Posted by Megan on Friday, March 4, 2011 at 4:03pm.
sum moments about the center.
5.46/2 * 17.7g-272N*d=0 the sum of moments about any point equals zero. d is the distance away from the child, on the opposide side.
Since the board is balanced at the center, the weight of the board does not contribute a moment.
You must balance the moment (force x distance) applied by the parent with the moment due to the weight of the child.
272*X = (17.7 kg)*g*(2.73 m)
Solve for X in meters
Note that the child's mass has to be multiplied by g to get the weight force in Newtons.
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