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On free vibration the beam or structure is not suffering influence of forces (Beam on space). In forced vibration the structure is under presence of force example bridges.

Later on will you discover the free vibration is important to obtain natural frequencies and mode shapes.

the difference b\w forced and free vibration can be understand by the examples.............a) the vibration of a pendulum is free vibration which needs no external force to vibrate.

b) the vibration of a machine like a drill is forced vibration which needs an external force to vibrate.

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