Discuss S.H.M as a special case of circular motion and derive the
expression for displacement and velocity of a body executing S.H.M
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sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ ᴏʀ sʜᴍ ɪs ᴅᴇғɪɴᴇᴅ ᴀs ᴀ ᴍᴏᴛɪᴏɴ ɪɴ ᴡʜɪᴄʜ ᴛʜᴇ ʀᴇsᴛᴏʀɪɴɢ ғᴏʀᴄᴇ ɪs ᴅɪʀᴇᴄᴛʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ᴛʜᴇ ᴅɪsᴘʟᴀᴄᴇᴍᴇɴᴛ ᴏғ ᴛʜᴇ ʙᴏᴅʏ ғʀᴏᴍ ɪᴛs ᴍᴇᴀɴ ᴘᴏsɪᴛɪᴏɴ. ... ᴛʜᴇ ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ ᴏғ ᴀ ᴘᴀʀᴛɪᴄʟᴇ ᴇxᴇᴄᴜᴛɪɴɢ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ ɪs ɢɪᴠᴇɴ ʙʏ, ᴀ(ᴛ) = -ω2 x(ᴛ). ʜᴇʀᴇ, ω ɪs ᴛʜᴇ ᴀɴɢᴜʟᴀʀ ᴠᴇʟᴏᴄɪᴛʏ ᴏғ ᴛʜᴇ ᴘᴀʀᴛɪᴄʟᴇ
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