Angular Momentum of Ball of Mass Question

AI Thread Summary
To calculate the angular momentum of a ball fired horizontally from a height, the position vector must be determined, particularly the y-component. The y position is defined as negative the initial height, reflecting the downward motion of the ball. The time of flight can be calculated using the equation for vertical motion, leading to the x position being derived from horizontal velocity. Understanding that the y position changes to its negative value upon impact clarifies the confusion. This insight is crucial for accurately determining the angular momentum just before the ball hits the ground.
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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