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    • https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/14%3A_Waves/14.06%3A_Superposition_of_waves_and_interference
      Suppose that you hold one end of a rope and shake it with a specific frequency, creating waves that are described by: \[\begin{aligned} D_1(x,t) = A_1\sin(k_1x-\omega_1t+\phi_1)\end{aligned}\] Your fr...Suppose that you hold one end of a rope and shake it with a specific frequency, creating waves that are described by: \[\begin{aligned} D_1(x,t) = A_1\sin(k_1x-\omega_1t+\phi_1)\end{aligned}\] Your friend, at the other end of the rope shakes the rope with a different frequency, creating waves that propagate in the opposite direction and that are described by: \[\begin{aligned} D_2(x,t) = A_2\sin(k_2x+\omega_2t+\phi_2)\end{aligned}\] The superposition principle states that the net displacement a…

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