Marble Loop The Loop Physics

The loop is tricky.

Marble loop the loop physics.

Loop the loop with a little physics. First we need to know the minimum speed at the top of the loop for the mass to remain on the track. A loop the loop track consists of an incline that leads into a circular loop of radius r. For ease we ll ignore friction.

We are going to find the minimum speed you require to complete the loop we ll do this via an energy argument. What is the minimum height that a mass can be released from rest and still make it around the loop without falling off. Build a miniature roller coaster and see if you can get marbles to go the distance and upside down. Chris got asked how fast you would need to be going to complete a loop the loop this is what we got.

First we need to find the minimum speed required at the top of the loop. First the center of the marble doesn t move from 0 to 2r it moves from r to 2r r so the potential energy due to this is smaller than mg 2r which is what you had in your expression. When the marble finally gets to the floor it has all kinetic energy and no potential energy. When you let go of the marble its potential energy is converted into kinetic energy the energy of motion.

On the other hand you need to take account of the energy of the sphere rolling which is stated explicitly. Your expression for the velocity looks right. I solve the loop the loop first year undergraduate and ap physics problems. But we have to get a few other things taken care of.