Question

A body weight B g when placed in one

pan and 18 g 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​

Answer 1

A body weights 8G when placed in one pan and 18g 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 A. B.

I hope this could be the answer to question.

Answer 2

$\huge\mathfrak\blue{Answer:}$

12 g...

$\huge\mathfrak\red{Solution:}$

Call the true mass M.

Taking moments (torques) about the pivot, with M on the 'L1' arm: ML1 = 8L2 (equation 1)

L1/L2 = 8/M (equation 1)

Taking moments (torques) with M on the 'L2' arm:

ML2 = 18L1 M = 18L1/L2

Substitute equation 1:

M = 18(8/M) M² = 144 M = 12g