Center of mass 7 Tant O about 0 about this point Weight acts

Center of mass 7, Tant O about 0 about this point. Weight acts at the center of mass. Static friction prevents slipping. di

Solution

You have posted ,two different questions ,only one will be answered

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b)

Initial angular velocity

W_i=22*(2pi/60) =2.3 rad/s

Moment of inertia of disk

I_disk=(1/2)M_diskr² =(1/2)*270*(3.2/2)²=345.6 Kg-m²

By Conservation of angular momentum

L_initial=L_final

I_DiskW_i+m_JVr =(I_disk+m_Jr²)W_f

345.6*2.3+29*5*1.6 =(345.6+29*1.6²)*W_f

W_f=2.45 rad/s

if answer was needed in rpm

W=2.45*(60/2pi)=23.4 rpm