Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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?

icon
Related questions
Question
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?
Expert Solution
Step 1

For the skater all the potential energy of the skater changes into kinetic energy if we neglect friction and drag because only linear motion is involved.

for the hoop as it starts to roll and come down the incline its potential energy gets converted to linear kinetic energy and rotational kinetic energy.

thus some of its potential energy gets converted to rotational kinetic energy and and its linear kinetic energy is less than the skater and that is is why it have less speed than skater when it starts climbing loop the loop.

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer