A cord is wrapped around the rim of a solid uniform wheel (I = 1/2MR2) that is 0.250 m in radius and has a mass of 9.20 kg. A steady horizontal pull of 40.0 N to the right is exerted on the cord, pulling it off tangentially from the wheel. The wheel is mounted on frictionless bearings on a horizontal axle through its center.

A) Compute the angular acceleration of the wheel and the linear acceleration of the part of the cord that has already been pulled off the wheel.

B) Find the magnitude and direction of the force that the axle exerts on the wheel.

C) Which of the answers in parts (a) and (b) would change if the pull were upward instead of horizontal? Justify your answer.

D) If the wheel is not rotating initially, and if the applied force on the cord was to the right, as in part (a), determine:

i. The rotational kinetic energy of the wheel after 3.0 seconds

ii. The angular momentum of the wheel after 3.0 seconds