Meriam, Kraige & Bolton — Plane Kinematics of Rigid Bodies: Problem 5_11

5/11 In order to test an intentionally weak adhesive, the bottom of the small 0.1-lb block is coated with adhesive and then the block is pressed onto the turntable with a known force. The turntable starts from rest at time \( t = 0 \) and uniformly accelerates with \( \alpha = 2 \text{ rad/sec}^2 \). If the adhesive fails at exactly \( t = 3 \text{ sec} \), determine the ultimate shear force which the adhesive supports. What is the angular displacement of the turntable at the time of failure?