-O R Disk 1 Disk 2

ω_new,z = -5.841 rad/s

R= 2.68 m

I_1 = 11.1 kg⋅m2

I_2 = 16.6 kg⋅m2

ω_1,z=10.3 rad/s

ω2,z=−15.5 rad/s

Starting with ω_new,z you now want to immediately slow the system down, so you decide to throw a mud ball ( m_mud=2.78 kg ) at the system of rotating disks. The trajectory from above looks like this:


The mud is moving with initial speed v_mud=18.9 m/s and sticks to the rim of the disk upon impact. The distance d=1.23 m. Find the common final z-component of the angular velocity of the two disks and the mud. As a reminder, positive z-components correspond to counterclockwise rotation.