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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-> 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:
