Four masses (m= 500g) are at the corners of a very thin rigid sheet (ignore the mass of the sheet), with sides L= 25.0 cm. F1= 2.50 N, F2= 4.25 N. (a) Find the angular acceleration about the center O If F1 is the only force being applied.(b) Find the angular acceleration about the center O for F2is the only force being applied.(c) Find the angular acceleration about the center O if both forces are applied at the same time.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)