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3 years ago

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The plank is 5.1 meters long and has a mass of 9.2 kg, ack has a mass of 93.6 kg, and Diane has a mass of 64.2 kg. Assuming Dian

e sits at one end of the plank, how far from his end of the plank should Jack sit for the two of them to be perfectly balanced?

1 answer:

kodGreya [7K]3 years ago

8 0

Answer:

The answer is 0.8 m

Explanation:

According the attached diagram, if we take the momentum in the point 0:

$\frac{m_{D}*5.1 }{2} =m_{J} *X$

Where

mD = mass of Diane = 64.2 kg

mJ = mass of Jack = 93.6 kg

Replacing:

$X=\frac{\frac{64.2*5.1}{2} }{93.6} =1.75m$

$\frac{L}{2} -X=Y=\frac{5.1}{2} -1.75\\Y=0.8m$

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