A 20-kg flat, uniform plank of length 8.0m is horizontally supported by two pivo

Question

A 20-kg flat, uniform plank of length 8.0m is horizontally supported by two pivots at the ends. A 70-kg construction worker is standing halfway between the center of the plank and the right-end pivot as shown in the diagram above. If the system is to stay in total equilibrium, find the force that each pivot exerts on the plank. Include the following in your solution please:

a.) A free-body diagram that shows all of the forces acting on the plank

b.) A rotational axis chosen at a "convenient" point.

c.) A static-equilibrium equation for the sum of the forces

d.) A rotational equilibrium equation for the sum of the torques

e.) A mathematical solution to the equations that yields the forces that the pivots exert on the plank

Explanation / Answer

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