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Homework Statement
A 15.0-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 cos[(19.5s−1)t−π/8] in centimeters.
What is the spring constant of the spring?
Homework Equations
y component of spring force = -k*displacement = mg
k = (mg)/displacement
The Attempt at a Solution
I thought the spring constant of the spring was basically (mg)/displacement. mg = 15 N, and the total displacement of the spring is 4.50*2 = 9.00 centimeters. I thought the spring constant was 15N/0.09m = 166.67 N/m.