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A 64 pound weight is attached to the lower end of a coiled spring suspended from...

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Physics

A 64 pound weight is attached to the lower end of a coiledspring suspended from the ceiling. The weight comes to rest at itsequilibrium position, thereby stretching the spring 1/2 foot. Attime t = 0, the weight is positioned 1 /√3 feet below equilibriumand given a downward velocity of 8 feet per second.

(a) Determine the equation of motion of the weight as a functionof time.

(b) Find the amplitude of the motion.

(c) Find the period of the motion.

(d) Find the phase angle.

(e) Determine the times that the weight passes throughequilibrium.

(f) Determine the third time the weight passes throughequilibrium moving upward.

(g) Determine the second time the weight passes throughequilibrium moving downward.

(h) Determine the times the weight is 1 foot belowequilibrium.

(i) Determine the second time the weight is 1 foot belowequilibrium moving upward.

(j) Determine the second time the weight is 1 foot belowequilibrium moving downward

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