Problem 3: A homogeneous container (mass mc) rests on a horizontal surface. The coefficient of static friction between the container and the surface is c. The person is pushing against the container using a force F under an angle of a. a) Determine the smallest force F that is necessary to move the container. b) Which minimum mass of the person is necessary, if the person is not supposed to slip on the surface? Consider a coefficient of static friction M between the soles of the shoes and the surface. Given: mc = 30 kg g= 10 m/s = 30 Hc = 0,25 HM = 0,2 DEFY 0:0= F-sings tNp- mpg=0 {Fx=0:0= F "Los 36 -Rp. F Fgf Sin 35 5374830 Np. mpg