Energy stored while loading a spring


by nokia8650
Tags: energy, loading, spring, stored
nokia8650
nokia8650 is offline
#1
May16-08, 02:24 PM
P: 228
I am doing a question which asks to plot a graph of Force vs. extension; it then asks how can the graph be used to estimate the energy stored during the loading process. I thought that this would simple be the area under the graph, however the markscheme says "the area under the graph at any given point." Can anyone explain the reason for this please?

Thanks
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lzkelley
lzkelley is offline
#2
May16-08, 02:37 PM
P: 277
This means the area under the graph up to the given point. For instance if you have a graph that looks like a triangle, one corner at the origin, sloping up to some maximum x and maximum y; if you want to know the energy stored when the extension (or compression) is at x/2 (half the maximum) you only want to know the area up till that point, i.e. 1/8*x*y
nokia8650
nokia8650 is offline
#3
May16-08, 04:41 PM
P: 228
thanks, where did you get 1/8 xy from? wouldnt it be 1/4 xy?

Thanks

lzkelley
lzkelley is offline
#4
May17-08, 03:13 AM
P: 277

Energy stored while loading a spring


np,
1/2*base*height right? base = x/2 ; height = y/2 --> 1/8xy
nokia8650
nokia8650 is offline
#5
May18-08, 06:32 AM
P: 228
Yes, my mistake. Thank you.


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