) A pendulum has maximum speed v as it swings back and forth. Use energy conservation to derive an expression for its greatest height h above its low point in terms of v and appropriate constants. (b) A different pendulum with period T swings back and forth with the string reaching a maximum angle θ relative to vertical. Derive an expression for its maximum speed v in terms of T, θ, and appropriate constants assuming it undergoes simple harmonic motion
) A pendulum has maximum speed v as it swings back and forth. Use energy conservation to derive an expression for its greatest height h above its low point in terms of v and appropriate constants. (b) A different pendulum with period T swings back and forth with the string reaching a maximum angle θ relative to vertical. Derive an expression for its maximum speed v in terms of T, θ, and appropriate constants assuming it undergoes simple harmonic motion
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 18P
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12. (a) A pendulum has maximum speed v as it swings back and forth. Use energy conservation to derive an expression for its greatest height h above its low point in terms of v and appropriate constants. (b) A different pendulum with period T swings back and forth with the string reaching a maximum angle θ relative to vertical. Derive an expression for its maximum speed v in terms of T, θ, and appropriate constants assuming it undergoes simple harmonic motion .
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