A 70 lb bag of rice is being pulled by a person by applying force F at an angle q as shown.

The force required to drag the bag is given by:

Where ? = 0.35 is the friction coefficient.

(a) Determine F (q) for q = 5 ^o _, 10 ^o , 15 ^o , 20 ^o , 25 ^o , 30 ^o , 35 ^o ,

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

F . F(0) = 70. sine+cose