Equilibrium 15833

Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium?
How can this be calculated with a single equation? And calculate the rest.

Correct answer:

a =  2 m
b =  1.6 m

Step-by-step explanation:

M1=M2 F1 a = F2 b a+b = 3.6  m m1 g a = m2 g b m1=40 kg m2=50 kg  m1 a=m2 (3.6a) 40 a=50 (3.6a)  90a=180  a=90180=2  a=2=2 m
b=3.6a=3.62=1.6 m



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