To find: The largest weight required to balance the plank.
The largest weight required to balance the plank is 1200 lb.
The length of plank is 30 ft with 5 ft of the plank projection over the edge.
The weight of worker is 240 lb sits at the end of the plank.
Formula used: Law of the lever
The product of the weight and its distance from the fulcrum must be same on each side,
Let the largest weight required to balance the plank be x.
Tabulate the given information into the language of algebra.
|In words||In algebra|
|Product of weight and distance||5x|
Model the equation for the above information.
Simplify the above equation for x.
Thus, the largest weight required to balance the plank is 1200 lb.
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