Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_127

5/127 The disk rolls without slipping on the horizontal surface, and at the instant represented, the center \(O\) has the velocity and acceleration shown in the figure. For this instant, the particle \(A\) has the indicated speed \(u\) and time rate of change of speed \(\dot{u}\), both relative to the disk. Determine the absolute velocity and acceleration of particle \(A\). Given data: Disk radius \(R = 0.30 \text{ m}\) Slot radius \(r = 0.24 \text{ m}\) Velocity of center \(O\), \(v_O = 3 \text{ m/s}\) to the right Acceleration of center \(O\), \(a_O = 5 \text{ m/s}^2\) to the right Relative speed of \(A\), \(u = 2 \text{ m/s}\) to the right Relative acceleration of \(A\), \(\dot{u} = 7 \text{ m/s}^2\) to the left