Physics For Scientists And Engineers
6th Edition
ISBN: 9781429201247
Author: Paul A. Tipler, Gene Mosca
Publisher: W. H. Freeman
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Question
Chapter 14, Problem 20P
To determine
The relation between decay times of two spring-mass systems.
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(a) An oscillating object repeats its motion every 3.3 seconds. (i) What is the period of this oscillation?
(ii) What is its frequency? (iii) What is its phase rate (i.e. angular frequency)?
(b) A magnesium atom (mass of 24 proton masses) in a crystal is measured to oscillate with a frequency
of roughly 10l3 Hz. What is the effective spring constant of the forces holding that atom in the crystal?
(c) Sitting on a trampoline, a person with mass m sinks a distance Az below the trampoline's normal
level surface. (i) If the person gently bounces on the trampoline (without leaving its surface), what
would be the person's period of oscillation T?
(You should not need the person's mass, but if you think you do, assume and state a value.)
(ii) Find T for Az = 45 cm.
Check: For Az = 20 cm you should find T = 0.90 s.
The displacement of an oscillating mass is given by x(t) = 10 cos( 5 t). At time t = 2n s, what is the velocity of the
mass in m/s?
(Note that: n = 3.1415)
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Two oscillators are made by connecting identical masses (A and B) to identical sprines: Mass Ais displaced 10 cm and released from rest, while mass B is displaced 5cm and released from rest.Which statement about the periods of the oscillators is true?
Chapter 14 Solutions
Physics For Scientists And Engineers
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