Question

A mass weighing 16 lbs is attached to a 6 ft long spring. At equilibrium, the spring measures 14 ft. The mass is initially released from rest at the point 1 ft below the equilibrium position and at t=pi the mass is struck by the sharp blow of 2*sqrt(3) lbs.

a. Using laplace transform, determine the displacement y(t)

b. Graph y(t)

Answer 1

and

Thus,

So

Taking Laplace transform we get

and

So we have

So

Taking inverse Laplace transform we get

as the required displacement function

b) Graph is below:

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