Now you want to slow the system down, so you decide to throw a mud ball ( m mud

Question

Now you want to slow the system down, so you decide to throw a mud ball ( mmud = 2.12 kg ) at the system of rotating disks. The trajectory from above looks like this:

The mud is moving with initial speed vm = 34.9 m/s and sticks to the rim of the disk upon impact. The distance d is 1.19 m. Find the common final angular velocity of the two disks and the mud. Make your answer positive if the rotation is counterclockwise as viewed from above.

I know this deals with conservation of angular momentum I'm just unsure on where to go from there

Now you want to slow the system down, so you decide to throw a mud ball ( mmud = 2.12 kg ) at the system of rotating disks. The trajectory from above looks like this: The mud is moving with initial speed vm = 34.9 m/s and sticks to the rim of the disk upon impact. The distance d is 1.19 m. Find the common final angular velocity of the two disks and the mud. Make your answer positive if the rotation is counterclockwise as viewed from above. I know this deals with conservation of angular momentum I'm just unsure on where to go from there

Explanation / Answer

conservation of angular momentum:

(I_disk + m R^2) w_final = I_disk w_initial - m R vm sin(theta)

(I_disk + m R^2) w_final = I_disk w_initial - m R vm (d/R)

(I_disk + m R^2) w_final = I_disk w_initial - m vm (d)

(I_disk + 2.12 * R^2) w_final = I_disk w_initial - 2.12 * 34.9 * d

I need I_disk, R, d and w_initial to find final answer.

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