more structures class 19

# more structures class 19 - inclined axes, limits on...

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α 30 o M cans, each of weight W Determine the maximum number of cans that can be stacked on the smooth surfaces shown as a function of the angle α of the left hand surface before the stack loses equilibrium and the lowest can is kicked out. Let α range from 0o to 55o 1 2 M 3 inclined axes, limits on equilibrium

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30 α M 1 2 M-1 cans W W W F x 30 o N1 60 - α F 30 o W N2 y α
function M =cans(a) arg = (60- a)*pi/180; M = floor(sqrt(3)./tan(arg)); N1 = 0 when M must be an integer so need to round values down to nearest integer we can evaluate and plot this easily in MATLAB. First we define and save a function called cans:

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>> a =linspace(0, 55, 1000); % the angle alpha in degrees >> m=cans(a); >> plot(a, m) 0 1 0 2 0 3 0 4 0 5 0 6 0 0 2 4 6 8 1 0 1 2 1 4 1 6 1 8 2 0 α M then we plot the number of cans versus angle

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## This note was uploaded on 09/07/2011 for the course EM 274 taught by Professor Boylan during the Fall '08 term at Iowa State.

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more structures class 19 - inclined axes, limits on...

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