Solution Found!
The marble rolls down the track shown in FIGURE P12.75 and
Chapter 12, Problem 12.122(choose chapter or problem)
The marble rolls down the track shown in FIGURE P12.75 and around a loop-the-loop of radius R. The marble has mass m and radius r. What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off?
Questions & Answers
QUESTION:
The marble rolls down the track shown in FIGURE P12.75 and around a loop-the-loop of radius R. The marble has mass m and radius r. What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off?
ANSWER:Step 1 of 5
The loss in potential energy of the rolling ball after rolling to the top of the loop will be,
The kinetic energy gain by linear motion of the ball will be,
The kinetic energy gain by rotational motion of the ball will be,
The gain in potential energy relative to the center of mass will be,