Your friend is using their hand to wiggle a large rope such that a wave travels through it. They move their hand upwards twice every second, a total distance of 0.5m from the bottom to the top. All disturbances travel through the rope at a speed of 2 m/s. Mathematically describe the vertical displacement of the rope as a function of time t and horizontal position x. Explain your work in detail. You can assume that when your friend's hand is in the maximum up position is when you start counting time. You let your friend get comfortable with making the wave, and then you snap two pictures one after another at time t=5.00s and at t=5.25s. Draw y-vs-x graphs (with axes labels and values) showing what the wave looked like those two moments in time. Explain how you determined the shape of the graphs.

Your friend is using their hand to wiggle a large rope such that a wave travels through it. They move their hand upwards twice every second, a total distance of 0.5m from the bottom to the top. All disturbances travel through the rope at a speed of 2 m/s. Mathematically describe the vertical displacement of the rope as a function of time t and horizontal position x. Explain your work in detail. You can assume that when your friend's hand is in the maximum up position is when you start counting time. You let your friend get comfortable with making the wave, and then you snap two pictures one after another at time t=5.00s and at t=5.25s. Draw y-vs-x graphs (with axes labels and values) showing what the wave looked like those two moments in time. Explain how you determined the shape of the graphs.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 149CP: Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . The resultant wave form when...

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