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to sum up the discussion of previous slides I have concluded all the three equations in this single slide so equation number one represent the classical grueblers equation so any of the mechanism which has only one fixed or grounded link then you can use equation number one which is m equal to 3 L minus 2 J minus 3 G if there are more than one grounded or fixed links in a mechanism then equation number 1 is not valid you cannot use equation number 2 but instead of equation number 1 you can utilize or you can use equation number 2 to find mobility or degree of freedom of mechanism so if there are more than one grounded links then you can use equation number 2 which is m equal to 3 multiplied by L minus 1 closing the bracket minus 2j please keep this point in your mind that if there are more than one grounding links or fixed links in a mechanism and the number can be any like 2 3 4 5 6 and you can count them if there are more than one grounded or fixed links in a mechanism then you hav