2. An object with moment of inertia 1 = 9.7 x 10−4 kg ∙ m2 rotates at a speed of 3.0 rev/s. A 20 g mass with moment of inertia 2 = 1.32 x 10−6 kg ∙ m2 is dropped onto the rotating object at a distance of 5.0 cm from the center of mass. What is the angular velocity of the combined object and mass after the drop?

2.85 rad/s

Explanation:

5 cm = 0.05 m

20 g = 0.02 kg

When dropping the 2nd object at a distance of 0.05 m from the center of mass, its corrected moments of inertia is:

So the total moment of inertia of the system of 2 objects after the drop is:

From here we can apply the law of angular momentum conservation to calculate the post angular speed

okay i have so many questions. but the big one here is: um wt..f is this mess? ?

radiation warms things up temp rises convection currents air circ windy weather