The discussion centers on the moment of inertia (MI) of two bodies with mass distributed along a line, specifically questioning whether their moments of inertia about their respective centers of mass are strictly different. Participants clarify that the mass distribution can be discrete rather than continuous, similar to a rope. It is established that different mass distributions can yield the same moment of inertia, confirming that the values are not strictly different for all cases. The conversation emphasizes the importance of understanding the definition of moment of inertia in this context.
PREREQUISITESPhysics students, mechanical engineers, and anyone interested in the principles of rotational motion and moment of inertia calculations.
You derive the total moment of inertia by integrating (adding up) the moments of inertia, of these masses.deep838 said:I mean to say that the bodies are not 2 dimensional, they only have length.. Like a rope. Only the distribution is not continuous, it is made of a number of masses
Yes, but is that value strictly different for two different bodies? Or can two mass distribution have the same moment of inertia?A.T. said:You derive the total moment of inertia by integrating (adding up) the moments of inertia, of these masses.
Of course they can.deep838 said:Or can two mass distribution have the same moment of inertia?
deep838 said:Yes, but is that value strictly different for two different bodies? Or can two mass distribution have the same moment of inertia?