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does NOT. How on earth can this be? What is different about the dynamics of a hoop that rolls without slipping in this configuration and the skater?

does NOT. How on earth can this be? What is different about the dynamics of a hoop that rolls without slipping in this configuration and the skater?

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In the figure on the right, we have a hoop that rolls without slipping down an incline starting from rest at a height "h." A loop-the-loop is at the bottom and the hoop is allowed to enter the loop-the-loop at a negligible offset in and out of the page. We find that the height of the loop-the-loop is 2R, and 2R = 4.0 meters high. We find also that the starting height "h" is 5.5 meters. We do NOT need to do any TOP OF LOOP r calculations here, but these figures actually prevent the hoop from making it all the way to the top of the loop-the-loop without falling off. The hoop CRASHES! =0 We find that a skater starts at rest also from the same height "h" and travels all the way through the loop-the-loop and MAKES IT !!! That's literally "tubular...," heh. The skater is even slightly less aerodynamic than the HOOP !!! The skater simply goes faster at a sufficient speed to hug the loop-the-loop at all times without falling off, but the hoop does NOT. How on earth can this be? What is different about the dynamics of a hoop that rolls without slipping in this configuration and the skater?
Transcribed Image Text:In the figure on the right, we have a hoop that rolls without slipping down an incline starting from rest at a height "h." A loop-the-loop is at the bottom and the hoop is allowed to enter the loop-the-loop at a negligible offset in and out of the page. We find that the height of the loop-the-loop is 2R, and 2R = 4.0 meters high. We find also that the starting height "h" is 5.5 meters. We do NOT need to do any TOP OF LOOP r calculations here, but these figures actually prevent the hoop from making it all the way to the top of the loop-the-loop without falling off. The hoop CRASHES! =0 We find that a skater starts at rest also from the same height "h" and travels all the way through the loop-the-loop and MAKES IT !!! That's literally "tubular...," heh. The skater is even slightly less aerodynamic than the HOOP !!! The skater simply goes faster at a sufficient speed to hug the loop-the-loop at all times without falling off, but the hoop does NOT. How on earth can this be? What is different about the dynamics of a hoop that rolls without slipping in this configuration and the skater?
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