A body of mass M kg (where M is the last two digits of your student ID except invalid 0) is suspended by a spring, which stretches 0.1 m when the body is attached. It is then displaced downward an additional 0.05m and released. calculate (1) the amplitude and(2) period of the resulting simple harmonic motion?
Answers
Answer:
ʟɪsᴛ sᴏᴍᴇ ᴇxᴀᴍᴘʟᴇs ᴏғ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ
ᴡʜᴇɴ ᴀɴ ᴏʙᴊᴇᴄᴛ ᴍᴏᴠᴇs ᴛᴏ ᴀɴᴅ ғʀᴏ ᴏʀ ʙᴀᴄᴋ ᴀɴᴅ ғᴏʀᴛʜ ᴀʟᴏɴɢ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ, ɪᴛ ɪs ᴄᴀʟʟᴇᴅ ᴀ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ(sʜᴍ). ᴛʜɪs ᴍᴏᴛɪᴏɴ ɪs ᴜsᴇᴅ ᴛᴏ ᴍᴏᴅᴇʟ ᴍᴀɴʏ ʀᴇᴀʟ ʟɪғᴇ-sɪᴛᴜᴀᴛɪᴏɴs ɪɴ ᴏᴜʀ ᴅᴀɪʟʏ ʟɪғᴇ.
ʟᴇᴛ ᴜs ʟᴏᴏᴋ ᴀᴛ ᴀ ғᴇᴡ ᴏғ ᴛʜᴇᴍ:
sᴡɪɴɢ
sᴡɪɴɢs ᴛʜᴀᴛ ᴡᴇ sᴇᴇ ɪɴ ᴛʜᴇ ᴘᴀʀᴋ ɪs ᴀɴ ᴇxᴀᴍᴘʟᴇ ᴏғ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ. ᴛʜᴇ ʙᴀᴄᴋ ᴀɴᴅ ғᴏʀᴛʜ, ʀᴇᴘᴇᴛɪᴛɪᴠᴇ ᴍᴏᴠᴇᴍᴇɴᴛs ᴏғ ᴛʜᴇ sᴡɪɴɢ ᴀɢᴀɪɴsᴛ ᴛʜᴇ ʀᴇsᴛᴏʀɪɴɢ ғᴏʀᴄᴇ ɪs ᴛʜᴇ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ.
ᴘᴇɴᴅᴜʟᴜᴍ
ᴛʜᴇ ᴘᴇɴᴅᴜʟᴜᴍ ᴏsᴄɪʟʟᴀᴛɪɴɢ ʙᴀᴄᴋ ᴀɴᴅ ғᴏʀᴛʜ ғʀᴏᴍ ᴛʜᴇ ᴍᴇᴀɴ ᴘᴏsɪᴛɪᴏɴ ɪs ᴀɴ ᴇxᴀᴍᴘʟᴇ ᴏғ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ.
ʙᴜɴɢᴇᴇ ᴊᴜᴍᴘɪɴɢ
ʙᴜɴɢᴇᴇ ᴊᴜᴍᴘɪɴɢ ɪs ᴀɴ ᴇxᴀᴍᴘʟᴇ ᴏғ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ. ᴛʜᴇ ᴊᴜᴍᴘᴇʀ ᴏsᴄɪʟʟᴀᴛɪɴɢ ᴜᴘ ᴀɴᴅ ᴅᴏᴡɴ ɪs ᴜɴᴅᴇʀɢᴏɪɴɢ sʜᴍ ᴅᴜᴇ ᴛᴏ ᴛʜᴇ ᴇʟᴀsᴛɪᴄɪᴛʏ ᴏғ ᴛʜᴇ ʙᴜɴɢᴇᴇ ᴄᴏʀᴅ.
