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VincentweZu
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Homework Statement
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
Homework Equations
Static Equilibrium: ƩT = 0
T = Frsinθ
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.