Oh okay, but why does the torque then change if you include the mass in the system or leave it out? Isn't the pulley rotating the same speed either way?
That's what I tried at first, but wouldn't that only work if the tension force is equal to the weight of the mass (mg). If that were true, the net force on the mass would be 0, meaning it's at rest. Let me know if I'm thinking about something wrong here.
Thank you! For the next part of the problem, it asks me to find the total angular momentum of the system, is that just the angular momentum of the pulley or do I need to factor in the hanging mass as well?
I started by summing the forces and torques to get:
- ma = mg-T
- I*alpha=Tr
I then used a=alpha*r and I=Mr^2 to combine the equations and solved for angular acceleration equals 81.75rad/s^2. Plugging this back into a torque equation I got that the net torque is 1.04Nm. However, the problem...