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Determine both the magnitude and direction of the translational angular momentum

ID: 1265585 • Letter: D

Question

Determine both the magnitude and direction of the translational angular momentum of the particle at location O relative to each point: A, B, C, D, E, F, G, and H. The magnitude of the momentum p = 80 kg

Determine both the magnitude and direction of the translational angular momentum of the particle at location O relative to each point: A, B, C, D, E, F, G, and H. The magnitude of the momentum p = 80 kg m/s, and the distances are h = 11 m, b = 8 m, and w = 10 m. Assume the usual coordinate system (+x to the right, +y up, and +z out of the page, toward you.)

Explanation / Answer

Angular momentum = r x mv ( cross product) and the direction is obtained by using the right hand rule for angular motions.

Relative to point A : b*p = 640 kg m^2/s ; Direction is - Z

Relative to point B : b*p = 640 kg m^2/s ; Direction is - Z

Relative to point C : 0*p =0 kg m^2/s ; Direction is none

Relative to point D : h*p = 880 kg m^2/s ; Direction is Z

Relative to point E : h*p = 880 kg m^2/s ; Direction is Z

Relative to point F : h*p = 880 kg m^2/s ; Direction is Z

Relative to point G : 0*p = 0 kg m^2/s ; Direction is none

Relative to point H : b*p = 640 kg m^2/s ; Direction is - Z

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