Two people carry a heavy electric motor by placing it on a light board 2.70m lon

Question

Two people carry a heavy electric motor by placing it on a light board 2.70m long. One person lifts at one end with a force of 360N , and the other lifts the opposite end with a force of 610N .

Part A

What is the weight of the motor?

970

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Correct

Part B

Where along the board is its center of gravity located?

1.70

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Correct

Part C

Suppose the board is not light but weighs 180N , with its center of gravity at its center, and the two people each exert the same forces as before. What is the weight of the motor in this case?

790

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Correct

Part D

Where is its center of gravity located?

1.6

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Incorrect PART D PLEASE

Two people carry a heavy electric motor by placing it on a light board 2.70m long. One person lifts at one end with a force of 360N , and the other lifts the opposite end with a force of 610N .

Part A

What is the weight of the motor?

w =

970

  N  

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Correct

Part B

Where along the board is its center of gravity located?

x =

1.70

  m from the end where the 360-N force is applied

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Correct

Part C

Suppose the board is not light but weighs 180N , with its center of gravity at its center, and the two people each exert the same forces as before. What is the weight of the motor in this case?

w =

790

  N  

SubmitMy AnswersGive Up

Correct

Part D

Where is its center of gravity located?

x=

1.6

  m from the end where the 360-N force is applied

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Incorrect PART D PLEASE

Explanation / Answer

Now , for the centre of gravity

let the distance is x from the 360 N end

as the net weight ,W = 970 N

balacing the torque about the 360 N end

610 * 2.7 - 970 * x = 0

x = 1.70 m

the centre of gravity is located at x = 1.70 m

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