Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_28

5/28 The wheel of radius \(r\) rolls without slipping, and its center \(O\) has a constant velocity \(v_O\) to the right. Determine expressions for the magnitudes of the velocity \(v\) and acceleration \(a\) of point \(A\) on the rim by differentiating its \(x\)- and \(y\)-coordinates. Represent your results graphically as vectors on your sketch and show that \(v\) is the vector sum of two vectors, each of which has a magnitude \(v_O\).