PROBLEM 4 1 | Background: Rolling without slipping refers to a no slip Vol common situation in rigid body motion where two objects are in contact with each other and there is sufficient friction acting at the point of ailte contact such that there is no relative motion (i.e., no slipping or sliding) between the two objects at this point. This has two important consequences: a) the velocities of the contact point on each object must be the same. b) the tangential accelerations of the contact point on each object must be the same. The gear train example from lecture shows a case where each gear is rolling without slipping over its neighbor (\"fully meshed\"); this meant that the common contact point on each gear had the same velocity. (The contact points also had the same tangential acceleration, but we did not use that information in the example.) Given: Cylinder O (radius = 0.125 m) is currently rolling without slipping over the ground and a movable plate A. Plate A is moving to the right at a speed v, = 1.50 m/s at this instant; it is also accelerating to the right with a magnitude a4 = 0.20 m/s%. The ground is not moving. Find: For point B (currently located on the edge of the cylinder at the same height above the ground as 0), what are vyand a;? Hint: Remember that centripetal acceleration always points in a radial direction, not a tangential direction