Angular momentum in projectile motion of rock of mass

AI Thread Summary
To calculate the angular momentum of a rock with a mass of 55.0 g thrown horizontally at 32.00 m/s from a height of 29.00 m, the distance traveled after 0.28 seconds is first determined to be 9.344 m. The angular momentum formula L = r*m*v is applied, but the initial attempt is deemed incorrect. The correct approach involves using the vector product L = m (x v_y - y v_x), requiring the x and y coordinates and velocity components as functions of time. The discussion emphasizes the importance of correctly determining these components to accurately compute angular momentum. Understanding the vector nature of angular momentum is crucial for solving the problem effectively.
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Homework Statement



A rock of mass 55.0 g is thrown with initial horizontal velocity v_x = + 32.00 m/s off a building from a height of 29.00 m. Take UP to be the +y direction. You will need to calculate the angular momentum of the rock about the line along the edge of the roof as a function of time.

Find the angular momentum of the rock about the line along the edge of the roof at 0.28 s.

Homework Equations



L = r*m*v

The Attempt at a Solution



to find the distance traveled in .28 seconds

d = 32m/s(.28) + .5(9.8m/s^2)(.28^2)
d = 9.344 m

then L = r*m*v

L = 9.344(.055kg)(32m/s)

I know this is wrong but i am not sure how else to go about this problem :(

thank you for any help
 
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The angular momentum is a vector product:

\vec L = m \vec r \times \vec v

For motions in the xy plane, L has only z component and it is

L = m ( x v_y - y v_x ).

Determine the x, y coordinates of the projectile as function of time with respect to the edge as origin, and the x and y components of its velocity too, and substitute in the above expression for L.

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