Answer to Question #114150 in Mechanics | Relativity for Feker

Question #114150
A uniform sphere of radius r= 0.500m and mass m= 15.0kg turns counter clockwise about a vertical axis through its center. Find its vector angular momentum about this axis when its angular speed is 3.00rad/sec.
1
Expert's answer
2020-05-12T09:59:33-0400

The magnitude of angular momentum is


"L=I\\omega=\\frac{2}{5}mr^2\\cdot\\omega=4.5\\text{ kg}\\cdot\\text{m}^2\/\\text{s}^2."


If we look at the ball so that it rotates counter-clockwise, the angular momentum is directed in positive z-direction (toward us, out of the screen):


"\\textbf{L}=4.5\\hat{z} \\text{ kg}\\cdot\\text{m}^2\/\\text{s}^2"

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