A string of length L is stretched along the x-axis and is rigidly clam

1.	A string of length L is stretched along the x-axis and is rigidly clamped at its two ends. It undergoes transverse vibration. If n is an integer, which of the following relations may represent the shape of the string at any time t?(a) y = Asin(nπx/L) cos ωt (b) y = Asin(nπx/L) sin ωt(c) y = Acos(nπx/L) cos ωt(d) y = Asin(nπx/L) sin ωt
Answer» Correct Answer is: (a) y = Asin(nπx/L) cos ωt , (b) y = Asin(nπx/L) sin ωt y = 0 at x = 0. This can be satisfied by the term sin (nπx/L)

A string of length L is stretched along the x-axis and is rigidly clamped at its two ends. It undergoes transverse vibration. If n is an integer, which of the following relations may represent the shape of the string at any time t?(a) y = Asin(nπx/L) cos ωt (b) y = Asin(nπx/L) sin ωt(c) y = Acos(nπx/L) cos ωt(d) y = Asin(nπx/L) sin ωt

Answer»

Correct Answer is: (a) y = Asin(nπx/L) cos ωt , (b) y = Asin(nπx/L) sin ωt

y = 0 at x = 0. This can be satisfied by the term sin (nπx/L)

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