A mass that weighs 8 lb stretches a spring 6 inches. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and ft Express your answer as a linear combination of sin(at) g= 32 s2 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 = Second zero: t = Third zero: t Fourth zero: t =
A mass that weighs 8 lb stretches a spring 6 inches. The system is acted on by an external force of 8 sin(8t) lb. If the mass is pulled down 3 inches and then released, determine the position of the mass at any time t. Assume that the u-axis is directed downwards and ft Express your answer as a linear combination of sin(at) g= 32 s2 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 = Second zero: t = Third zero: t Fourth zero: t =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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![A mass that weighs 8 lb stretches a spring 6 inches. The system is
acted on by an external force of 8 sin(8t) lb. If the mass is pulled
down 3 inches and then released, determine the position of the mass
at any time t. Assume that the u-axis is directed downwards and
ft
Express your answer as a linear combination of sin(at)
9 = 32
s2
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 =
Second zero: t =
Third zero: t =
Fourth zero: t =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0057780-ecc3-4ab8-aa40-406f48fe9747%2F0d2977e7-360e-438b-8abb-b9952bf38256%2Fo76taw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A mass that weighs 8 lb stretches a spring 6 inches. The system is
acted on by an external force of 8 sin(8t) lb. If the mass is pulled
down 3 inches and then released, determine the position of the mass
at any time t. Assume that the u-axis is directed downwards and
ft
Express your answer as a linear combination of sin(at)
9 = 32
s2
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 =
Second zero: t =
Third zero: t =
Fourth zero: t =
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