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Calculus / A First Course in Differential Equations with Modeling Applications 10 / Chapter 5.1 / Problem 9E

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

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A mass weighing 8 pounds is attached to a spring. When set

Chapter 5, Problem 9E

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QUESTION:

A mass weighing 8 pounds is attached to a spring. When set in motion, the spring/mass system exhibits simple harmonic motion.

(a) Determine the equation of motion if the spring constant is 1 lb/ft and the mass is initially released from a point 6 inches below the equilibrium position with a downward velocity of \(\frac{3}{2}\) ft/s.

(b) Express the equation of motion in the form given in (6).

(c) Express the equation of motion in the form given in \(\left(6^{\prime}\right)\).

Text Transcription:

frac32

(6^\prime)

Questions & Answers

QUESTION:

A mass weighing 8 pounds is attached to a spring. When set in motion, the spring/mass system exhibits simple harmonic motion.

(a) Determine the equation of motion if the spring constant is 1 lb/ft and the mass is initially released from a point 6 inches below the equilibrium position with a downward velocity of \(\frac{3}{2}\) ft/s.

(b) Express the equation of motion in the form given in (6).

(c) Express the equation of motion in the form given in \(\left(6^{\prime}\right)\).

Text Transcription:

frac32

(6^\prime)

ANSWER:

Step 1 of 13

a)In this problem we need to determine the equation of motion if the spring constant is 1 lb/ft and the mass is initially released from a point 6 inches below the equilibrium position with a downward velocity of $\frac{3}{2}ft/s$ .

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