(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A hiker, who weighs 985 N is strolling through the woods and crosses a small horizontal bridge. the bridge is uniform, weighs 3610 N, and rests on two concrete supports, one at each end. he stops one - fifth of the way along the bridge. What is the magnitude of the force that a concrete support exerts on the bridge:

a) at the near end and

b) at the far end

Answer to a) 2590, b) 2010

2. Relevant equations

Static Equilibrium: ƩT = 0

T = Frsinθ

3. The attempt at a solution

Took opposite support as pivot point such that Fn x r is the CCW torque where r is the length of bridge

Expressed distance from the pivot point of each force in terms of r

Wrote net torque equation, crossed out r from both sides

Solved for Fn

a) Fn = 985 x 4/5 + 3610 x 1/2

Fn = 2593 N

b) Fn = 985 x 1/5 + 3610 x 1/2

Fn = 2002 N

I am not sure whether or not my approach to this problem is correct.

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# Static Equilibrium and Torque Homework Question

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