A ball of mass m is thrown with a velocity v at a disk

Click For Summary

Homework Help Overview

The problem involves a ball of mass m thrown with a velocity v at a disk of mass M, which sticks to the rim upon impact. The focus is on determining the total initial angular momentum about the axis for the system of the ball and disk.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the definition of angular momentum and the application of the cross product in this context. There are questions about the correctness of the angular momentum expression and the use of the right-hand rule.

Discussion Status

Some participants have provided guidance on the definition of angular momentum and its calculation, while others are seeking clarification on specific aspects, such as the right-hand rule. Multiple interpretations of the problem setup are being explored.

Contextual Notes

There are references to the right-hand rule and the axis of the disk, indicating that assumptions about the coordinate system and directionality are under discussion.

Westin
Messages
87
Reaction score
0

Homework Statement



A ball of mass m is thrown with a velocity v at a disk of mass M which sticks to the rim on impact.https://s3.lite.msu.edu/res/msu/perl_author/P3_PRELECTURE/L_CONSERVATION/IMAGES/CQ1.png

For the system of the ball and disk, what is the total initial angular momentum about the axis?[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png0,0,Rmv[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.png
[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png0,0,−Rmv[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.png
[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png0,−Rmv,0[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.png
[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png0,Rmv,0[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.png
[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png0,0,0[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.png[/B]

Homework Equations


Cross Product

The Attempt at a Solution



τ⃗ A=r⃗ A×F⃗
Cross Product
[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png0,0,−Rmv[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.png
 

Attachments

  • Screen Shot 2015-04-12 at 8.02.58 PM.png
    Screen Shot 2015-04-12 at 8.02.58 PM.png
    13.8 KB · Views: 702
Last edited by a moderator:
Physics news on Phys.org
What is your specific question about this question?
 
Am I correct?
 
Yes, [PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char68.png0,0,−Rmv[PLAIN]https://s3.lite.msu.edu/adm/jsMath/fonts/cmsy10/alpha/144/char69.png, using the definition of angular momentum as L=r x p and the right-hand rule (presuming the axis is through the axis of the disk).
 
Last edited by a moderator:
Right hand rule?
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
6
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
1
Views
2K