Question

Suppose a crate of mass 3.0 kg is placed on the plank in the figure below at a distance x = 8.1 m from the left end. If the plank has a mass of 12 kg, find the forces exerted by the two supports on the plank (left support and right support).

3.0 m .0 m

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Answer #1

Let the reaction forces be R an N
Force balance, 3g + 12g = R + N .. (1)
moment balance about left pivot, 3*(8.1-3) + 12(6 - 3) = N*7
N = 7.3285
and R = 15g - N = 139.671 N

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