IB Physics. The Jumping Hoop
/This tutorial sheet is about the jumping hoop demonstration. A smooth vertical hoop of mass M and radius R has two beads of mass m slotted on it, both initially at rest side by side at the highest point of the hoop. The masses are released and slide down along the hoop. Find the smallest ratio of m/M if the hoop is to leave the ground during the subsequent motion. (From Isaac Physics, L. Jardine-Wright, Periphyseos Press, 2015, p24)
- What is the first step in solving a mechanics problem? Draw a diagram showing the forces acting and the coordinates used.
- Is total energy conserved as the beads slide on the hoop?
- Is the linear momentum of the system conserved as the beads slide on the hoop?
- Is the angular momentum of the system conserved as the beads slide?
- What condition determines if the hoop leaves the surface?
