Write down the kinetic energy and potential energy for a pendulum within the small angle approximation (cosø =1–5

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1. Calculate the period of a pendulum.
Write down the kinetic energy and potential energy for a pendulum within the small
angle approximation ( cosø=1-
Let the initial angle be ø, and let go (initial velocity=0). Use Eq. (4.57) with
appropriate limits of integration to find the period of the pendulum. Compare it with
known result.
pxr dx
If - l =
Eq
4.57
Transcribed Image Text:1. Calculate the period of a pendulum. Write down the kinetic energy and potential energy for a pendulum within the small angle approximation ( cosø=1- Let the initial angle be ø, and let go (initial velocity=0). Use Eq. (4.57) with appropriate limits of integration to find the period of the pendulum. Compare it with known result. pxr dx If - l = Eq 4.57
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