![]() ![]() If we superimpose waves with k1 10 and k2 12, as is shown in figure 1.7, we see that the x spacing of the regions of maximum amplitude has decreased by a factor of two. The principle states that the load effects caused by two or more loadings in a linearly elastic structure are equal to the sum of the load effects caused by the individual loading. ![]() To think about: What happens if the two have different masses? Do we still get these beats - can the larger pendulum transfer all its kinetic energy to the smaller?Įxercise: try pendulums of different lengths, hung so the bobs are at the same level, small oscillation amplitude, same spring as above. According to this superposition principle, the total force acting on a given charge is equal to the vector sum of forces exerted on it by all the other charges. 7: Superposition of two sine waves with equal amplitudes and wavenumbers k1 10 and k2 12. The principle of superposition is another very important principle used in structural analysis. \), but the second term sets the overall oscillation amplitude: it's slowly varying, going to zero periodically (at which point the other pendulum has maximum kinetic energy). The principle of superposition therefore has a clear implication for the relative age of a vertical succession of strata. ![]()
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