at 0.75m from A
w=6KN/M L=2
W2=9 KN/m
P= 10 KN
B
Make the solution handwritten and not
artificial intelligence because I will
give a bad rating if you solve it with
artificial intelligence
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