A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of 4 sin(4t) lb. If the mass is pulled down 6 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and Express your answer as a linear combination of sin(at) ft 9 = 32 $² and cos(at), where u is in feet and t is in seconds. u(t): = Determine the first four times at which the velocity of the mass is zero. Exclude t = = 0 as trivial, and enter exact answers. First zero: t = Third zero: t = Second zero: t = Fourth zero: t =

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A mass that weighs 8 lb stretches a spring 24 inches. The system is
acted on by an external force of 4 sin(4t) lb. If the mass is pulled
down 6 inches and then released, determine the position of the mass
at any time t. Assume that the u-axis is directed downwards and
ft
=
g 32 Express your answer as a linear combination of sin(at)
$²
and cos(at), where u is in feet and t is in seconds.
u(t)
=
Determine the first four times at which the velocity of the mass is
zero. Exclude t = 0 as trivial, and enter exact answers.
First zero: t =
Third zero: t
=
Second zero: t
=
Fourth zero: t =
Transcribed Image Text:A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of 4 sin(4t) lb. If the mass is pulled down 6 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and ft = g 32 Express your answer as a linear combination of sin(at) $² and cos(at), where u is in feet and t is in seconds. u(t) = Determine the first four times at which the velocity of the mass is zero. Exclude t = 0 as trivial, and enter exact answers. First zero: t = Third zero: t = Second zero: t = Fourth zero: t =
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