Loop the loop: Sphere, hoop, disk rolled down a looped track.
1M40.20 • A+0+45
Loop the Loop: Centrifugal and Centripetal Acceleration. To make it completely around the loop, at the top of the loop the velocity of the object must be great enough so that v^2/r = g. We must also take into account rotational kinetic energy because the objects are rolling without slipping. Also, total energy at the top of the loop must equal potential energy at point A. The difference in rotational energy are enough to cause the hoop to not have the necessary velocity to stay on the track.
Related Demos
1M40.10 Bowling ball pendulum swings back to nose. 1M40.40 .22 rifle fires vertically, bullet lifts small wood cylinder. 1M40.40 Ballistic pendulum: Suspended .22 rifle fires into suspended block. 1M40.41 Inelastic collisions: Another ballistic pendulum. 1M40.50 Maxwell's wheel: Flywheel with axle, supported on strings or stand. 1M40.95 The Trebuchet
A+0+0 "Coin and Feather" fall in an evacuated rotatable tube. A+0+5 Timed free fall: Ball drops 2 meters through electronic timing gate. A+0+10 Atwood machine: Unbalanced weights on a pulley accelerate slowly. A+0+15 A falling weight accelerates a car horizontally. A+0+20 Acceleration of a steel ball down an inclined plane with metronome. A+0+22 Inclined airtrack with gliders and timing gates. A+0+23 Inclined airtrack: Cart and ball accelerate in unison. A+0+25 Cork float accelerometer: Cork and water in sealed flask. A+0+30 A chain dropped onto a force plate. A+0+31 Swinging mass M lifts mass 2M A+0+35 A ball swung on a string held by a sleeve. A+0+40 Conical pendulum: Similar to A+0+35 with standard weights. A+0+41 Mass on scale is accelerated A+0+47 Swing water in a bucket. A+0+50 Candles rotating about an axis. A+0+52 Banked turns: slot car around an oval track A+0+55 Mercury and colored water in a rotating glass vessel. A+0+56 Flattening of the earth: Rotating brass hoops. A+0+57 Rotating loop of chain rolls across bench. A+0+58 Mechanical governor device. A+0+59 Chain lariat with hand drill or electric rotator. A+0+60 Film: "Zero G", sound, 14 min. A+0+65 Film: "Conservation laws in zero G", sound, 14 min. A+0+70 Film loop: "Inertial forces: Centripetal acceleration", 3:15 min. A+0+75 Film loop: "Inertial forces:Translational acceleration", 2:05 min. A+0+80 Java Applet: The Ramp A+0+81 Java Applet "Moving ladybug shows vectors of motion" A+0+82 Java Applet "Ladybug on Carousel shows vectors of motion" A+0+83 Java Applet "Moving dot shows vectors of velocity and acceleration" A+0+84 Java Applet "The Moving Man" A+0+85 Java Applet "Moving car with graphed position to show linear sinusoidal motion" A+0+86 Film Loop: "Worlds largest vacuumn chamber does coin and feather, 4:41 min" A+0+90 Falling Slinky's bottom stationary until top reaches it