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Center of Gravity Problem

by iwonde
Tags: gravity
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iwonde
#1
Mar9-08, 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 2.00-m, 25.0-kg 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 x-cg equal to. Please help.
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Feldoh
#2
Mar9-08, 09:26 PM
P: 1,345
It's equal to whatever position you called the fulcrum


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