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## Homework Statement

Is the time average of the tension in the string of the pendulum larger or smaller than

mg? By how much?

## Homework Equations

$$F = -mgsin\theta $$

$$T = mgcos\theta $$

## The Attempt at a Solution

I'm mostly confused by what it means by time average. However from my understanding of the question the answer should be yes it is smaller than mg. Since $$T=mgcos\theta$$.

Therefore, it is smaller by a factor of cos(theta) unless the angle is 0 or pi in that case it is equal to mg. Does that make sense?