Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 23.1, Problem 3eTH

(i)

To determine

The pulse at 0.3 s.

(ii)

To determine

Inconsistency with the free-end boundary condition for the given pulse.

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1. A) The String has a frequency 120 Hz. The length of the string from the vibrator to the point where the string touches the top of the pulley is 1.2 meters. What is the wavelength of the standing wave corresponding to the third resonant mode of the system? Show your work. B)What is the velocity of the wave for the same system described in Part A, but for the case of the fifth resonant mode? Show your work. C) Suppose that the system described in Part A has string with mass density equal to ?=2.95×10−14???μ=2.95×10−14kgm. What is the tension T in the string for the second resonant mode? Show your work.
See images below: If the bar and block are too heavy  the strings may break. Which of the two identical strings will break first? Assuming that m1 d, and L are held fixed, what is the maximum block mass m (max) for which the bar will always be stable? In other words, what is the maximum block mass such that x (critical) ≤ 0? Answer in terms of m1, d, and L.
Can you use the function and cos(x) to define a wavefunction in the region of 0 <x<π? Whatabout the case of tan(x)?
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