I am doing a lab in which I have to find the moment of inertia of a rotating pul

Question

I am doing a lab in which I have to find the moment of inertia of a rotating pulley. I am using a half Atwood Machince to conduct the lab. A hanging mass falls on a string which turns the pulley. A Ultrasonic Motion Detector (UMD) observes the hanging masses position, velocity and acceleration.I know that for a pulley the theoretical moment of inertia is (1/2)MR^2, but I need to have an expiremental equation. Any Ideas?

I have come up with an equation:
I(alpha)=m1(a+g)-m2(a+g)-Torque due to friction.
I have two unkowns in this equation; tourque of friction and I. please helP!!

Explanation / Answer

Take the entire atwood machine into ur equation then friction will become an internal force and hence be eliminated the moment of inertia's of m1 and m2 are m1*r^2 and m2*r^2 since they are t a perpendicular distance of r from the axis hence the equation is Isys* alpha=m1*(a+g)*r-m2*(g-a)*r Isys=Ipulley+Im1+Im2

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