= ________N Your response differs from the correct answer by more than 10%. Doub

Question

= ________N

Your response differs from the correct answer by more than 10%. Double check your calculations. N

FSam

= ________N

Your response differs from the correct answer by more than 10%. Double check your calculations. N

FJoe = ________N A uniform beam of length L = 7.95 m and weight 4.65 10^2 N is carried by two workers, Sam and Joe, as shown in the figure below. Determine the force that each person exerts on the beam. FSam = ________N Your response differs from the correct answer by more than 10%. Double check your calculations. N FJoe = ________N

Explanation / Answer

we consider both vertical and rotation equilibrium

the total vertical forces of Sam and Joe (S, J) must equal the weight of the beam, so we have

S+J=465

the beam is uniform, so its midpoint and center of mass are at the 3.975m mark

we can sum torques around any convenient point, let's choose the center of gravity since the torque due to the weight around that point is zero

so we have that the torque of Sam + torque of Joe =0

torque of Sam = Sam's force * Sam's distance from the midoing
torque of Sam=S*1
torque of Joe = J*2

these must be equal in magnitude and opposite in direction, so we can write

J=S/2 = 0.5S

substitute into vertical equilibrium:

S+0.5S=465
S=310
J=155

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