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10 Nov 2019

A solid sphere marble of radius 0.5 cm and mass 3 g starts from rest and then rolls down a frictionless track and around the inside of a loop-the-loop of radius 45 cm. From what minimum height (in cm) must the marble have started if it is to make it around the loop-the-loop without falling off the track?

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Nelly Stracke
Nelly StrackeLv2
18 Feb 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A solid marble of mass m = 15 kg and radius r = 6 cm will rollwithout slipping along the loop-the-loop track shown in the figureif it is released from rest somewhere on the straight section oftrack. From what minimum height h above the bottom of the trackmust the marble be released to ensure that it does not leave thetrack at the top of the loop? The radius of the loop-the-loop is R= 1.05 m.
If the marble is released from height 6R above the bottom of thetrack, what is the horizontal component of the force acting on itat point Q?


(this is a sketch of the figure in the book)

this problem reads as follows:

A solid marble starts from rest and rolls without slipping onaloop-the-loop track. Find the minimum starting height of themarblefrom which it will remain on the track through the loop.Assume themarble radius is small compared with the radius of theloop, R.

A solid sphere of mass M and radius r rolls without slipping along a track. It starts from rest with thte lowest point of the sphere at height H above the bottom of the loop of radius R, much larger than r. (a) What is the minimum value of H (in terms of R) such that the sphere completes the loop?

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