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

In summary, the question is asking for the total initial angular momentum of a system consisting of a ball and disk, which is found by using the definition of angular momentum and the right-hand rule.
  • #1
Westin
87
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
 

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  • #2
What is your specific question about this question?
 
  • #3
Am I correct?
 
  • #4
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).
 
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  • #5
Right hand rule?
 

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

1. What is the initial momentum of the ball?

The initial momentum of the ball is equal to the product of its mass (m) and its velocity (v).

2. How does the mass of the ball affect its trajectory when thrown at the disk?

The mass of the ball does not significantly affect its trajectory when thrown at the disk. The trajectory is primarily determined by the initial velocity and the angle at which it is thrown.

3. What happens to the momentum of the ball after it collides with the disk?

After colliding with the disk, the momentum of the ball changes direction but remains constant in magnitude due to the law of conservation of momentum.

4. Can the ball's velocity be calculated after it collides with the disk?

Yes, the ball's velocity can be calculated using the law of conservation of momentum and the known mass and velocity of the disk.

5. How does the disk's mass and velocity affect the final momentum of the ball after the collision?

The final momentum of the ball after the collision is affected by the mass and velocity of the disk, as they both contribute to the total momentum of the system. However, the direction and magnitude of the ball's final momentum will depend on the angle and location of the collision on the disk.

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