calculate the moment of inertia of a solid sphere of mass ? and radius ? with respect to ??? ? which passes through its center of mass as we can see in the second image note:Consider the second image to propose the integration limits and set the integral with respect to the Z integration variable
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
calculate the moment of inertia of a solid sphere of mass ? and radius ? with respect to ??? ? which passes through its center of mass as we can see in the second image
note:Consider the second image to propose the integration limits and set the integral with respect to the Z integration variable
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