DIFFERENTIAL EQUATIONS An 8-lb weight is attached to the lower end of a coil spring suspended...

DIFFERENTIAL EQUATIONS

An 8-lb weight is attached to the lower end of a coil spring suspended from a fixed support. The weight comes to rest in its equilibrium position, thereby stretching the spring 6 in. The weight is then pulled down 9 in. below its equilibrium position and released at t=0. The medium offers a resistance in pounds numerically equal to 4x', where x' is the instantaneous velocity in feet per second. Determine the displacement of the weight as a function of the time.

Please be clear with how you arrive to the answer, I have a quiz coming up and want to make sure I do this correctly! Thank you very much

Expert Solution

in this problem the damping frequency will be B=~8 hz. Do not get confused the value of B in Second Order differential equation. Here you can put the any other constant like 'w'.

genius_generous answered 1 year ago

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