Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 31.6, Problem 31.5QQ
To determine
The reason for oscillation decay.
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Write down an expression for the net force along the (tangentially to) arc of motion on a simple pendulum made of a metal rod of the length /and the
mass m carrying the current /. The rod is suspended by the middle on a weightless wire of the length L in the magnetic field B and the gravitational
field g perpendicular to the rod (see picture below). Please use "*" (without the quotes) for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual
"+" and "-" signs as appropriate. For exponents (e.g. A²) use A*A or A^2 notation: thus A3/B should appear as either A*A*A/B or A^3/B. For greek letters
use "theta" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without the quotes). Thus for Acose use A*cos theta. Please
use the "Display response" button to check you entered the answer you expect.
Side view
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Top view
77
arc of
motion
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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.
Write down an expression for the net force along the (tangentially to) arc of motion on a simple pendulum made of a metal rod of the length /and the
mass m carrying the current /. The rod is suspended by the middle on a weightless wire of the length L in the magnetic field B and the gravitational
field g perpendicular to the rod (see picture below). Please use "*" (without the quotes) for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual
"+" and "-" signs as appropriate. For exponents (e.g. A²) use A*A or A^2 notation: thus A³/B should appear as either A*A*A/B or A^3/B. For greek letters
use "theta" (without the quotes) and for trigonometric functions use "cos", "tan", "sin" (without the quotes). Thus for Acose use A*cos theta. Please
use the "Display response" button to check you entered the answer you expect.
Side view
7/
I
1
1
Top view
Ө
I
are of
motion
B
Chapter 31 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 31.1 - A circular loop of wire is held in a uniform...Ch. 31.2 - QUICK QUIZ 30.2 In Figure 30.8a, a given applied...Ch. 31.3 - Figure 30.12 (Quick Quiz 30.3) QUICK QUIZ 30.3...Ch. 31.5 - Prob. 31.4QQCh. 31.6 - Prob. 31.5QQCh. 31 - Prob. 1OQCh. 31 - Prob. 2OQCh. 31 - Prob. 3OQCh. 31 - Prob. 4OQCh. 31 - Prob. 5OQ
Ch. 31 - Prob. 6OQCh. 31 - Prob. 7OQCh. 31 - Prob. 8OQCh. 31 - Prob. 9OQCh. 31 - Prob. 10OQCh. 31 - Prob. 11OQCh. 31 - Prob. 1CQCh. 31 - Prob. 2CQCh. 31 - Prob. 3CQCh. 31 - Prob. 4CQCh. 31 - Prob. 5CQCh. 31 - Prob. 6CQCh. 31 - Prob. 7CQCh. 31 - Prob. 8CQCh. 31 - Prob. 9CQCh. 31 - Prob. 10CQCh. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Scientific work is currently under way to...Ch. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - Prob. 14PCh. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - A coil formed by wrapping 50 turns of wire in the...Ch. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - A small airplane with a wingspan of 14.0 m is...Ch. 31 - A 2.00-m length of wire is held in an eastwest...Ch. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - Prob. 29PCh. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - Prob. 33PCh. 31 - Prob. 34PCh. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - Prob. 37PCh. 31 - Prob. 38PCh. 31 - Prob. 39PCh. 31 - Prob. 40PCh. 31 - Prob. 41PCh. 31 - Prob. 42PCh. 31 - Prob. 43PCh. 31 - Prob. 44PCh. 31 - Prob. 45PCh. 31 - Prob. 46PCh. 31 - Prob. 47PCh. 31 - Prob. 48PCh. 31 - The rotating loop in an AC generator is a square...Ch. 31 - Prob. 50PCh. 31 - Prob. 51APCh. 31 - Prob. 52APCh. 31 - Prob. 53APCh. 31 - Prob. 54APCh. 31 - Prob. 55APCh. 31 - Prob. 56APCh. 31 - Prob. 57APCh. 31 - Prob. 58APCh. 31 - Prob. 59APCh. 31 - Prob. 60APCh. 31 - Prob. 61APCh. 31 - Prob. 62APCh. 31 - Prob. 63APCh. 31 - Prob. 64APCh. 31 - Prob. 65APCh. 31 - Prob. 66APCh. 31 - Prob. 67APCh. 31 - A conducting rod moves with a constant velocity in...Ch. 31 - Prob. 69APCh. 31 - Prob. 70APCh. 31 - Prob. 71APCh. 31 - Prob. 72APCh. 31 - Prob. 73APCh. 31 - Prob. 74APCh. 31 - Prob. 75APCh. 31 - Prob. 76APCh. 31 - Prob. 77APCh. 31 - Prob. 78APCh. 31 - Prob. 79CPCh. 31 - Prob. 80CPCh. 31 - Prob. 81CPCh. 31 - Prob. 82CPCh. 31 - Prob. 83CP
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