Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 13, Problem 69GP
CE A mass m is suspended from the ceiling of an elevator by a spring of force constant k. When the elevator is at rest, the period of the mass is T. Does the period increase, decrease, or remain the same when the elevator (a) moves upward with constant speed or (b) moves upward with constant acceleration?
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One end of a light spring with spring constant k₁ is attached to the ceiling. A second light spring is attached to the lower end, with
spring constant k₂. An object of mass m is attached to the lower end of the second spring.
(a) By how much does the pair of springs stretch? (Use the following as necessary: k₁, k₂, m, and g, the gravitational
acceleration.)
Xtotal =
X
Because the springs are light, you can treat them as essentially massless, so the only downward force acting on them is mg.
Use |F| = kx to find the amount of stretch, x, for each spring, and then find the sum.
(b) What is the effective spring constant of the spring system? (Use the following as necessary: K₁, K₂, m, and g, the
gravitational acceleration.)
Keff
X
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Chapter 13 Solutions
Physics (5th Edition)
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