Question

a string is fixed at the two ends and is vibrating in its fundamental mode It is known that the two ends will be at rest apart from this is there any position on the string which can be touched so as not to disturb the motion of the string? what will be the answer to this question if the string is vibrating in its first and second overtones. ​

Answer 1

Answer ⇒ No.

Explanation ⇒ We know that in case of the fundamental mode, all points except the ends are vibrating with different amplitudes.

Now, touching any point other than the ends will disturb the motion.

When the string will vibrates in the first overtone there is a node also at the midpoint which is stationary.

This midpoint can be touched without disturbing the motion.

Thus, we can say that there is no point in the string which can satisfy the given condition.

hope these will help you.....

Answer 2

Explanation:

given condition not satisfied explanation is in photo