In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes horizontal.  Both the empty pans of the balance are of equal mass.  Which of the following statements is correct ?

  • Option 1)

     Left arm is longer than the right arm

  • Option 2)

     Both the arms are of same length

  • Option 3)

     Left arm is shorter than the right arm

  • Option 4)

    Every object that is weighed using this balance appears lighter than its actual weight.

 

Answers (1)

As we learnt in

Point of application of force -

Point at which if net force is assumed to be acting then it will produce the same effect of both translation & rotation.

-

 

 For balance 

Anticlockwise Moment = Clockwise Moment

i.e. Load  \times load arm = effect  \times effort arm

When 5 mg weight is placed, load arm shifts to left side, hence left arm becomes shorter than right arm.


Option 1)

 Left arm is longer than the right arm

This is an incorrect option.

Option 2)

 Both the arms are of same length

This is an incorrect option.

Option 3)

 Left arm is shorter than the right arm

This is the correct option.

Option 4)

Every object that is weighed using this balance appears lighter than its actual weight.

This is an incorrect option.

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