A hiker, who weighs 985N, is strolling through the woods andcrosses a small hori

Question

A hiker, who weighs 985N, is strolling through the woods andcrosses a small horizoltal bridge. The bridge is uniform, weighs3610N, and rests on two concrete supports, one at each end. Hestops one-fifth of the way along the bridge. What is the magnitudeof yhe force that a concrete support exerts on the bridge (a) atthe near end, and (b) at the far end? A hiker, who weighs 985N, is strolling through the woods andcrosses a small horizoltal bridge. The bridge is uniform, weighs3610N, and rests on two concrete supports, one at each end. Hestops one-fifth of the way along the bridge. What is the magnitudeof yhe force that a concrete support exerts on the bridge (a) atthe near end, and (b) at the far end?

Explanation / Answer

1) Fg = force of bridge = 3610 N D1 be the distance from the center of bridge to post 2 =2.5X Fh = force of hiker = 985 N D2 be the distance from the hiker to post 2 = 4X Fp1 = force of post1 (support) D3 be the distance from post 1 to post 2 = 5X T = FgD1 + Fh+D2 -Fp1D3 0 = (3610)(2.5X) + (985)(4X) - Fp1(5X) Fp1 = ____ N 2) Fg = force of bridge = 3610 N Dg be the distance from the center of bridge to post 1 =2.5X Fh = force of hiker = 985 N D5 be the distance from the hiker to post 1 = X Fp2 = force of post2 (support) D6 be the distance from post 1 to post 2 = 5X T = FgDg + Fh+D5 -Fp2D6 0 = (3610)(2.5X) + (985)(X) - Fp2(5) Fp2 = ____ N

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