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  4. A body weighs 6 gms when placed in one pan and 24 gms when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, the true weight of the body is :

Q. A body weighs when placed in one pan and when placed on the other pan of a false balance. If the beam is horizontal when both the pans are empty, the true weight of the body is :

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Solution:

Let length of beam is ' ', and the two pans are at a distance of ' ' and ' ' from the hinged point. If true weight of body is , then
...(1)
...(2)
2Dividing (1) by (2), we get


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