1. Centripetal force and angular kinematics.

A box (3.8kg) is placed on a large turntable of radius 0.385m. The coefficient of static friction between the box and the turntable is 0.87.

a. What is the maximum rate of rotation the turntable can be at without the box slipping? You may leave this answer in rad/s. As always, remember to start with your FBD.

b. If the turntable started from rest, and has an angular acceleration of 0.215rad/s², after what time will the box start to slip? How many rotations does the turntable go through before this happens?