300 lb door is at rest when the man M starts pushing it to the right. If the width and height of the door are both ( = 10 ft, its center of mass G is at its geometric center, and Du an pushes at a height h = 4 ft, determine the horizontal force with which he must Toll he is to move the door 10 ft to the right in 3 s, and determine the reactions at the FigA and B.

Fig: 1