Question

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.

Answer 1

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

$L = 2I\omega$

here we have

$I = m(0.2 + 0.4)^2$

$I = 3(0.6)^2$

now we also know that

$\omega = \frac{v}{0.2 + 0.4}$

$0.6 \omega = 2 m/s$

now we have

$L = 2(2)(0.6)(2)$

$L = 4.8 kg m^2/s$