Calculating the Upward Force Necessary to Balance a Plank

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SUMMARY

The discussion focuses on calculating the upward force required to balance a uniform plank supported by a hinge at one end. To maintain equilibrium, the sum of all forces and the sum of all torques acting on the plank must equal zero. The upward force exerted at the free end of the plank is determined to be equal to the weight of the plank multiplied by the ratio of the distance from the hinge to the point of force application over the total length of the plank. This relationship is crucial for understanding static equilibrium in physics.

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gtaylor
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A uniform plank us supported by a hinge at one end. What is the magnitude (expressed as a multiple of the plank's weight Fg) of the upward force you have to exert on the other end to keep the plank at rest and level?
 
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The sum of all the forces must be zero and the sum of all the torques must be zero. Go for it.
 

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