6. A 70 lb-bag of rice is being pulled by a per- son by applying a force F at an angle e as shown. The force required to drag the bag is given by: F(0)=. sin cos where = 0.35 is the friction coefficient.

(a) Determine F(0) for 85, 10, 15, 20, 25, 30, and 35.

(b) Determine the angle 0 where Fis minimum. Do it by creating a vector with elements ranging from 5 to 35 and spacing of 0.01. Calculate F for each value of 0 and then find the maximum F and associated MATLAB's built-in function max.