P3(lpts): A solid uniform plank of uniform density and a mass of lDDkg is balanced on a pivot as shown below. The plank has a length of L = 2m, and the pivot sits at a distance of Li'4 from the center of the plank. Two cables under tension support the plank, which is stationary, and not rotating. Answer the following: T1 = 50cm a. Draw the FED for the plank. b. Find the angle 3 such that the system is balanced. c. Calculate the normal force of the pivot on the plank. (hint: you only need to nd the upward component of the normal force] d. If the cable on the right was suddenly cut, what would the angular acceleration of the plank be? Be sure to indicate magnitude and direction. (If you cannot gure out the moment of inertia, leave it as I)