5. Consider a box with a mass of 10 kg on a rough, horizontal surface. Again all forces and motion occur in the xy plane where the x axis represents the horizontal direction and the y axis represents the vertical direction. A force F is applied on the box at an angle of 0 measured counterclockwise with respect to thex axis. (a) Assume that the magnitude of F is 10 N, 0 = 45°, and the box is at rest. Draw the free-body diagram of the box. Show the numerical value of each force. (b) Let us assume that with the conditions given in (a), the box is just about to slip. Calculate the coefficient of static friction. (c) Now assume that the magnitude of F remains 10 N, but 0 = 30°. Will the box slip? Show your steps/Explain your answer.

5. Consider a box with a mass of 10 kg on a rough, horizontal surface. Again all forces and motion occur in the xy plane where the x axis represents the horizontal direction and the y axis represents the vertical direction. A force F is applied on the box at an angle of 0 measured counterclockwise with respect to thex axis. (a) Assume that the magnitude of F is 10 N, 0 = 45°, and the box is at rest. Draw the free-body diagram of the box. Show the numerical value of each force. (b) Let us assume that with the conditions given in (a), the box is just about to slip. Calculate the coefficient of static friction. (c) Now assume that the magnitude of F remains 10 N, but 0 = 30°. Will the box slip? Show your steps/Explain your answer.