A pendulum is launched from a point that is a height h

Chapter 17, Problem 11Q

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QUESTION:

A pendulum is launched from a point that is a height  above its lowest point in two different ways (Fig. 6-32). During both launches, the pendulum is given an initial speed of  On the first launch, the initial velocity of the pendulum is directed upward along the trajectory, and on the second launch it is directed downward along the trajectory. Which launch will cause it to swing the largest angle from the equilibrium position? Explain.

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QUESTION:

A pendulum is launched from a point that is a height  above its lowest point in two different ways (Fig. 6-32). During both launches, the pendulum is given an initial speed of  On the first launch, the initial velocity of the pendulum is directed upward along the trajectory, and on the second launch it is directed downward along the trajectory. Which launch will cause it to swing the largest angle from the equilibrium position? Explain.

ANSWER:

Step 1 of 2

The kinetic energy at the lowest point for a simple pendulum changes to the potential energy at the top position.

The kinetic energy at the lowest is,

                               

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