5 Consider a wheel with radius R and mass M Suppose the mass is nearly uniformly distributed such that we can approximate the wheel as a disk with a uniform mass distribution. A force F 1s applied to the wheel and F has a magnitude equal to three quarters the weight of the wheel (F: 3Mg/4) R/2F'B a) Consider two cases. First, the force F is applied a distance R/ 2 below the center of the wheel (point A in the gure) and F points horizontally to the right. Second, F is applied a distance of R/ 2 to the right of the center of the wheel (point B in the gure) and F points vertically upwards If there is no friction between the wheel and the oor, what is the acceleration of the center of mass of the wheel and the angular acceleration around the center of mass of the wheel? b) Suppose the wheel is initially stationary when the force F is rst applied After F has been applied for a while, will the center of mass of the wheel move left or right? Will the wheel rotate clockwise or counterclockwise (in the plane of the paper) around its center of mass? Answer these questions for both of the two cases from part a). c) Now again consider the two cases from part a), but this time there is friction between the oor and the wheel. Let's assume the wheel always rolls without slipping. In this case, what is the acceleration of the center of mass of the wheel and the angular acceleration around the center of mass of the wheel? Note that you will need to be extra careful with your signs and you will need to nd a relationship between fig M and (12. d) Answer the questions from part b) but in relation to the scenario of part c) (the cases with friction)