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The answer to the problems with the Millennium Bridge lies in
The points where the ball is not moving are the turning points. The distance from one turning point to where the system is at equilibrium is the
The equation for the “moment of turning point”, when all of the energy is potential energy is: E= . The energy is one-half the spring constant times the amplitude squared.
At the equilibrium point, the potential energy is
Mathematically speaking, simple harmonic motion is very similar to .
The
Fill in the blanks.
For an object in simple harmonic motion, the graph of its position versus time is a
Resonance can increase the amplitude of an oscillation by applying force at just the right
The designers of the Millennium Bridge didn’t account for oscillations.