A spring-mass system shown in the diagram below is free to oscillate in the vertical direction. TT unstretched x<0 X - 0 equilibrium position mg - ks - 0 x>0 motion m The position (x) of the spring is positive when the spring is below the equilibrium position. If the block is displaced from its equilibrium position by a distance x, show that its equation of motion is given by: * +x = 0 K Why is it that the equation of motion does not include the force of gravity? In which direction does the velocity of the moving mass have a positive value?
A spring-mass system shown in the diagram below is free to oscillate in the vertical direction. TT unstretched x<0 X - 0 equilibrium position mg - ks - 0 x>0 motion m The position (x) of the spring is positive when the spring is below the equilibrium position. If the block is displaced from its equilibrium position by a distance x, show that its equation of motion is given by: * +x = 0 K Why is it that the equation of motion does not include the force of gravity? In which direction does the velocity of the moving mass have a positive value?
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Transcribed Image Text:A spring-mass system shown in the diagram
below is free to oscillate in the vertical
direction.
I+s
unstretched
x< 0
x- 0
equilibrium
position
mg - ks - 0
x>0
motion
The position (x) of the spring is positive when
the spring is below the equilibrium position. If
the block is displaced from its equilibrium
position by a distance x, show that its
equation of motion is given by:
K
m
Why is it that the equation of motion does not
include the force of gravity?
In which direction does the velocity of the
moving mass have a positive value?
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