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One end of a 14.0 -m-long wire having a total mass of0.800 kg is fastened to a fixed support in the ceiling, and a7.50 kg object is hung from the other end. If the wire is strucka transverse blow at one end, how much time does the pulsetake to reach the other end? Now much time does the pulsealong the length of the wire.

0.39$s$

Physics 101 Mechanics

Chapter 12

Mechanical Waves and Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

University of Washington

Simon Fraser University

University of Sheffield

McMaster University

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we're told that one end of a 14 meter long a wire having a total mass of 0.8 kilograms is fastened to a fixed support in the ceiling, and a 7.5 kilogram object is hung from the other. So here we have our wiring from the ceiling. We have our my ass here hanging on the end. This has a mess. Mm. And the weight of em information about the wire. It has a mass. It has a length. It has a linear density and the attention. So if the wire is struck, transfers blow it one. And so on the saints Get up here. We gotta figure out how much time does the post take to reach the other end? Neglect the variation in tension along the wire. The attention is increasing because from the top to the bottom here a little bit because of the way to the wire. But we hit something here, and then it travels down here. I want to figure out how long that takes. So we know that the velocity of a wave in this wire is the square root of the tension provided by the linear density and So the linear density is the total mass divided by the length and the tension is mg. And so he plugged at all under a copy later. And we get 37.1 meters per second now to find the time. Okay, so he is a constant. So the time is gonna be the distance traveled, divided by the speed. And so we get 15 Mac meters divided by 37.1 meters per second. What? We get 0.39 seconds. Also for kicks. Figure out what the frequency is of waves in this string and we put out that in and we get there. It's actually a pretty low low frequency one point to a hurt.

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