A uniform wooden plank of mass 15 kg rests on two supports as shown in the figur

Question

A uniform wooden plank of mass 15 kg rests on two supports as shown in the figure below. The plank is at rest, so it is in translational equilibrium and rotational equilibrium. (Let L1 = 1.6 m, L2 = 7.4 m, and L3 = 3.2 m.) (The measurements "L" are arranged from left to right as L3, L2, L1. (The 2 rests lie between 1) L3 and L2 and 2) L2 and L1)) (A) Choose the left-hand support for the pivot point and calculate the magnitude of torque from each of the forces. (B) Express the conditions for translational and rotational equilibrium. (Use the following as necessary: FR for the force supplied by the right support, FP for the force supplied by the plank, FL for the force supplied by the left support, ?R for the torque due to the right support, ?P for the torque due to the plank, and ?L for the torque due to the left support. Indicate the direction with the sign of your answer.)

Explanation / Answer

Fr + Fl =15*9.8=147 N moment about left support 15*9.8*6.1=Fr*7.4 Fr=121.175 so Fl = 25.82 torque due to Fl about left support=0 torque due to Fr about left support=896.69 anti clock wise torque due to mg about left support= 869.69 clock wise

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