(adsbygoogle = window.adsbygoogle || []).push({}); 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Center of Gravity Problem

**Physics Forums | Science Articles, Homework Help, Discussion**