Hi sir, I looking for answer how r^2 came in moment of inertia I=Mr^2 ,could you explain why we are multiply r^2 distance from the axis of rotation , from the position of point particle. IF particle is from distance r Then it could be I= Mr why it will I=M r^2 Thanks for video explaining moment of inertia in tensor
*Short answer*: that‘s the definition of the moment of inertia. *Long answer*: the moment of inertia is defined as L/w, i.e. angular momentum divided by angular velocity. For a point particle, you have L = r p = r m v w = v / r Therefore, I = L / w = r m v / ( v / r ) = r² m
red bracket in last row should be multiplied by mass
That's absolutely true! Thanks!
Beautiful!
Hi sir, I looking for answer how r^2 came in moment of inertia I=Mr^2 ,could you explain why we are multiply r^2 distance from the axis of rotation , from the position of point particle.
IF particle is from distance r
Then it could be I= Mr why it will I=M r^2
Thanks for video explaining moment of inertia in tensor
*Short answer*: that‘s the definition of the moment of inertia.
*Long answer*: the moment of inertia is defined as L/w, i.e. angular momentum divided by angular velocity. For a point particle, you have
L = r p = r m v
w = v / r
Therefore,
I = L / w = r m v / ( v / r ) = r² m
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Thank you very much! :) We cannot do tutoring unfortunately since we both work full time :/