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Summer95
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I want to make sure I have this right before I move on to the rest of this problem!
1. Homework Statement
A string with mas M and length L is hanging freely and the mass is uniformly distributed along its length.
a: Fend the tension in the string as a function of x, M, L , and g
b: Show that speed of transverse wave v is x dependent and find v as a function of x, M, L, and g.
c:
a: ##F_{T}=\frac{L-x}{L}Mg##
b: ##v=\sqrt{\frac{F_{T}}{\mu }}=\sqrt{\frac{\frac{L-x}{L}Mg}{\frac{M}{L}}}=\sqrt{\frac{L(L-x)g}{L}}=\sqrt{(L-x)g}##
1. Homework Statement
A string with mas M and length L is hanging freely and the mass is uniformly distributed along its length.
Homework Equations
a: Fend the tension in the string as a function of x, M, L , and g
b: Show that speed of transverse wave v is x dependent and find v as a function of x, M, L, and g.
c:
The Attempt at a Solution
a: ##F_{T}=\frac{L-x}{L}Mg##
b: ##v=\sqrt{\frac{F_{T}}{\mu }}=\sqrt{\frac{\frac{L-x}{L}Mg}{\frac{M}{L}}}=\sqrt{\frac{L(L-x)g}{L}}=\sqrt{(L-x)g}##