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Center of Gravity Problemby iwonde
Tags: gravity 
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#1
Mar908, 09:07 PM

P: 31

1. The problem statement, all variables and given/known data
A box of negligible mass rests at the left end of a 2.00m, 25.0kg plank (see image). The width of the box is 75.0 cm, and sand is to be distributed uniformly throughout it. The center of gravity of the nonuniform plank is 50.0 cm from the right end. What mass of sand should be put into the box so that the plank balances horizontally on a fulcrum placed just below its midpoint? 2. Relevant equations x_cg = (sum of (the masses x position)) / sum of the masses 3. The attempt at a solution m_p = mass of plank m_s = mass of sand x_cg= (m_p(0)+m_s(0.25))/(25+m_s) I don't know what to set the equation of xcg equal to. Please help. 


#2
Mar908, 09:26 PM

P: 1,345

It's equal to whatever position you called the fulcrum



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