As part of an experiment in physics lab, small metal ball of radius r = 2.3...

50.1K

Verified Solution

Question

Physics

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?

Answer & Explanation Solved by verified expert

4.1 Ratings (485 Votes)

Givenmasss of the metal ball m 373 g 0373 kgRadius of the metal ball r 23 cm 0023 mRadius of the looptheloop R 34 mmoment of inertia of sphere I 25mr2NowAt the topN mg mv2RFor ball to just make it around the loop N 0 mg See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member