Question

draw a neat labelled diagram of the first two modes of vibration of string stretched between two rigid support.​

Answer 1

Answer:

Consider a string of linear density m stretched between two rigid supports a distance L apart. Let T be the temsion in the string

Stationary waves set up on the string are suhjected to two boundary conditions the displacement y=0 at x=0 and at x=L all times. That is. there must be a node at each fixed end. These two boundary conditions limit the possible modes of vibration to a discrete set of frequencies such that there are an integral number q of loops between the two fixed ends

Answer 2

The diagram and description of the first two modes of vibration of stretched string between two rigid support is as follows;

1. Fundamental mode or first harmonic: Diagram b represents the fundamental mode or the first harmonic. It has two nodes and one antinode. It is the lowest frequency mode.
2. First overtone or second harmonic: Diagram c represents the first overtone or second harmonic. It has three nodes and two antinodes. Its frequency is a multiple of fundamental mode or the first harmonic.