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

The pirate is walking the plank. If the plank weighs 500 N and the weight acts at

the centre of the plank, how far (distance x) can our pirate, who weighs 780 N, walk

before the plank tips and he falls. All dimensions are in meters. ANS: 0.769 m

(Look at picture)

2. Relevant equations

Sum of forces in X =0

Sum of forces in Y=0

Sum of moment(about a point) = 0

3. The attempt at a solution

I can get pretty far in the solving, but since there are 4 unknowns in the problem(and you can only solve for 3 unknowns in 2D I ran into a problem). The Pin support has 2 reactions and the other support is 1 normal force. Thanks for any help.

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# 2D Equilibrium of rigid body

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