ᴄʀᴀᴅʟᴇ
ᴛʜᴇ ʙᴀᴄᴋ ᴀɴᴅ ғᴏʀᴛʜ ᴍᴏᴠᴇᴍᴇɴᴛ ᴏғ ᴛʜᴇ ᴄʀᴀᴅʟᴇ ɪs ᴄᴀᴜsᴇᴅ ᴅᴜᴇ ᴛᴏ ᴀ sɪɴɢʟᴇ ᴘᴜsʜ ᴀɴᴅ ɪs ᴍᴀɪɴᴛᴀɪɴᴇᴅ ʙʏ ᴛʜᴇ ᴘʀɪɴᴄɪᴘʟᴇ ᴏғ sʜᴍ, ᴀɴᴅ ʜᴇɴᴄᴇ, ᴄᴀᴜsɪɴɢ ᴛʜᴇ ʙᴀʙʏ ᴛᴏ sʟᴇᴇᴘ.
ʜᴇᴀʀɪɴɢ
ᴛʜᴇ ᴘʀᴏᴄᴇss ᴏғ ʜᴇᴀʀɪɴɢ ɪs ɪᴍᴘᴏssɪʙʟᴇᴡɪᴛʜᴏᴜᴛ sɪᴍᴘʟᴇ ʜᴀʀᴍᴏɴɪᴄ ᴍᴏᴛɪᴏɴ. ᴛʜᴇ sᴏᴜɴᴅᴡᴀᴠᴇs ᴛʜᴀᴛ ᴇɴᴛᴇʀ ᴏᴜʀ ᴇᴀʀ ᴄᴀᴜsᴇs ᴛʜᴇ ᴇᴀʀᴅʀᴜᴍ ᴛᴏ ᴠɪʙʀᴀᴛᴇ ʙᴀᴄᴋ ᴀɴᴅ ғᴏʀᴛʜ.
ᴡᴀs ᴛʜɪs ᴀɴsᴡᴇʀ ʜᴇʟᴘғᴜʟ?
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ʀᴇʟᴀᴛᴇᴅ ǫᴜᴇsᴛɪᴏɴs & ᴀɴsᴡᴇʀs
ᴡʜᴀᴛ ᴀʀᴇ sᴇɴsᴏʀs ᴡɪᴛʜ ᴛʜᴇɪʀ ᴜsᴇs ᴍᴇɴᴛɪᴏɴ ᴀɴʏ ᴛᴡᴏ ғᴀᴄᴛs ᴀʙᴏᴜᴛ ғᴇʀɴs
ɪɴ ᴀ ʏᴇᴀsᴛ ᴄᴇʟʟ ᴅᴜʀɪɴɢ ʙᴜᴅᴅɪɴɢ ᴛʜᴇʀᴇ ᴄᴀɴ ʙᴇ ʟɪsᴛ ᴛʜᴇ ᴘʀᴏᴘᴇʀᴛɪᴇs ᴏғ ᴘᴜʀᴇ sᴜʙsᴛᴀɴᴄᴇ
ᴡᴀᴛᴇʀ ᴠᴀsᴄᴜʟᴀʀ sʏsᴛᴇᴍ ɪs ᴀ ᴅɪsᴛɪɴᴄᴛɪᴠᴇ ғᴇᴀᴛᴜʀᴇ ᴏғ ᴡʜᴀᴛ ɪs ᴛʜᴇ ᴏɴᴇ ᴏғ ᴛʜᴇ ʀᴇᴀsᴏɴs ғᴏʀ ᴍʏᴏᴘɪᴀ
ᴡʜᴀᴛ ɪs ɢᴇᴏᴍᴇᴛʀɪᴄ sʜᴀᴘᴇs ᴅᴇғɪɴɪᴛɪᴏɴ ʜᴏᴡ ᴅᴏᴇs ᴇᴍɪssɪᴏɴ ʟᴇᴀᴅ ʙʏ ᴛʜᴇ ᴠᴇʜɪᴄʟᴇs ᴀғғᴇᴄᴛ ʜᴜᴍᴀɴs
