Answer:
The system is still balanced
Explanation:
If we suppose that the boy weights M and the girl m, and are balanced at distances L1 and L2 from the pivot point respectively, thy will be balanced if the resultant torque of all the farces from the pivot pint is cero:
(1)
now they moved to distances (L1)/2 and (L2)/2, the resultant torque will be:
(2)
1/2 can be taken out as a common factor:
(3)
As the the inside of the parenthesis equals equation (1) that equals zero, hte whole equiation equals zero:
(3)
So the system is still balanced