Calculate Inertial Constant K I for Sphere + 4 Disks

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SUMMARY

The discussion focuses on calculating the inertial constant K I for a system consisting of a sphere and four disks using the formula I = kMr², where M represents the mass of the flywheel and r is its radius. The Parallel Axis Theorem is highlighted as a crucial tool for this calculation, particularly in understanding how the distribution of mass affects the inertial constant. The user expresses confusion regarding the application of the theorem and its implications on spin velocity as mass is added to the system.

PREREQUISITES
  • Understanding of the Parallel Axis Theorem
  • Basic knowledge of rotational dynamics
  • Familiarity with the concept of moment of inertia
  • Ability to perform calculations involving mass and radius
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  • Study the Parallel Axis Theorem in detail
  • Learn about calculating moment of inertia for composite bodies
  • Explore the relationship between angular acceleration and spin velocity
  • Investigate practical applications of inertial constants in mechanical systems
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Students and professionals in physics, mechanical engineering, and robotics who are involved in dynamics and rotational motion analysis will benefit from this discussion.

GreenSabbath
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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 theorem. An an increase in alpha would obviously mean an increase in spin velocity? Yes?
 

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