Question

Applications of Second Order Equations-Springs Undamped: Problem 3

(1 point)

A 4 pound object is suspended from a spring. The spring stretches an extra 48 inches with the weight attached. If the spring is compressed by 4 inches and released with an downward velocity of

19.799 feet per second, find a formula describing the displacement of the object using only a single cosine function.

What is the differential equation for this spring-and-mass system? (Use u as the dependent variable.)

What is the formula for the displacement of the object?

u(t)

help (formulas)

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