spring that connects them, as shown in Figure 4.2. The spring is at its unstretched length when the two pendulums are at their equilibrium positions. The mass and length of each pendulum are m and l, respectively, and the spring constant is k. Displacements of the two masses from their equilibrium positions are i:El and xb, respectively, and now, in contrast to Section 4.1, we consider oscillations in the plane of the page. Figure 4.2 Two simple pendulums coupled together by a light horizontal spring of spring constant k. The displacements of the two pendulum masses from their equilibrium positions are x3 and xb, respectively, and these lie in the plane of the page. Problem 2. Take a look at Figure 4.2 of your book. As we have seen in the demonstration shown in class, if we move one of the two masses from equilibrium and let the system go, the oscillations of the mass we moved will gradually decrease and reach zero amplitude, while the oscillations of the other mass will gradually increase and will reach a maximum when the oscillations of the first mass have for a moment die out. This behavior continues as long as damping is not important. How do you expect the beating behavior to change if we decrease the length 1 of the pendulums but we keep the same initial conditions