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An object attached to a coiled spring is pulled down a distance a from its rest position and then released.

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An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.

a = 5;   T = 2 seconds
asked Jan 29, 2015 in PRECALCULUS by anonymous

1 Answer

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Step 1:

The amplitude image.

The time period image seconds.

An object that moves on a coordinate axis so that the distance image from its rest position at time image, then the function is image.

The object starts at a vertical position, so image.

image

image

The function of the form image.

Solution:

The function of the form image.

answered Jan 30, 2015 by Sammi Mentor

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