Rotational Mechanics: Sphere collision problem

Click For Summary

Discussion Overview

The discussion revolves around a problem in rotational mechanics involving a solid sphere of mass M and radius R that rolls and encounters a protrusion on the surface of height R/4. Participants are exploring the maximum velocity at which the sphere can roll without losing contact with the surface as it interacts with the step.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant seeks clarification on whether the question pertains to the minimum velocity required for the sphere to clear the protrusion.
  • The original poster confirms they are interested in the maximum velocity that allows the sphere to maintain contact with the surface while rolling over the step.
  • Another participant suggests using the law of energy conservation as a hint to approach the problem.

Areas of Agreement / Disagreement

There is no consensus on the specifics of the problem, as participants are clarifying the question and offering hints rather than providing definitive answers.

Contextual Notes

The discussion lacks detailed assumptions about the conditions of the sphere's motion and the nature of the collision with the step, which may affect the analysis.

shreyashebbar
Messages
11
Reaction score
0
Hello everyone,
Please help me with this problem, as I am getting stuck solving this problem.

A solid sphere of Mass M and Radius R rolling (pure) encounters a protrusion on the surface of height R/4. Its in the form of a step. What can be the maximum velocity V of sphere so that it doesn't leave contact from surface and final velocity?

Attached below is a figure:

Please help.

Thanking in anticipation

Regards
 

Attachments

  • Untitled.png
    Untitled.png
    3.8 KB · Views: 742
Physics news on Phys.org
I ts not clear what you actually want to ask ! do you wish to know the least velocity that the sphere should have to get above that protrusion ?
 
Apologize for not making it clear.
Yeup I wish to know the maximum velocity the sphere can roll such that when it strokes the step and rolls over it it doesn't jump is leave touch with the surface.

Regards
 
OK , you should try it first.
let me give you just a hint.
Law of energy conservation. its the hint.
now can you do it ?
 

Similar threads

High School Rolling of non-deforming sphere on a non-deforming rough surface?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Force applied on sphere by turbulent flow
  • · Replies 28 ·
Replies
28
Views
3K
Undergrad Static sphere with gravitating fluid
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Lift Force of a Rotating Sphere in the Air
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Problem with understanding angular momentum
  • · Replies 30 ·
2
Replies
30
Views
3K
Undergrad Rolling balls with different rotational inertia
  • · Replies 14 ·
Replies
14
Views
3K
Undergrad Will a sphere rotate on a frictionless inclined surface?
  • · Replies 23 ·
Replies
23
Views
4K
Graduate Rotating Sphere: Conceptual Question
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Conservation of energy in rotating bodies
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad I'm calculating more energy out than I put in
  • · Replies 138 ·
5
Replies
138
Views
9K