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# (a) Write down the equations of motion corresponding to ISBN: 9781891389221 90

## Solution for problem 11.11 Chapter 11

Classical Mechanics | 0th Edition

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Problem 11.11

(a) Write down the equations of motion corresponding to (11.2) for the equal-mass carts of Section 11.2 with three identical springs, but with each cart subject to a linear resistive force by (same coefficient b for both carts) and with a driving force F (t) = Fo cos cot applied to cart 1. (b) Show that if you change variables to the normal coordinates 1 = 1(x1 + x2) and 2 = z (x1 x2), the equations of motion for ci and b2 are uncoupled. (c) Using the methods of Section 5.5, write down the general solutions. (d) Assuming that /3 = b/2m << coo, show that i resonates when co ti coo = Oclm and likewise b2 when co tiNijcoo. (e) Prove, on the other hand, that if both carts are driven in phase with the same force Fo cos cot, only i shows a resonance. Explain. Figure 11.16 11.12

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##### ISBN: 9781891389221

This full solution covers the following key subjects: carts, Force, motion, cart, Write. This expansive textbook survival guide covers 16 chapters, and 736 solutions. Classical Mechanics was written by and is associated to the ISBN: 9781891389221. The answer to “(a) Write down the equations of motion corresponding to (11.2) for the equal-mass carts of Section 11.2 with three identical springs, but with each cart subject to a linear resistive force by (same coefficient b for both carts) and with a driving force F (t) = Fo cos cot applied to cart 1. (b) Show that if you change variables to the normal coordinates 1 = 1(x1 + x2) and 2 = z (x1 x2), the equations of motion for ci and b2 are uncoupled. (c) Using the methods of Section 5.5, write down the general solutions. (d) Assuming that /3 = b/2m << coo, show that i resonates when co ti coo = Oclm and likewise b2 when co tiNijcoo. (e) Prove, on the other hand, that if both carts are driven in phase with the same force Fo cos cot, only i shows a resonance. Explain. Figure 11.16 11.12” is broken down into a number of easy to follow steps, and 151 words. Since the solution to 11.11 from 11 chapter was answered, more than 409 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Classical Mechanics, edition: 0. The full step-by-step solution to problem: 11.11 from chapter: 11 was answered by , our top Physics solution expert on 09/09/17, 04:12AM.

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