A nonuniform wire of length L and mass M has a variable lin- ear mass density given by = kx, where x is the distance from one end of the wire and k is a constant. (a) Show that M = KL²12. (b) Show that the time t required for a pulse gen- erated at one end of the wire to travel to the other end is given by t = √8ML/9F where F is the tension in the wire.

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A nonuniform wire of length L and mass M has a variable lin-
ear mass density given by = kx, where x is the distance
from one end of the wire and k is a constant. (a) Show that
M = KL²12. (b) Show that the time t required for a pulse gen-
erated at one end of the wire to travel to the other end is given
by t = √8ML/9F where F is the tension in the wire.
Transcribed Image Text:A nonuniform wire of length L and mass M has a variable lin- ear mass density given by = kx, where x is the distance from one end of the wire and k is a constant. (a) Show that M = KL²12. (b) Show that the time t required for a pulse gen- erated at one end of the wire to travel to the other end is given by t = √8ML/9F where F is the tension in the wire.
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