A uniform wooden plank of mass 12 kg rests on two supports as shown in Figure P8.26. The...

A uniform wooden plank of mass 12 kg rests on two supports as shown in Figure P8.26. The plank is at rest, so it is in translational equilibrium and rotational equilibrium. (a) Make a sketch showing all the forces on the plank. Be sure to show where the forces act. (b) Choose the left-hand support for the pivot point and calculate the torque from each of the forces in part (a). (c) Express the conditions for translational and rotational equilibrium. (d) Solve to find the forces exerted by the two supports on the plank.