The bob at the end of a simple pendulum of length is
Chapter , Problem 66(choose chapter or problem)
The bob at the end of a simple pendulum of length is released from rest from an angle (a) Model the pendulums motion as simple harmonic motion, and find its speed as it passes through by using the small angle approximation. (b) Using the conservation of energy, find this speed exactly for any angle (not just small angles). (c) Show that your result from Part (b) agrees with the approximate answer in Part (a) when is small. (d) Find the difference between the approximate and exact results for and (e) Find the difference between the approximate and exact results for and
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