Am I Calculating the Moment of Inertia Correctly?

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The moment of inertia for the described setup is calculated using the formula I = mr²((g-a)/a). Given the parameters: hanging mass of 0.050 kg, pulley radius of 0.010 m, and an acceleration of 0.00671 m/s², the calculation yields I = 0.0730 kg·m². This calculation is confirmed as correct for the bare arm before considering the point masses. The next step involves incorporating the point masses of 0.250 kg each into the overall moment of inertia calculation.

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I need to calculate the moment of inertia of the setup below and i am confused.i have to initially calculate it without the point of masses and than with the point of masses. I have already calculated the acceleration for each of the experiments.


The info i have is:

Hanging mass - .050kg

Pulley Radius - .010m

Point of mass 1 - .250kg

Point of mass 2 - .250kg

Acceleration - 0.00671



I believe the moment of inertia of the bare arm is

I = mr²((g-a)/a)

I = .050*.010² * ((9.8-0.00671)/0.00671)

I = 0.000005 * 1459.51 = 0.0730

Am i calculating this correctly?

thanks in advance
 

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can anyone tell me if this is the way i should calculate it?
 

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