# Answer to Question #40982 in Mechanics | Relativity for KHRISTADATTA KUMAR

Question #40982

Two waves 1 and 2 are present on a string:

(35mm) sin [(8.4m ) (15.7s ) ] 1 1

y1 x t

− − = −

(35mm) sin [(8.4m ) (15.7s ) ] 1 1

y2 x t

− − = +

(i) Write the expression for the resultant wave, y = y1 + y2 in the form of wave function

for a standing wave. (ii) Determine the x coordinates of the first two antinodes, starting at

the origin and progressing towards + x direction. (iii) Determine the x coordinate of the

node that is between the antinodes of part (ii).

(35mm) sin [(8.4m ) (15.7s ) ] 1 1

y1 x t

− − = −

(35mm) sin [(8.4m ) (15.7s ) ] 1 1

y2 x t

− − = +

(i) Write the expression for the resultant wave, y = y1 + y2 in the form of wave function

for a standing wave. (ii) Determine the x coordinates of the first two antinodes, starting at

the origin and progressing towards + x direction. (iii) Determine the x coordinate of the

node that is between the antinodes of part (ii).

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