Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_144

5/144 All conditions of the previous problem [5/143] remain the same, except now, rather than rotating about a fixed center, the disk rolls without slipping on the horizontal surface. If the disk has a clockwise angular velocity of 20 rad/s and a counterclockwise angular acceleration of \( 5 \text{ rad/s}^2 \), determine the velocity and acceleration of pin \( A \) relative to the slotted member \( BC \) and the angular velocity and angular acceleration of \( BC \). The value of \( r \) is 200 mm. Neglect the distance from the center of pin \( A \) to the edge of the disk. Reference Problem 5/143: The disk rotates about a fixed axis through point \( O \) with a clockwise angular velocity \( \omega_0 = 20 \text{ rad/s} \) and a counterclockwise angular acceleration \( \alpha_0 = 5 \text{ rad/s}^2 \) at the instant under consideration. The value of \( r \) is 200 mm. Pin \( A \) is fixed to the disk but slides freely within the slotted member \( BC \). Determine the velocity and acceleration of \( A \) relative to slotted member \( BC \) and the angular velocity and angular acceleration of \( BC \).