Is it possible to use L= r x p to find angular momentum here

In summary: The moment of inertia is not needed in that case.In summary, the conversation discusses the use of different formulas, L= Iω and L= r x p, to solve a rotation problem involving a wheel. It is explained that L= r x p cannot be used because the wheel is rotating and the moment of inertia and parallel axis theorem must be taken into consideration. However, if the object is not rotating, L=MRV can be used instead.
  • #1
Warlic
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Homework Statement



upload_2015-12-3_13-6-0.png
[/B]

Homework Equations



L = I ω
L= r x p

The Attempt at a Solution



For b)

My proffesor found the moment of inertia at the point at which the wheel touches the ground, and used the formula L = I ω
upload_2015-12-3_13-7-47.png
What I don't understand is why can't one use L= r x p to solve the problem.
Wouldn't L then simply be L=RMV? [/B]
 

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  • #2
Warlic said:
What I don't understand is why can't one use L= r x p to solve the problem.
Wouldn't L then simply be L=RMV?
If the wheel were sliding without friction along the road then that would be true. Then the wheel could be modeled as a point mass M moving past the point of interest at a perpendicular distance R.

But the wheel is rotating (about the instantaneous contact point on the road). So the wheel's moment of inertia and the parallel axis theorem is called for.
 
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  • #3
gneill said:
If the wheel were sliding without friction along the road then that would be true. Then the wheel could be modeled as a point mass M moving past the point of interest at a perpendicular distance R.

But the wheel is rotating (about the instantaneous contact point on the road). So the wheel's moment of inertia and the parallel axis theorem is called for.
I see, thank you. So if the object is not rotating, I can use L=MRV, where R is the distance to the center of mass of the object?
 
  • #4
Warlic said:
I see, thank you. So if the object is not rotating, I can use L=MRV, where R is the distance to the center of mass of the object?
Yes. Then it's just a non-rotating rigid body undergoing linear motion.
 
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FAQ: Is it possible to use L= r x p to find angular momentum here

1. Can L= r x p be used to find angular momentum in all situations?

Yes, L= r x p can be used to find angular momentum in any situation where the position vector and momentum vector are known. It is a general formula that can be applied to any object in motion.

2. What are the units for angular momentum when using L= r x p?

The units for angular momentum when using L= r x p are kilogram-meter squared per second (kg*m2/s).

3. Does the direction of the angular momentum vector matter?

Yes, the direction of the angular momentum vector does matter. It follows the right hand rule, where the direction of the vector is perpendicular to both the position and momentum vectors.

4. Can L= r x p be used for both linear and rotational motion?

Yes, L= r x p can be used for both linear and rotational motion. When applied to linear motion, the position and momentum vectors are in the same direction, resulting in a zero angular momentum. When applied to rotational motion, the position and momentum vectors are perpendicular, resulting in a non-zero angular momentum.

5. How does changing the position or momentum vectors affect the angular momentum?

Changing the position or momentum vectors will change the magnitude and direction of the angular momentum. This is because L= r x p is a vector equation, meaning any changes to the position or momentum vectors will also change the resulting angular momentum vector.

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