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A particle of mass 4.5kg has a velocity of v=3 i m/s, when it is at the origin (

ID: 1474627 • Letter: A

Question

A particle of mass 4.5kg has a velocity of v=3 i m/s, when it is at the origin (0,0). Determine the z-component of the angular momentum of the particle about each of the following reference points. The coordinates of the reference points have units (meters, meters). Assume the positive z-axis is directed out of the screen.

A.) Determine the angular momentum in kg x m2/s of the particle about (0,1).

B.) Determine the angular momentum in kg x m2/s of the particle about (0,-1).

C.) Determine the angular momentum in kg x m2/s of the particle about (1,0).

D.) Determine the angular momentum in kg x m2/s of the particle about (-1,0).

E.) Determine the angular momentum in kg x m2/s of the particle about (1,1).

F.) Determine the angular momentum in kg x m2/s of the particle about (-1,1).

G.) Determine the angular momentum in kg x m2/s of the particle about (-1,-1).

H.) Determine the angular momentum in kg x m2/s of the particle about (1,-1).

I.) Determine the angular momentum in kg x m2/s of the particle about (0,0).

Explanation / Answer

L = m* (vXR ) cross product

A    4.5* 3* 1 Z   = 13.5 Z

B 4.5 *3*1 -Z = -13.5 Z

C 0

D 0

E   4.5* 3* 1   Z   = 13.5 Z

F 4.5* 3* 1   Z   = 13.5 Z

G   4.5 *3*1 -Z = -13.5 Z

H 4.5 *3*1 -Z = -13.5 Z

I 0

  

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