Uploaded June 2012 | Updated September 2026, 2 weeks ago
Two or more air carts are connected by springs on an air track. When this system is at resonant frequency, symmetrical patterns called normal modes appear. The normal modes are shown in both undriven and driven cases. In the undriven examples, the normal modes are found by placing the carts at certain distances from each other and then letting them oscillate. In the driven examples they are found by driving the system with a motor, and varying the frequency until the normal mode patterns appear. Both of these methods are shown for systems of two, three, and five coupled carts.
Two or more air carts are connected by springs on an air track. When this system is at resonant frequency, symmetrical patterns called normal modes appear. The normal modes are shown in both undriven and driven cases. In the undriven examples, the normal modes are found by placing the carts at certain distances from each other and then letting them oscillate. In the driven examples they are found by driving the system with a motor, and varying the frequency until the normal mode patterns appear. Both of these methods are shown for systems of two, three, and five coupled carts.