at what angle the time periods are equal for simple and conical pendulum?
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⬆️⬆️⬆️⬆️⬆️⛔⛔⛔♦️♦️♦️A conical pendulum consists of a weight (or bob) fixed on the end of a string or rod suspended from a pivot. Its construction is similar to an ordinary pendulum; however, instead of______________ swinging back and forth, the bob of a conical pendulum moves at a constant speed ____________in a circle with the string (or rod) tracing out a cone.
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⬆️⬆️⬆️⬆️⬆️⛔⛔⛔♦️♦️♦️A conical pendulum consists of a weight (or bob) fixed on the end of a string or rod suspended from a pivot. Its construction is similar to an ordinary pendulum; however, instead of______________ swinging back and forth, the bob of a conical pendulum moves at a constant speed ____________in a circle with the string (or rod) tracing out a cone.
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ᴀ ᴄᴏɴɪᴄᴀʟ ᴘᴇɴᴅᴜʟᴜᴍ ᴄᴏɴsɪsᴛs ᴏғ ᴀ ᴡᴇɪɢʜᴛ (ᴏʀ ʙᴏʙ) ғɪxᴇᴅ ᴏɴ ᴛʜᴇ ᴇɴᴅ ᴏғ ᴀ sᴛʀɪɴɢ ᴏʀ ʀᴏᴅ sᴜsᴘᴇɴᴅᴇᴅ ғʀᴏᴍ ᴀ ᴘɪᴠᴏᴛ.
ɪᴛs ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ ɪs sɪᴍɪʟᴀʀ ᴛᴏ ᴀɴ ᴏʀᴅɪɴᴀʀʏ ᴘᴇɴᴅᴜʟᴜᴍ; ʜᴏᴡᴇᴠᴇʀ, ɪɴsᴛᴇᴀᴅ ᴏғ sᴡɪɴɢɪɴɢ ʙᴀᴄᴋ ᴀɴᴅ ғᴏʀᴛʜ, ᴛʜᴇ ʙᴏʙ ᴏғ ᴀ ᴄᴏɴɪᴄᴀʟ ᴘᴇɴᴅᴜʟᴜᴍ ᴍᴏᴠᴇs ᴀᴛ ᴀ ᴄᴏɴsᴛᴀɴᴛ sᴘᴇᴇᴅ ɪɴ ᴀ ᴄɪʀᴄʟᴇ ᴡɪᴛʜ ᴛʜᴇ sᴛʀɪɴɢ (ᴏʀ ʀᴏᴅ) ᴛʀᴀᴄɪɴɢ ᴏᴜᴛ ᴀ ᴄᴏɴᴇ. ᴛʜᴇ ᴄᴏɴɪᴄᴀʟ ᴘᴇɴᴅᴜʟᴜᴍ ᴡᴀs ғɪʀsᴛ sᴛᴜᴅɪᴇᴅ ʙʏ ᴛʜᴇ ᴇɴɢʟɪsʜ sᴄɪᴇɴᴛɪsᴛ ʀᴏʙᴇʀᴛ ʜᴏᴏᴋᴇ ᴀʀᴏᴜɴᴅ 1660[1] ᴀs ᴀ ᴍᴏᴅᴇʟ ғᴏʀ ᴛʜᴇ ᴏʀʙɪᴛᴀʟ ᴍᴏᴛɪᴏɴ ᴏғ ᴘʟᴀɴᴇᴛs.
ɪɴ 1673 ᴅᴜᴛᴄʜ sᴄɪᴇɴᴛɪsᴛ ᴄʜʀɪsᴛɪᴀᴀɴ ʜᴜʏɢᴇɴs ᴄᴀʟᴄᴜʟᴀᴛᴇᴅ ɪᴛs ᴘᴇʀɪᴏᴅ, ᴜsɪɴɢ ʜɪs ɴᴇᴡ ᴄᴏɴᴄᴇᴘᴛ ᴏғ ᴄᴇɴᴛʀɪғᴜɢᴀʟ ғᴏʀᴄᴇ ɪɴ ʜɪs ʙᴏᴏᴋ ʜᴏʀᴏʟᴏɢɪᴜᴍ ᴏsᴄɪʟʟᴀᴛᴏʀɪᴜᴍ. ʟᴀᴛᴇʀ ɪᴛ ᴡᴀs ᴜsᴇᴅ ᴀs ᴛʜᴇ ᴛɪᴍᴇᴋᴇᴇᴘɪɴɢ ᴇʟᴇᴍᴇɴᴛ ɪɴ ᴀ ғᴇᴡ ᴍᴇᴄʜᴀɴɪᴄᴀʟ ᴄʟᴏᴄᴋs ᴀɴᴅ ᴏᴛʜᴇʀ ᴄʟᴏᴄᴋᴡᴏʀᴋ ᴛɪᴍɪɴɢ ᴅᴇᴠɪᴄᴇs.
