A mass m on a spring with spring constant k oscillates with x position equal to: x = xocos (wt + 7) a. Graph the position as a function of time. b. What is the velocity as a function of time? C. What is the acceleration as a function of time?

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A mass m on a spring with spring constant k oscillates with x position equal to:
x = xocos (wt +
a. Graph the position as a function of time.
b. What is the velocity as a function of time?
С.
What is the acceleration as a function of time?
d. If the block passes through the middle with a speed vmax, what is the maximum physical
displacement of the block?
At what coordinate is the block's kinetic energy half of the total energy? Answer in terms of
е.
Хтах
f.
At what coordinate is the block's potential energy 30% of the total energy?
Transcribed Image Text:A mass m on a spring with spring constant k oscillates with x position equal to: x = xocos (wt + a. Graph the position as a function of time. b. What is the velocity as a function of time? С. What is the acceleration as a function of time? d. If the block passes through the middle with a speed vmax, what is the maximum physical displacement of the block? At what coordinate is the block's kinetic energy half of the total energy? Answer in terms of е. Хтах f. At what coordinate is the block's potential energy 30% of the total energy?
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