If u have a bridge supported at both ends with consistent mass with a weight of

Question

If u have a bridge supported at both ends with consistent mass with a weight of 420N and a dog with the weight of 200N walks 3/4 of the way from one end, point A, to the other end, point B. What will the forces on both ends be. Bridge is in equilibrium If u have a bridge supported at both ends with consistent mass with a weight of 420N and a dog with the weight of 200N walks 3/4 of the way from one end, point A, to the other end, point B. What will the forces on both ends be. Bridge is in equilibrium

Explanation / Answer

let the force at end A is FA

force at the end is FB

balancing moment about A ,

FB * L - 420 * (L/2) - 200 * (3L/4) = 0

solving for FB

FB = 360 N

NOw , balacing net force in y - direction

FA + FB = 200 + 420

FA + 360 = 620

FA = 260 N

the forces at the ends are 260 N and 360 N

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