#I=mr^2

20 messages · Page 1 of 1 (latest)

lucid tartanBOT
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bright shard
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If you mean for a pendulum, it's just the quantity that makes Newton's Laws consistent w/ rotational kinematics

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$\vec{\tau}=I\vec{\alpha}$, if you compute the torque and angular acceleration, you get their magnitudes being $\tau= mr^2\alpha$

proven ibexBOT
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omegabet_

186109587366215691.png
compact sky
compact sky
bright shard
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It's not, I depends on the distribution of mass

compact sky
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Well yeah that’s for when the mass is distributed evenly around a circle

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But is it always derived

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From the one equation you mentioned above?

bright shard
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It's derived from the definition

compact sky
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What’s the definition?

bright shard
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I is just the discrete/continuous sum of mr^2's, whichever is apt

compact sky
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But yeah how is that derived
Why r^2 and not r^3

bright shard
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dimensions need to work

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You also cant derive a definition

compact sky
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Thanks