As in 14, the displacements x of two simple pendulums are x = 2 cos(t/2) and 3 sin(t/3)

Chapter 7, Problem 15

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QUESTION:

As in 14, the displacements x of two simple pendulums are x = 2 cos(t/2) and 3 sin(t/3). They are not together at t = 0; plot graphs to see when they are first together.

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QUESTION:

As in 14, the displacements x of two simple pendulums are x = 2 cos(t/2) and 3 sin(t/3). They are not together at t = 0; plot graphs to see when they are first together.

ANSWER:

Step 1 of 2

The displacements x of two simple pendulums are  and

The two pendula meet up at  so,

Implies,

And,

Implies,

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