SOLUTION: An object is attached to a coiled spring. The object is pulled down​ (negative direction from the rest​ position) 2 ​centimeters, and then released. Write an equation for the
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Question 1171810: An object is attached to a coiled spring. The object is pulled down​ (negative direction from the rest​ position) 2 ​centimeters, and then released. Write an equation for the distance d of the object from its rest​ position, after t seconds if the amplitude is 2 centimeters and the period is 6 seconds.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The initial position is the maximum displacement of -2 cm, since the positive
direction is up. The object oscillates back and forth between d = -2
and d = 2 cm. Since the period is 6 s, the angular velocity,
w = 2*pi/T = pi/3.
Thus, the distance d is described by: d(t) = -2cos(wt) = -2cos(pi/3*t)
The graph is shown below:
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