As part of an experiment in physics lab, small metal ball ofradius r = 2.3 cm rolls without slipping down a ramp and around aloop-the-loop of radius R = 3.4 m. The ball is solid with a uniformdensity and a mass M = 373 g.
How high above the top of the loop must it be released in orderthat the ball just makes it around the loop?
Now instead of a sphere, what if we rolled a solid disk with thesame mass and radius. How high above the top of the loop must it bereleased in order that the disk just makes it around the loop?
Finally, what if we had allowed a block with the same mass asthe sphere to slide on the ramp. The block slips without frictionbut does not rotate. How high above the top of the loop must it bereleased in order that the block just makes it around the loop?
