The height in em of a pendulum as it swings is given by h 8 cos Tt + 12 where t is time in seconds. a What is the height of the pendulum after 3 s? b What is the maximum and minimum height of the pendulum? c What is the velocity of the pendulum after: i 1s? ii 1.5 s?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The height in cm of a pendulum as it swings is given by h = 8 cos rt + 12 where t is time
in seconds.
a What is the height of the pendulum after 3 s?
b What is the maximum and minimum height of the pendulum?
c What is the velocity of the pendulum after:
i 1 s?
d What is the acceleration of the pendulum:
i initially?
e EXII Write the equation for acceleration in terms of h.
ii 1.5 s?
ii after 1 s?
iii after 1.5 s?
Transcribed Image Text:The height in cm of a pendulum as it swings is given by h = 8 cos rt + 12 where t is time in seconds. a What is the height of the pendulum after 3 s? b What is the maximum and minimum height of the pendulum? c What is the velocity of the pendulum after: i 1 s? d What is the acceleration of the pendulum: i initially? e EXII Write the equation for acceleration in terms of h. ii 1.5 s? ii after 1 s? iii after 1.5 s?
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