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mezya [45]
2 years ago
10

Billy Bob and Bob Bob are standing on a plank that is 9.0 m long and has mass 100 kg, that has supports at the 2 m and 5 m marks

. Billy Bob has mass 50 kg and is standing on the far left side, while Bob Bob has mass 90 kg and is walking toward the far right side. Will he make it all the way to the end without tipping the plank?

Physics
1 answer:
Liono4ka [1.6K]2 years ago
7 0

Answer:

No he will not make it all the way

Explanation:

In the attached figure we can see the plank will turn only of the turning moment will be greater than the restoring moment.

balancing moment is created by weight of the plank which acts at the center of the plank thus we have

taking moments about the support A we have

Balancing moment = M_{balancing}=100\times 2.5\times 9.81=2452.5Nm

The disturbing moment created by bob equals

M_{disturbing 1}=50\times 2\times 9.81=981Nm

The maximum disturbing moment created by bob occurs when he is at the far left side equaling

M_{disturbing 2}=90\times 2\times 9.81=1765.8Nm

Thus the maximum disturbing moment is sum of the above 2 moments

M_{max}=1765.8+981=2746.8Nm which is highly greater than the stabling  moment thus he will not make it.

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