Lecture 4, #2

PROBLEM DESCRIPTION

A motorcycle stunt driver (mass of driver and cycle combined is m) is attempting a daring loop the loop on a vertical circular track of radius R.
(a) What is the minimum speed required in order for the stunt driver to just barely make it all the way around the track at the top of the loop?
(b) Assuming the stunt driver maintains this speed all the way around the loop, determine the magnitude and direction of the normal force acting on him when he is at the bottom of the loop.