Angular Momentum of Ball of Mass Question

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SUMMARY

The discussion focuses on calculating the angular momentum of a ball with a mass of 0.3 kg, fired horizontally at a velocity of 5 m/s from a height of 10 m. The relevant equation for angular momentum is L = r x p, where r is the position vector and p is the momentum. The position vector for the y-component is defined as -yo, indicating that the ball's height is measured negatively from the origin as it falls. The participants clarify that the y position changes from the initial height to a negative value upon impact with the ground.

PREREQUISITES
  • Understanding of angular momentum and its calculation using L = r x p
  • Knowledge of kinematic equations, specifically yf = yo + voy(t) - 0.5gt²
  • Familiarity with vector notation and components in physics
  • Basic principles of projectile motion and gravitational effects
NEXT STEPS
  • Study the derivation and application of the angular momentum formula L = r x p
  • Learn about kinematic equations in-depth, focusing on vertical motion under gravity
  • Explore vector components and their significance in physics problems
  • Investigate projectile motion and its implications in real-world scenarios
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Students studying physics, particularly those focusing on mechanics, as well as educators looking to clarify concepts related to angular momentum and projectile motion.

pradeepk
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Homework Statement


A ball of mass 0.3 kg is fired horizontally off the side of a building of height 10m at a velocity of 5m/s. Take the initial firing position as the origin. Find the angular momentum of the ball about the origin just before it hits the ground.

Homework Equations


L=r x p

The Attempt at a Solution


So I know you need to find the r position vector, and I know how to do this. So, you can use the equation yf=yo + voy(t) -0.5gt2 and you solve for the time to get t=\sqrt{}2yo/g. So then you can use xf=xo + vox(t), and you get that the x position is x=Vo\sqrt{}2yo/g\hat{}x My question is about the y position vector. My professor gave that y position is -yo\hat{}y. Intuitively this does not make sense to me, how is the position of y only changing by its initial position?

Homework Statement


Homework Equations


The Attempt at a Solution

 
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pradeepk said:
My professor gave that y position is -yo\hat{}y. Intuitively this does not make sense to me, how is the position of y only changing by its initial position?

From the problem description.

"Take the initial firing position as the origin. Find the angular momentum of the ball about the origin just before it hits the ground."

(emphasis added)
 
olivermsun said:
From the problem description.

"Take the initial firing position as the origin. Find the angular momentum of the ball about the origin just before it hits the ground."

(emphasis added)

ohh of course..when it hits the ground its y position will be the negative of where it started. Thanks a lot. I don't know why I couldn't think of that
 
No prob. ;)
 

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