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   Author  Topic: Prisms (some math)  (Read 7482 times)
aero_guy
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Re: Prisms (some math)  
« Reply #25 on: Sep 17th, 2003, 1:01pm »
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It looked like people were making some very odd things out of this problem.  My analysis gives the same diagram as James's.
 
If alpha=alpha', then the rotational problem already works out, as well as horizontal forces.  We just need to show that it works out for vertical forces.  Hence we have:

Ffcos([alpha])-Fsin([alpha])-mg/2=0
 
using Ff[smiley=leqq.gif][mu]F
 
so,
 
F[smiley=geqq.gif]mg/2/([mu]cos([alpha])-sin([alpha]))

Which is the solution to part 2.  For part 1 we notice from the above equation:

[mu]cos([alpha])-sin([alpha])>0
 
or
 
[mu]>tan([alpha])

thus our answer is:

[alpha]<atan([mu])
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