10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below its equilibrium position. After release, the block makes one complete up-and-down cycle in 2 seconds and follows simple harmonic motion. а. What is the period of the motion?

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10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below its
equilibrium position. After release, the block makes one complete up-and-down cycle in 2
seconds and follows simple harmonic motion.
a. What is the period of the motion?
b. What is the frequency?
c. What is the amplitude?
С.
d. Write a function to model the displacement d (in inches) as a function of the time t (in
seconds) after release. Assume that a displacement above the equilibrium point is
positive.
е.
Find the displacement of the block and direction of movement at t = 1 sec.
Transcribed Image Text:10. A block hangs on a spring attached to the ceiling and is pulled down 6 inches below its equilibrium position. After release, the block makes one complete up-and-down cycle in 2 seconds and follows simple harmonic motion. a. What is the period of the motion? b. What is the frequency? c. What is the amplitude? С. d. Write a function to model the displacement d (in inches) as a function of the time t (in seconds) after release. Assume that a displacement above the equilibrium point is positive. е. Find the displacement of the block and direction of movement at t = 1 sec.
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