A string clamped at both ends vibrates in its fundamental mode. Is there any positive (except the ends) on the string which can be touched without disturbing the motion? What if the string vibrates in its first overtone?



Yes, at the centre. The centre position is a node. If the string vibrates in the first overtone, then


there will be two position where that would be possible, one at x=0 and another at x=L (length of


the string)



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