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## Homework Statement

Suppose the motion of a spring has natural frequency 1/2 and is undamped. If the weight attached is 32lb, write a differential equation describing the motion.

## Homework Equations

my''+ky=F_ocosωt

32y"+8y=?

ω_o= (k/m)^.5

## The Attempt at a Solution

→ .5=(k/32)^.5 → k=8

gamma=0

32y"+8y=?

My problem is that I don't know how to find F_o or ω. Is this question referring to that of a no external force case? Or am I missing some equation that will help me find this?

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