Question

I want clear and Step-By-Step Solution​

Answer 1

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Let the two children be sitting on the left arm. They will produce anti-clockwise moment due to their weights about the middle point.

Total Anti-clockwise moment = 30 kgf x 2m + 50kgf x 2.5 m

= 60 kgf m + 125 kgf m = 185 kgf m

To balance it, the man should sit on the right arm (to produce clockwise moment). Let his distance from the middle be x m. Then

Clockwise moment = 75 kgf x X m = 75x kgf m

By the principle of moments,

Anti-clockwise moment = Clockwise moment

185 = 75x

or x = 185/75m

= 2.8 m (on the other side).