Calculate Inertial Constant K I for Sphere + 4 Disks

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The discussion focuses on calculating the inertial constant (k) for a system comprising a sphere and four disks. The formula I = kMr² is central to the calculation, where M is the mass of the flywheel and r is its radius. The Parallel Axis Theorem is suggested as a method to aid in this calculation, particularly when considering the distribution of mass as weights are added. There is confusion regarding the implications of increasing mass on the concentration of mass and its effect on the inertial constant. Additionally, an increase in angular acceleration (alpha) is linked to an increase in spin velocity.
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I = kMr 2
Where M is the mass of the flywheel, r its radius and k is its inertial constant.
Can I calculate my own inertial constant( a sphere + 4 disks around the sphere)

Thanks Help will be appreciated
 
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So in short I am adding weight on the side of the ball .. as mass of the wieights is increased concentration of mass is distributed more... so I decreases. I am confused I don't understand the parallel axis theorm. An an increase in alpha would obviously mean an increase in spin velocity? Yes?
 

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