Q1. The tape is now wound back into the drum at angular rate. With what speed would the end of the tape move? (Note that our drawing specifies that a positive derivative of implies motion away from the drum. Be careful with your signs. The fact that the tape is being wound back into the drum implies that, and for the end of the tape to move closer to drum, it should be the case that.
Q2. A box is sliding up an incline that makes an angle of 34.7 ° regarding the horizontal. The coefficient of kinetic friction between box and surface of the incline is 0.182. The initial speed of the box at the bottom of the incline is 3.89 m/s. How far does the box travel along the incline before coming to rest?