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Vertical spring  elevator question 
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#1
Apr2208, 02:18 PM

P: 126

A mass is attached to a spring supported from the ceiling of an elevator. We pull down on the mass and let it to vibrate. If the elevator starts to accelerate(fixed accelerate) upward,
1) How the maximum velocity changes? 2) How the amplitude changes? 3) How the total energy changes? I think the amplitude and maximum velocity does not change. Because the acceleration doesn't change the net force but only slide down the equilibrium point. Am i right? 


#2
Apr2208, 02:36 PM

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#3
Apr2208, 02:40 PM

P: 175

___
M === \_\ /_/ \_\ __ .... /\ .... . .... . moving upward __. 


#4
Apr2208, 02:45 PM

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Vertical spring  elevator question



#5
Apr2208, 03:18 PM

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#6
Apr2208, 10:42 PM

P: 175

__________________ [tex]  \amalg \cdot \cdot \cdot \cdot \mp \cdot \cdot \cdot \cdot  \amalg  [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot \bigcap \cdot \cdot \cdot \cdot  \amalg  [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot M \cdot \cdot \cdot  \amalg  [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot \bigsqcup \cdot \cdot \cdot \cdot  \amalg  [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot  \amalg  \Uparrow Moving Up [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot  \amalg  [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot  \amalg  [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot  \amalg  [/tex] [tex]  \amalg \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot \cdot  \amalg  [/tex] __________________ 


#7
Apr2308, 07:21 AM

P: 126




#8
Apr2308, 08:53 AM

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#9
Apr2308, 09:20 AM

P: 126

I want to understand the effects of adding force and adding mass while it is vibrate. As you are approved, additional force on motion is not change the amplitude and maximum velocity. Now I wonder, how the mass change the amplitude and max velocity?
Now there is not an elevator. The same spring and mass attached to the ceiling of a door instead of an elevator and vibrating. While the mass in bottom position, an additional mass attached to other one suddenly. What happens now? I think, as previous problem, the equilibrium point slides down. The amplitude will not change because net force was not change. But maximum velocity will reduce because period will increase and distance was not change. Am I right now? 


#10
Apr2308, 10:31 AM

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#11
Apr2308, 03:39 PM

P: 126

I mean period proportional with mass. If mass increase period will too. Now, if amplitude the same as before then the distance for quarter period is the same too. So I think, distance the same, if time increased then average velocity must reduce.
As I understood you agree with about maximum velocity reduce. But I can not calculate these. Any suggestion? 


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