*105. G0 (a) A uniform rope of mass m and length L is hanging straight down from the ceiling. A small-amplitude transverse wave is sent up the rope from the bottom end. Derive an expression that gives the speed v of the wave on the rope in terms of the distance y above the bottom end of the rope and the magnitude g of the acceleration due to gravity. (b) Use the expression that you have derived to calculate the speeds at distances of 0.50 m and 2.0 m above the bottom end of the rope.

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Chapter1: Units, Trigonometry. And Vectors
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*105. G0 (a) A uniform rope of mass m and length L is hanging straight
down from the ceiling. A small-amplitude transverse wave is sent up
the rope from the bottom end. Derive an expression that gives the
speed v of the wave on the rope in terms of the distance y above the
bottom end of the rope and the magnitude g of the acceleration due
to gravity. (b) Use the expression that you have derived to calculate
the speeds at distances of 0.50 m and 2.0 m above the bottom end of
the rope.
Transcribed Image Text:*105. G0 (a) A uniform rope of mass m and length L is hanging straight down from the ceiling. A small-amplitude transverse wave is sent up the rope from the bottom end. Derive an expression that gives the speed v of the wave on the rope in terms of the distance y above the bottom end of the rope and the magnitude g of the acceleration due to gravity. (b) Use the expression that you have derived to calculate the speeds at distances of 0.50 m and 2.0 m above the bottom end of the rope.
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