Question

What is moment of inertia ???? ​

Answer 1

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ᴍᴏᴍᴇɴᴛ ᴏғ ɪɴᴇʀᴛɪᴀ ➠ ᴀɴɢᴜʟᴀʀ ᴍᴀss ᴏʀ ʀᴏᴛᴀᴛɪᴏɴᴀʟ ɪɴᴇʀᴛɪᴀ ᴄᴀɴ ʙᴇ ᴅᴇғɪɴᴇᴅ ᴡ.ʀ.ᴛ. ʀᴏᴛᴀᴛɪᴏɴ ᴀxɪs, ᴀs ᴀ ǫᴜᴀɴᴛɪᴛʏ ᴛʜᴀᴛ ᴅᴇᴄɪᴅᴇs ᴛʜᴇ ᴀᴍᴏᴜɴᴛ.ɪᴛ ɪs ᴛʜᴇ ɴᴀᴍᴇ ɢɪᴠᴇɴ ᴛᴏ ʀᴏᴛᴀᴛɪᴏɴᴀʟ ɪɴᴇʀᴛɪᴀ, ᴛʜᴇ ʀᴏᴛᴀᴛɪᴏɴᴀʟ ᴀɴᴀʟᴏɢ ᴏғ ᴍᴀss ғᴏʀ ʟɪɴᴇᴀʀ ᴍᴏᴛɪᴏɴ.

${\huge{\underline{\boxed{\mathfrak{\fcolorbox{cyan}{red}{Definition}}}}}}$

➠ ᴀ ᴍᴇᴀsᴜʀᴇ ᴏғ ᴛʜᴇ ʀᴇsɪsᴛᴀɴᴄᴇ ᴏғ ᴀ ʙᴏᴅʏ ᴛᴏ ᴀɴɢᴜʟᴀʀ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴀʙᴏᴜᴛ ᴀ ɢɪᴠᴇɴ ᴀxɪs ᴛʜᴀᴛ ɪs ᴇǫᴜᴀʟ ᴛᴏ ᴛʜᴇ sᴜᴍ ᴏғ ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛs ᴏғ ᴇᴀᴄʜ ᴇʟᴇᴍᴇɴᴛ ᴏғ ᴍᴀss ɪɴ ᴛʜᴇ ʙᴏᴅʏ ᴀɴᴅ ᴛʜᴇ sǫᴜᴀʀᴇ ᴏғ ᴛʜᴇ ᴇʟᴇᴍᴇɴᴛ's ᴅɪsᴛᴀɴᴄᴇ ғʀᴏᴍ ᴛʜᴇ ᴀxɪs.