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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
![A mass of 6 kg stretches a spring 24 cm. The mass is acted on by an external force of 5 sin() N (newtons) and moves in a medium
that imparts a viscous force of 12 N when the speed of the mass is 4 cm/s. If the mass is set in motion from its equilibrium position
with an initial velocity of 10 cm/s, formulate the initial value problem describing the motion of the mass. Assume that g = 9.8
6" + 12 +2.45u = 5sin(
6 +300+245u=5sin(
6u" + 300u' +245u = 5sin().
6" + 300 +2.45u = 5sin().
6 + 12
(0) = 0, / (0) = 0.10, in meters.
(0) = 0.10,
(0) = 0,
uin meters.
(0) = 0,
(0) = 0.10,
uin meters.
(0) = 0.
(0) = 0.10,
win meters.
+245u = 5sin(). (0) = 0, 1/(0) = 0.10, uin meters.
n().
10](https://content.bartleby.com/qna-images/question/9fccc0d8-0c83-4e27-b7fc-964836c0c0e1/614d00f6-c5c7-4c76-881e-987707289fe4/1hj6b97_thumbnail.jpeg)
Transcribed Image Text:A mass of 6 kg stretches a spring 24 cm. The mass is acted on by an external force of 5 sin() N (newtons) and moves in a medium
that imparts a viscous force of 12 N when the speed of the mass is 4 cm/s. If the mass is set in motion from its equilibrium position
with an initial velocity of 10 cm/s, formulate the initial value problem describing the motion of the mass. Assume that g = 9.8
6" + 12 +2.45u = 5sin(
6 +300+245u=5sin(
6u" + 300u' +245u = 5sin().
6" + 300 +2.45u = 5sin().
6 + 12
(0) = 0, / (0) = 0.10, in meters.
(0) = 0.10,
(0) = 0,
uin meters.
(0) = 0,
(0) = 0.10,
uin meters.
(0) = 0.
(0) = 0.10,
win meters.
+245u = 5sin(). (0) = 0, 1/(0) = 0.10, uin meters.
n().
10
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