Question

find the centre of mass of semi circular ring with derivation

pls ans it ​

Answer 1

Answer:

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ᴀꜱ ᴛʜᴇ ᴡɪʀᴇ ɪꜱ ᴜɴɪꜰᴏʀᴍ, ᴛʜᴇ ᴍᴀꜱꜱ ᴩᴇʀ ᴜɴɪᴛ ʟᴇɴɢᴛʜ ᴏꜰ ᴛʜᴇ ᴡɪʀᴇ ɪꜱ πʀᴍ. ᴛʜᴇ ᴍᴀꜱꜱ ᴏꜰ ᴛʜᴇ ᴇʟᴇᴍᴇɴᴛ ɪꜱ, ᴛʜᴇʀᴇꜰᴏʀᴇ,

ᴅᴍ=(πʀᴍ)(ʀᴅθ)=πᴍᴅθ

ᴛʜᴇ ᴄᴏᴏʀᴅɪɴᴀᴛᴇꜱ ᴏꜰ ᴛʜᴇ ᴄᴇɴᴛᴇʀ ᴏꜰ ᴍᴀꜱꜱ ᴀʀᴇ

x=ᴍ1∫xᴅᴍ=ᴍ1∫0π(ʀᴄᴏꜱθ)(πᴍ)ᴅθ=0

Y=ᴍ1∫yᴅᴍ=ᴍ1∫0π(ʀꜱɪɴθ)(πᴍ)ᴅθ=π2ʀ

ʜᴇɴᴄᴇ, ᴩᴏꜱɪᴛɪᴏɴ ᴏꜰ ᴄᴇɴᴛᴇʀ ᴏꜰ ᴍᴀꜱꜱ, (0,π2ʀ)

Answer 2

Answer:

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