Am I Calculating the Moment of Inertia Correctly?

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The user is seeking confirmation on their calculation of the moment of inertia for a setup involving a pulley and point masses. They have provided specific values for the hanging mass, pulley radius, point masses, and acceleration. The initial calculation for the moment of inertia of the bare arm is presented, yielding a result of 0.0730. The user is uncertain if their approach is correct and is looking for guidance on the calculation method. Clarification on the calculation process for both the bare arm and the inclusion of point masses is requested.
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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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