A triangle wave pulse on a taut string travels in positive x–direction with speed v. the tension in the string is F, and linear mass density of string is μ. At t $$=$$ $$0$$ the shape of pulse is given $$byy(x$$,$$0)=0$$ if x

Question

A triangle wave pulse on a taut string travels in positive x–direction with speed v. the tension in the string is F, and linear mass density of string is $μ$ . At t = 0 the shape of pulse is given by

$y (x, 0) = \{\begin{array}{cc} 0 & if x < - L \\ \frac{h (L + x)}{L} & for - L < x < 0 \\ \frac{h (L - x)}{L} & for 0 < x < L \\ 0 & for x > L \end{array}$

Choose the INCORRECT statement(s). (h << L)

Infinity Learn · Accepted Answer

Wave moves in positive x direction ∴replace x by $$x-vt$$ to get yx,t $$y(x$$,$$t)=0$$ if  $$x-vt$$<−$$Lh(L+x-vt)L$$ for −$$LLPower=P(x$$,$$t)=-F$$∂y∂x∂y∂$$tP(x$$,$$t)=-F00=0$$ if  $$x-vt$$<−$$L-FhL-hvL=FvhL2$$ for −LL

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