A uniform plank is 4 m long and weighs 77 N. It is balanced on a sawhorse at its center. An additional 162 N weight is now placed on the left end of the plank. To keep the plank balanced, it must be moved what distance to the right?
question archive A uniform plank is 4 m long and weighs 77 N
A uniform plank is 4 m long and weighs 77 N
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Answer:
If the 162 N weight is being placed at the end of the plank, then it's being placed 4.0 m from the center of mass. Assume that you have to move the support x meters to the right. It will then be x meters from the center of mass and 4-x meters from the 160 N weight. The torques must balance, so
(77N)x = (162N)(4 - x)
x=2.71m
