You used the right-hand rule to determine the z component of the angular momentum, but as a check, calculate in terms of position and momentum: what is xpy? what is ypx? therefore, what is the z component of the angular momentum of the child about location a?

Respuesta :

Answer:

case x py   L is in the positive z direction

case y px   L the negative z direction

Explanation:

The angular amount is defined by the relation

         L = r x p

the bold are vectors, where r is the position vector and p is the linear amount vector.

The module of this vector can be concentrated by the relation

         L = r p sin θ

the direction of the vector L can be found by the right-hand rule where the thumb points in the direction of the displacement vector, the fingers extended in the direction of the moment p which is the same direction of speed and the palm points in the direction of the angular momentum L

in the case x py

the thumb is in the x direction, the fingers are extended in the direction and the palm is in the positive z direction

In the case y px

the thumb is in the y direction, the fingers are in the x direction, the palm is in the negative z direction

In the case of x py, L is in the positive z-direction.

In the case of y px L the negative z-direction.

What is Angular momentum?

When The angular amount is defined by the relation

Then L = r x p

Then the bold are vectors, where r is the position vector and p is the linear amount vector.

When The module of this vector can be concentrated by the relation

After that L = r p sin θ

Although the direction of the vector L can be found by the right-hand rule where the thumb pinpoints in the direction of the displacement vector, When the fingers extended in the direction of the moment p which is the exact direction of speed, and also the palm ends in the direction of the angular momentum L

In the case x py

the thumb is in the x-direction, Then the fingers are extended in the direction, and also the palm is in the positive z-direction

In such the case y px

Therefore, the thumb is in the y-direction, the fingers are in the x-direction, the palm is in the negative z-direction

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