ᴡʜᴀᴛ ɪs ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ᴛʜᴇ ᴇᴀʀᴛʜ ᴅᴜʀɪɴɢ ᴀ ʀᴇᴠᴏʟᴜᴛɪᴏɴ ᴡʜɪᴄʜ ᴏғ ᴛʜᴇ ғᴏʟʟᴏᴡɪɴɢ ɪs ɴᴏᴛ ᴀ ᴠᴀʟɪᴅ ᴏᴘᴛɪᴏɴ ғᴏʀ ᴍᴏᴅᴜʟᴀᴛɪᴏɴ ᴏғ ᴡᴀᴠᴇs
ʀᴇʟᴇᴠᴀɴᴛ sᴜʙᴊᴇᴄᴛs
sɪᴍɪʟᴀʀ ǫᴜᴇsᴛɪᴏɴs
ᴇxᴘʟᴀɪɴ ᴛʜᴇ ғᴜɴᴄᴛɪᴏɴ ᴏғ ) ᴀʀᴍᴀᴛᴜʀᴇ ) ʙʀᴜsʜᴇs ) sᴘʟɪᴛ ʀɪɴɢs ɪɴ ᴀɴ ᴇʟᴇᴄᴛʀɪᴄ ᴍᴏᴛᴏʀ
ɢɪᴠᴇ ᴇxᴀᴍᴘʟᴇs ᴏғ ᴜɴɪғᴏʀᴍ ᴀɴᴅ ɴᴏɴ-ᴜɴɪғᴏʀᴍ sᴘᴇᴇᴅ
ᴀ . ᴄᴍ ɴᴇᴇᴅʟᴇ ɪs ᴘʟᴀᴄᴇᴅ ᴀᴛ ᴄᴍ ᴀᴡᴀʏ ғʀᴏᴍ ᴀ ᴄᴏɴᴠᴇx ᴍɪʀʀᴏʀ ᴏғ ғᴏᴄᴀʟ ʟᴇɴɢᴛʜ ᴏғ ᴄᴍ. ɢɪᴠᴇ ᴛʜᴇ ʟᴏᴄᴀᴛ...
sᴘᴇᴇᴅ ᴏғ sᴏᴜɴᴅ ɪs ᴍᴀxɪᴍᴜᴍ ɪɴ ᴡʜɪᴄʜ ᴀᴍᴏɴɢ ᴛʜᴇ ғᴏʟʟᴏᴡɪɴɢ? ᴀ) ɢᴀsᴇs ʙ) ᴠᴀᴄᴄᴜᴍ ᴄ) ʟɪǫᴜɪᴅs ᴅ) sᴏʟɪᴅs
ᴡʜᴀᴛ ɪs ᴀ ɴᴏɴ-ʀᴇᴄᴏʀᴅɪɴɢ ʀᴀɪɴ-ɢᴀᴜɢᴇ?
ᴡʜᴀᴛ ɪs ᴢᴇʀᴏ ᴜɴɪғᴏʀᴍ ᴠᴇʟᴏᴄɪᴛʏ ᴍᴏᴛɪᴏɴ?
ʜᴏᴡ ᴅᴏ ᴡᴇ ᴄᴏɴᴠᴇʀᴛ ɢ/ᴄᴍ^ ᴛᴏ ᴋɢ/ᴍ^?
ᴇʟᴇᴄᴛʀɪᴄ ғɪᴇʟᴅ ᴅᴜᴇ ᴛᴏ ᴀ sɪɴɢʟᴇ ᴄʜᴀʀɢᴇ ɪs ____?
ᴡʜᴀᴛ ɪs ɢᴀʟᴠᴀɴɪᴄ ᴀɴᴅ ғᴀʀᴀᴅɪᴄ ᴄᴜʀʀᴇɴᴛ?
ʀᴀᴛᴇ ᴏғ ᴄʜᴀɴɢᴇ ᴏғ ᴠᴇʟᴏᴄɪᴛʏ ɪs ᴄᴀʟʟᴇᴅ ____?
ᴄᴏᴍᴍᴇɴᴛs
ᴀᴅɴᴀɴ ǫᴜʀᴇsʜɪ ᴊᴜʟʏ , ᴀᴛ : ᴀᴍ
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