Michael turns his bicycle upside down and studies the back w…

Michael turns his bicycle upside down and studies the back wheel as he turns the pedal in such a way that it causes the wheel to turn about a fixed axis, neither speeding up nor slowing down. If Michael considers a single point on the bicycle wheel as it turns, how would the linear and angular velocities of that point compare?

It is past midnight and Greg is sliding down a rope from his…

It is past midnight and Greg is sliding down a rope from his third floor window to meet his friend in order to “work on physics homework.” As he slides down the rope faster and faster, he becomes worried and gradually tightens his grip on the rope. Thus, the tension in the rope slowly increases, and when it becomes equal to Greg’s weight, ________.