# Homework Help: ENGR MECHANICS STATICS PROBLEM (summation of forces)

1. Jan 29, 2008

### savcicEX

1. The problem statement, all variables and given/known data
The problem is the following;
Three smooth homogeneous cylinders A, B, and C are stacked in a V-shaped trough. Each cylinder has a diameter of 500 mm and a mass of 100kg. Determine the forces exerted on cylinder A by the inclined surfaces.

2. Relevant equations
This problem requires you to sum the forces in the X and the Y direction and solve for the 2 normal forces. my problem is that I end up with an equation with 3 variables. A diagram drawn on paint is attached.

3. The attempt at a solution
I first tried to draw a FDB of cylinder A exclusively (Fb, Fc, N1 & N2) but ended up with an equation with 3 variables
0.366Fb - 1.366 Fc +1.366N1=981N (my N1 is on the left side of cylinder A. N2 cancelled out).
Then I tried to study cyl. B to later equal the forces but got 0=-566.38 so I gave up that route.
A problem with the way I tried to solve this problem is that I didnt take into consideration the diameter at all.

How would you go on solving this problem. btw the answers are N1=1304 N, N2=829 N

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