Problema Solution
two children weighing 65 pounds and 45 pounds respectively are on the opposite ends of an 11 foot board. where must the point of support be placed if the board is to balance? neglect the weight of the board.
Answer provided by our tutors
m1*d1 = m2*d2
In our case we have:
m1 = 65 lbs
m2 = 45 lbs
d1 + d2 = 11 ft
d2 = 11 - d1
Plug the values into m1*d1 = m2*d2:
65*d1 = 45*(11 - d1)
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click here to see the equation solved for d1
........
d1 = 4.5 ft
The point must be placed 4.5 feet from the end where the 65 pounds child positioned.