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AlexFokin [52]
3 years ago
7

weight A weighs 50 pounds. weight B weighs 100 pounds. if A is placed 6 feet from the pivot, how far must B be placed from the p

ivot in order for the bar to achieve balance?
Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

To achieve balance, the momentum on both sides must be equal so that it cancels out. Momentum is simply the product of mass and distance, therefore:

 

50 pounds * 6 ft = 100 pounds * X

X = 3 ft

 

Hence B must be placed 3 ft from the pivot.

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Answer:

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Step-by-step explanation:

Let’s solve the system using substitution. First we can set the equations equal to each other:

x-3= -2x +3

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Now that we have x, we can plug it back into one of the original equations to get y

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You could stop here.  But it'd make more sense to continue, since x^2-16y^2 is easy to factor:

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