ᴀ ᴄᴏɴɪᴄᴀʟ ᴘᴇɴᴅᴜʟᴜᴍ ᴄᴏɴsɪsᴛs ᴏғ ᴀ ᴡᴇɪɢʜᴛ (ᴏʀ ʙᴏʙ) ғɪxᴇᴅ ᴏɴ ᴛʜᴇ ᴇɴᴅ ᴏғ ᴀ sᴛʀɪɴɢ ᴏʀ ʀᴏᴅ sᴜsᴘᴇɴᴅᴇᴅ ғʀᴏᴍ ᴀ ᴘɪᴠᴏᴛ.
ɪᴛs ᴄᴏɴsᴛʀᴜᴄᴛɪᴏɴ ɪs sɪᴍɪʟᴀʀ ᴛᴏ ᴀɴ ᴏʀᴅɪɴᴀʀʏ ᴘᴇɴᴅᴜʟᴜᴍ; ʜᴏᴡᴇᴠᴇʀ, ɪɴsᴛᴇᴀᴅ ᴏғ sᴡɪɴɢɪɴɢ ʙᴀᴄᴋ ᴀɴᴅ ғᴏʀᴛʜ, ᴛʜᴇ ʙᴏʙ ᴏғ ᴀ ᴄᴏɴɪᴄᴀʟ ᴘᴇɴᴅᴜʟᴜᴍ ᴍᴏᴠᴇs ᴀᴛ ᴀ ᴄᴏɴsᴛᴀɴᴛ sᴘᴇᴇᴅ ɪɴ ᴀ ᴄɪʀᴄʟᴇ ᴡɪᴛʜ ᴛʜᴇ sᴛʀɪɴɢ (ᴏʀ ʀᴏᴅ) ᴛʀᴀᴄɪɴɢ ᴏᴜᴛ ᴀ ᴄᴏɴᴇ. ᴛʜᴇ ᴄᴏɴɪᴄᴀʟ ᴘᴇɴᴅᴜʟᴜᴍ ᴡᴀs ғɪʀsᴛ sᴛᴜᴅɪᴇᴅ ʙʏ ᴛʜᴇ ᴇɴɢʟɪsʜ sᴄɪᴇɴᴛɪsᴛ ʀᴏʙᴇʀᴛ ʜᴏᴏᴋᴇ ᴀʀᴏᴜɴᴅ 1660[1] ᴀs ᴀ ᴍᴏᴅᴇʟ ғᴏʀ ᴛʜᴇ ᴏʀʙɪᴛᴀʟ ᴍᴏᴛɪᴏɴ ᴏғ ᴘʟᴀɴᴇᴛs.
ɪɴ 1673 ᴅᴜᴛᴄʜ sᴄɪᴇɴᴛɪsᴛ ᴄʜʀɪsᴛɪᴀᴀɴ ʜᴜʏɢᴇɴs ᴄᴀʟᴄᴜʟᴀᴛᴇᴅ ɪᴛs ᴘᴇʀɪᴏᴅ, ᴜsɪɴɢ ʜɪs ɴᴇᴡ ᴄᴏɴᴄᴇᴘᴛ ᴏғ ᴄᴇɴᴛʀɪғᴜɢᴀʟ ғᴏʀᴄᴇ ɪɴ ʜɪs ʙᴏᴏᴋ ʜᴏʀᴏʟᴏɢɪᴜᴍ ᴏsᴄɪʟʟᴀᴛᴏʀɪᴜᴍ. ʟᴀᴛᴇʀ ɪᴛ ᴡᴀs ᴜsᴇᴅ ᴀs ᴛʜᴇ ᴛɪᴍᴇᴋᴇᴇᴘɪɴɢ ᴇʟᴇᴍᴇɴᴛ ɪɴ ᴀ ғᴇᴡ ᴍᴇᴄʜᴀɴɪᴄᴀʟ ᴄʟᴏᴄᴋs ᴀɴᴅ ᴏᴛʜᴇʀ ᴄʟᴏᴄᴋᴡᴏʀᴋ ᴛɪᴍɪɴɢ ᴅᴇᴠɪᴄᴇs.
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