Physics, Books a la Carte Edition (5th Edition)
5th Edition
ISBN: 9780134020853
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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Students have asked these similar questions
A bee of mass 1 g lands on the end of a horizontal twig, which starts to osci llate up and down with a period of 1 s. Treat the twig as a massless spring, and estimate its force constant.
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
Use your result from part (a), and recast it into the form |F| = Keff* total Solve for keff.
=
(c) What If? Two identical light springs with spring constant k3 are now individually hung vertically from the ceiling and
attached at each end of a symmetric object,…
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Chapter 13 Solutions
Physics, Books a la Carte Edition (5th Edition)
Ch. 13.1 - If the frequency of an oscillator is halved, by...Ch. 13.2 - Prob. 2EYUCh. 13.3 - An object moves with simple harmonic motion about...Ch. 13.4 - Rank the four massspring systems in Figure 13-15...Ch. 13.5 - The total mechanical energy of an ideal...Ch. 13.6 - Rank the four pendulum systems in Figure 13-25 in...Ch. 13.7 - The amplitude of a damped oscillation decreases...Ch. 13.8 - When you drive a pendulum at a frequency f1, you...Ch. 13 - A basketball player dribbles a ball with a steady...Ch. 13 - A person rides on a Ferris wheel that rotates with...
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