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Two identical spheres with m=3 kg each are rigidly attached to the rotating light rigid structure. The velocity of the spheres is v=2 m/s. Determine the angular momentum about the axis of rotation.

Respuesta :

Answer:

Angular momentum of the system is 4.8 kg m^2/s

Explanation:

As we know that the angular momentum of the system of masses is given as

[tex]L = 2I\omega[/tex]

here we have

[tex]I = m(0.2 + 0.4)^2[/tex]

[tex]I = 3(0.6)^2[/tex]

now we also know that

[tex]\omega = \frac{v}{0.2 + 0.4}[/tex]

[tex]0.6 \omega = 2 m/s[/tex]

now we have

[tex]L = 2(2)(0.6)(2)[/tex]

[tex]L = 4.8 kg m^2/s[/tex]

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