In order to test an intentionally weak adhesive, the bottom of the small 0.3-kg block is...

In order to test an intentionally weak adhesive, the bottom of the small 0.3-kg 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 . If the adhesive fails at exactly t = 3s, determine the ultimate shear force which the adhesive supports. What is the angular displacement of the turntable at the time of failure?