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Real springs have mass. Will the true period and frequency

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli ISBN: 9780130606204 3

Solution for problem 4Q Chapter 11

Physics: Principles with Applications | 6th Edition

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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

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Problem 4Q

Problem 4Q

Real springs have mass. Will the true period and frequency be larger or smaller than given by the equations for a mass oscillating on the end of an idealized massless spring? Explain.

Step-by-Step Solution:
Step 1 of 3

Solution 4Q

How does period of a spring with mass change when we assume that spring has mass as against when it is an ideal spring?

 

The real spring has mass, so the effective mass oscillating at the end of a real  spring is higher than for an ideal spring.

Frequency is inversely proportional to square root of mass as given by the formula below.

Thus, the frequency will be smaller for a real spring compared to that of an ideal spring.

 Since f = 1/T, the true period will be larger than the ideal period.

Step 2 of 3

Chapter 11, Problem 4Q is Solved
Step 3 of 3

Textbook: Physics: Principles with Applications
Edition: 6
Author: Douglas C. Giancoli
ISBN: 9780130606204

This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. The answer to “Real springs have mass. Will the true period and frequency be larger or smaller than given by the equations for a mass oscillating on the end of an idealized massless spring? Explain.” is broken down into a number of easy to follow steps, and 32 words. This full solution covers the following key subjects: mass, massless, explain, frequency, given. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. The full step-by-step solution to problem: 4Q from chapter: 11 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. Since the solution to 4Q from 11 chapter was answered, more than 545 students have viewed the full step-by-step answer.

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Real springs have mass. Will the true period and frequency