Torque, Equilibrium, and Center of Mass

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Lyphta
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Homework Statement


While standing on a long board resting on a scaffold, a 70 kg painter paints the side of a house. If the mass of the board is 15 kg, how close to end can the painter stand without tipping the board over?
http://img146.imageshack.us/my.php?image=physicssl9.jpg


Homework Equations


[tex]\tau[/tex]painter = [tex]\tau[/tex]board


The Attempt at a Solution


[tex]\tau[/tex]painter = [tex]\tau[/tex]board
(rpainter) (70kg) = (1.5 m) (15kg)
70r = 22.5
r=.32 ft.

the answer was 1.2 m from left end of board.
 
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