rotation doubt

we write rotational kinetic energy as 1/2Iw^2.So this moment of inertia is about the axis of rotation or about the centre of mass?
16 Replies
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@Gyro Gearloose
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Dragon Slayer
Dragon Slayer9mo ago
axis
Nikey
NikeyOP9mo ago
thanks a lot
Dragon Slayer
Dragon Slayer9mo ago
👍🏻
seksosterone
seksosterone9mo ago
moment of inertia is defined at a particular axis. that axis may not always be the c.o.m.
Nikey
NikeyOP9mo ago
sir you know like while writing equations for a rigid body we usually consider everything about com (like com velocity or acln).Usually the axis of rotation is com and there is no problem with writing moi. But when the rotational axis is not about com there is a confusion also @iTeachChem Helper bot is v cool
iTeachChem
iTeachChem9mo ago
understood! Haha @nermal , @ᴘɪᴄᴄʜɪ | 🎧 🎶 ko credit!
Keshav
Keshav9mo ago
Axis. The center of mas can also be an axis in a given conditon (most of the time tbh) but in general its KE about the axis If the point through which the axis passes itself has an translational velocity (let say a pen rotating about its center of mass and also moving forward horizontally) then the total kinetic Energy of the pen will become 1*2 I w^2 + 1/2 mv^2 where v is the translational velocity of the point through which the axis passes (in this case, the center of mass) This is a big blunder which I found while solving pyqs Cuz most of the time center of mass is the axis
Nikey
NikeyOP9mo ago
that was so clear tysm! man i know right i keep finding new stuff every time i solve questions (also abj sir w)
Keshav
Keshav9mo ago
A man of culture
iTeachChem
iTeachChem9mo ago
+solved keshav
iTeachChem Helper
:no_entry_sign: | Invalid Arguments
iTeachChem
iTeachChem9mo ago
+solved @Keshav
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