A particle in a vibrating spring is moving vertičally such that its distance s(t) from a fixed point on the line of vibration is given by s(t) = 4 + sin (100nr), where s(1) is in cm and t is in seconds. (a) How long does it take the particle to make one complete vibration? (b) Find the velocity of the particle at t= 1, t- 1.005, (- 1.01, and t- 1.015.

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Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 93P: A spherical particle falling at a terminal speed in a liquid must have the gravitational force...
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A cork bobs up and down in a pail of water such that the
distance from the bottom of the pail to the center of the
cork at time t 2 0 is given by s(t) = 12 + cos (at), where
s(t) is in inches and t is in seconds (see figure).
Cork
OT
s(t)
Transcribed Image Text:A cork bobs up and down in a pail of water such that the distance from the bottom of the pail to the center of the cork at time t 2 0 is given by s(t) = 12 + cos (at), where s(t) is in inches and t is in seconds (see figure). Cork OT s(t)
A particle in a vibrating spring is moving vertically
such that its distance s(t) from a fixed point on the line
of vibration is given by s(t) = 4 + sin (100zt), where
s(1) is in cm and t is in seconds.
(a) How long does it take the particle to make one
complete vibration?
(b) Find the velocity of the particle at t = 1, t = 1.005,
t = 1.01, and t = 1.015.
Transcribed Image Text:A particle in a vibrating spring is moving vertically such that its distance s(t) from a fixed point on the line of vibration is given by s(t) = 4 + sin (100zt), where s(1) is in cm and t is in seconds. (a) How long does it take the particle to make one complete vibration? (b) Find the velocity of the particle at t = 1, t = 1.005, t = 1.01, and t = 1.015.
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