Hamilton's principle means
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ɪᴛ ꜱᴛᴀᴛᴇꜱ ᴛʜᴀᴛ ᴛʜᴇ ᴅʏɴᴀᴍɪᴄꜱ ᴏꜰ ᴀ ᴘʜʏꜱɪᴄᴀʟ ꜱʏꜱᴛᴇᴍ ᴀʀᴇ ᴅᴇᴛᴇʀᴍɪɴᴇᴅ ʙʏ ᴀ ᴠᴀʀɪᴀᴛɪᴏɴᴀʟ ᴘʀᴏʙʟᴇᴍ ꜰᴏʀ ᴀ ꜰᴜɴᴄᴛɪᴏɴᴀʟ ʙᴀꜱᴇᴅ ᴏɴ ᴀ ꜱɪɴɢʟᴇ ꜰᴜɴᴄᴛɪᴏɴ, ᴛʜᴇ ʟᴀɢʀᴀɴɢɪᴀɴ, ᴡʜɪᴄʜ ᴍᴀʏ ᴄᴏɴᴛᴀɪɴꜱ ᴀʟʟ ᴘʜʏꜱɪᴄᴀʟ ɪɴꜰᴏʀᴍᴀᴛɪᴏɴ ᴄᴏɴᴄᴇʀɴɪɴɢ ᴛʜᴇ ꜱʏꜱᴛᴇᴍ ᴀɴᴅ ᴛʜᴇ ꜰᴏʀᴄᴇꜱ ᴀᴄᴛɪɴɢ ᴏɴ ɪᴛ.
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Explanation:
It states that the dynamics of a physical system are determined by a variational problem for a functional based on a single function, the Lagrangian, which may contains all physical information concerning the system and the forces acting on it.
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