8. A mass m is attached to a horizontal spring of spring constant k. The spring oscillates in simple harmonic motion with amplitude A. Answer the following in terms of A. a. At what displacement from equilibrium is the speed half of the maximum value? b. At what displacement from equilibrium is the potential energy half of the maximum value? c. When is the mass farther from its equilibrium position, when its speed is half maximum, or when its potential energy is half maximum? Clearly explain your answer.
8. A mass m is attached to a horizontal spring of spring constant k. The spring oscillates in simple harmonic motion with amplitude A. Answer the following in terms of A. a. At what displacement from equilibrium is the speed half of the maximum value? b. At what displacement from equilibrium is the potential energy half of the maximum value? c. When is the mass farther from its equilibrium position, when its speed is half maximum, or when its potential energy is half maximum? Clearly explain your answer.
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
Transcribed Image Text:8. A mass m is attached to a horizontal spring of spring constant k. The spring oscillates in simple
harmonic motion with amplitude A. Answer the following in terms of A.
a. At what displacement from equilibrium is the speed half of the maximum value?
b. At what displacement from equilibrium is the potential energy half of the maximum value?
c. When is the mass farther from its equilibrium position, when its speed is half maximum, or when its
potential energy is half maximum? Clearly explain your answer.
с.
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