Chapter 9, Problem 13 A hiker, who weighs 603 N, is strolling through the woods

Question

Chapter 9, Problem 13 A hiker, who weighs 603 N, is strolling through the woods andcrosses a small horizontal bridge. The bridge is uniform, weighs3220 N, and rests on two concrete supports, one on each end. Hestops 1/4 of the way along the bridge. What is the magnitude of theforce that a concrete support exerts on the bridge(a) at the near end and (b) atthe far end? Chapter 9, Problem 13 A hiker, who weighs 603 N, is strolling through the woods andcrosses a small horizontal bridge. The bridge is uniform, weighs3220 N, and rests on two concrete supports, one on each end. Hestops 1/4 of the way along the bridge. What is the magnitude of theforce that a concrete support exerts on the bridge(a) at the near end and (b) atthe far end?

Explanation / Answer

When the system is in equilibriumwe have
            = 0
So about far end we have
          = (603) (3L/4) + (3220) (L/2) - (F) (L) = 0
==>        Ffar = 452.25 + 1610 = 2062.25 N
For Fnear we have
           603 +3220 = Fnear + 2062.25
==>   Fnear = 1760.75 N

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