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  3. a mass weighing 20 pounds stretches a spring 6 inc

A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from...

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Question

Basic Math

A mass weighing 20 pounds stretches a spring 6 inches. The massis initially released from rest from a point 8 inches below theequilibrium position.

(a) Find the position x of the mass at the times

t = ?/12, ?/8, ?/6,?/4, and 9?/32 s.

(Use

g = 32 ft/s2

for the acceleration due to gravity.)

x(?/12)=

?14?

   ft
x(?/8)=

?.5

   ft
x(?/6)=

?0.25

   ft
x(?/4)=

0.5

   ft
x(9?/32)=

0.35

   ft



(b) What is the velocity of the mass when

t = 3?/16 s?

4

   ft/s

In which direction is the mass heading at this instant?

upward

downward

    
(c) At what times does the mass pass through the equilibriumposition?

0

   ,  n = 0, 1,2,  

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