The displacements x of two simple pendulums (see 13) are 4 sin(t/3) and 3 sin(t/4). They

Chapter 7, Problem 14

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QUESTION:

The displacements x of two simple pendulums (see 13) are 4 sin(t/3) and 3 sin(t/4). They start together at x = 0. How long will it be before they are together again at x = 0? Hint: Sketch or computer plot the graphs.

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QUESTION:

The displacements x of two simple pendulums (see 13) are 4 sin(t/3) and 3 sin(t/4). They start together at x = 0. How long will it be before they are together again at x = 0? Hint: Sketch or computer plot the graphs.

ANSWER:

Step 1 of 3

We want the phases of both of the pendula to be equal to . This only happens at . where:

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