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Equation (11.73) gives the three normal frequencies of

Chapter 11, Problem 11.23

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QUESTION:

Equation (11.73) gives the three normal frequencies of three coupled pendulums in natural units with L=m= 1. We have already seen that the value of wi2 in arbitrary units is g/L. Find the values of col' and w3 in arbitrary units. [Hint: Start by considering the quantity Figure 11.19 11.24

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QUESTION:

Equation (11.73) gives the three normal frequencies of three coupled pendulums in natural units with L=m= 1. We have already seen that the value of wi2 in arbitrary units is g/L. Find the values of col' and w3 in arbitrary units. [Hint: Start by considering the quantity Figure 11.19 11.24

ANSWER:

Step 1 of 4

Equation (11.73) asserts that , and  in a system of units where , that is, a system in which the unit of length is  and the unit of mass is .

 

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