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A mass of 1 slug is suspended from a spring whose spring

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill ISBN: 9781111827052 44

Solution for problem 12E Chapter 5.1

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 12E

Problem 12E

A mass of 1 slug is suspended from a spring whose spring constant is 9 lb/ft. The mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of Find the times at which the mass is heading downward at a velocity of 3 ft/s.

Step-by-Step Solution:

Solution

In this question it is given that A mass of 1 slug is suspended from a spring whose spring constant is 9 lb/ft. The mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of, we have to find the times at which the mass is heading downward at a velocity of 3 ft/s.

Step 1

The above conditions can be written in the form of differential equation as

Here

=>

and

Here it is given that mass is heading downwards with a velocity of 3ft/s

So

=>

Therefore times the mass is heading downwards with the velocity of 3ft/s.

Step 2 of 1

Chapter 5.1, Problem 12E is Solved
Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

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A mass of 1 slug is suspended from a spring whose spring