A 120-N Object Is Oscillating in Simple Harmonic Motion at the the End

question 13

Short Answer

A 12.0-N object is oscillating in simple harmonic motion at the end of an ideal vertical spring. Its vertical position y as a function of time t is given by y(t) = 4.50 cm cos[(19.5 s^-1)t - π/8].
(a) What is the spring constant of the spring?
(b) What is the maximum acceleration of the object?
(c) What is the maximum speed that the object reaches?
(d) How long does it take the object to go from its highest point to its lowest point?

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Definitions:

External Oblique

A muscle located on the external surface of the abdomen, part of the abdominal wall muscles, playing a role in trunk movement and support.

Internal Oblique

A muscle in the abdomen that assists in rotating and flexing the trunk as well as maintaining abdominal pressure.

Inferior Oblique

A muscle of the eye that contributes to lateral and upward gaze.

Lateral Rectus

A muscle in the eye that abducts the eyeball, allowing movement of the eye laterally towards the temple.