(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Ok, my problem has 3 smooth homogeneous cylinders(A,B,C), which are stacked in a V shaped trough.(the cylinders...look more like circles) are also all touching eachother and each is touching a surface of the trough. The trough angles are Left = 30 deg and right = 45 deg. Each cylinder has a diameter of 500mm and a mass of 100kg. Find the force exerted on cylinder A by the inclined surfaces. From Left to Right....they are labeled B,A,C.

2. Relevant equations

None yet.....well, maybe W=mg

3. The attempt at a solution

Ok, so I drew a free body diagram, separating each cylinder. I've got each force drawn out...they include the forces normal to the surface(Nb, NaL(left), NaR(right), Nc) I've also drawn in the force pointing strait down on each cylinder, of 100kg. And, finally each cylinder has a force pointing in the direction of the cylinder which touches it(they are equal and opposite) called(Nab, Nac,etc).

So, starting on cylinder B.

Nbsin30 + Nabcos30 = 0

Nbcos30 + Nabsin30 -100(9.8) = 0

I'm not sure how to solve these equations....or, what to do next(I'm sure its the same for Nc....but I don't know what to do for Na).

Thanks,

Brad View attachment cylinders.bmp

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# Homework Help: Cylinders in a V shape

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