Two people sit on opposite sides of a uniform board of length L . One person, of

Question

Two people sit on opposite sides of a uniform board of length L. One person, of mass m1= 48.0 kg, sits at a point 1.90 m to the left of the fulcrum. The fulcrum is located at the center of the board. The other person, of mass 43.0 kg, sits at a point a distance x2 to the right of the fulcrum.

NOTE: "Uniform board" means that the center of gravity of the board is located at the geometric center of the board. In other words, you may consider all of its mass to be concentrated at a point in the center of the board. If you choose the rotational origin to be at the fulcrum, the torque due to the weight of the board will be zero, since the distance from the axis of rotation to the force vector for the weight of the board is zero.) Two people sit on opposite sides of a uniform board of length L. One person, of mass m1= 48.0 kg, sits at a point 1.90 m to the left of the fulcrum. The fulcrum is located at the center of the board. The other person, of mass 43.0 kg, sits at a point a distance x2 to the right of the fulcrum. "Uniform board" means that the center of gravity of the board is located at the geometric center of the board. In other words, you may consider all of its mass to be concentrated at a point in the center of the board. If you choose the rotational origin to be at the fulcrum, the torque due to the weight of the board will be zero, since the distance from the axis of rotation to the force vector for the weight of the board is zero.)

Explanation / Answer

m1*g*l1=m2*g*l2

cancel g

48*1.90 = l2*43

l2 = 2.12

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