7th Edition

ISBN: 9780073397924

Author: Steven C. Chapra Dr., Raymond P. Canale

Publisher: McGraw-Hill Education

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Textbook Question

Chapter 12, Problem 33P

Mechanical/Aerospace Engineering

Idealized spring-mass systems have numerous applications throughout engineering. Figure P12.33 shows an arrangement of four springs in series being depressed with a force of 2000 kg. At equilibrium, force-balance equations can be developed defining the inter relationships between the springs,

Chapter 12, Problem 33P, Mechanical/Aerospace Engineering
12.33 Idealized spring-mass systems have numerous applications

FIGURE P12.33

k 2 ( x 2 − x 1 ) = k 1 x 1

k 3 ( x 3 − x 2 ) = k 2 ( x 2 − x 1 )

k 4 ( x 4 − x 3 ) = k 3 ( x 3 − x 2 )

F = k 4 ( x 4 − x 3 )

where the k's are spring constants. If k 1 through k 4 are 150, 50, 75, and 225 N/m, respectively, compute the x' s.

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Chapter 12, Problem 32P

Chapter 12, Problem 34P

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Chapter 12 Solutions

Numerical Methods for Engineers

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Solution Summary: The author explains how to calculate the elongation in the spring for the system provided in Figure P12.33.

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