(i) Draw an extended free body diagram of a unicycle being pedaled on a gravel path (I have included a starting point for what the unicycle looks like). Assume there is friction from the gravel on the tire and the pedal is fixed at 90 degrees with respect to the lever arm. Also assume as you pedal, the pedal will not hit the ground (Rpedal < Rire, the diagram is not drawn to scale). O™ (ii) Write down Newton's second law for this situation. Label and define any radii, forces, moment of inertia, masses etc so I know what each variable means. Please break each variable down to base components/definitions (i.e. FG = mg). (iii) If we are "spinning out" aka the tire spins and the unicycle does not move forward, does your extended free body diagram change? If so, how? What condition can we no longer use?

(c) Determine the tensions in the string on both sides of the pulley.

(1) centrifugal force is pushing you into the door During that sharp left turn, you found yourself hitting the passenger door. What is the correct description of at is actually happening? (2) the door is exerting a leftward force on you (3) both of the above (4) neither of the above

1. For this series of 4 questions, a rider rides in a car that is connected to a 4-m rod, and rotates about the z axis. The rod of negligible mass is subjected to a constant couple moment of M, and the engine of the car supplies a traction force of F. Neglect the size of the car. You will be asked to solve for different things. Please pay attention: the numbers may change from problem to problem since they are randomized. 3) If the rod is subjected to a constant couple moment of M = 800 N•m, and the engine of the car supplies a traction force of F=11•t N to the wheels, where tis in seconds, what is the magnitude of the angular impulse from the moment and the force to the car-rider system in kg•m²/s from t = 0 to t = 5.7 s? Your answer must include 1 place after the decimal point. Your Answer: Answer M 4 m F