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A mass weighing 32 pounds stretches a spring 2 feet. The mass is initially released from...

A mass weighing 32 pounds stretches a spring 2 feet. The mass is initially released from rest from a point 1 foot below the equilibrium position with an upward velocity of 2ft/sec. find the equation of the motion and solve it, determine the period and amplitude.

Math   Calculus   
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Homework Answers

Answer #1

Solution-

kX2=32

k=16

Assume equation of motion-

Position,

t=0 , y=-1ft

.....(1)

Velocity

v=2 at t=0

......(2)

Use energy conservation,

A = 3

Substitute in equation 1,

Substitute in equation 2

Time period T is,

T= 8.887 s

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