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CP CALC For a certain oscillator the net force on the body

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 92P Chapter 14

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 92P

CP CALC ?For a certain oscillator the net force on the body with mass ?m ?is given by (a) what is the potential energy function for this oscillator if we take ?U = ?0 at x = 0? (b) One-quarter of a period is the time for the body to move from ?x = 0 to ?x ?= ?A?. Calculate this time and hence the period. [?Hint: Begin with Eq. (14.20), modified to include the potential-energy function you found in part (a), and solve for the velocity ?v? ?as a function of ?x?. Then replace ?v? ?with ?dx/dt. Separate x x the variable by writing all the factors containing ?x on one side and all factors containing ?t on the other side so that each side can be integrated. In the ?x?-integral make the change of variable ?u = x/A. The resulting integral can be evaluated by numerical methods on a computer and has the value = 1.31.] (c) According to the result you obtained in part (b), does the period depend on the amplitude ?A ? f the motion? Are the oscillations simple harmonic?

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Intro to Music Literature Prelude 2 & Chapter 13 Week 5 Jade Gibson ­ Class Notes Prelude 2 & Chapter 13 Music of the Middle Ages (year 500­1450) What impacted the type of music during this time period = Religious The Christian Church Sacred vs Secular Church vs Monastery

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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

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CP CALC For a certain oscillator the net force on the body