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- Simple harmonic motion occurs whenever aan object oscillates between two positions for an indefinite length of time, with no mechanical energy lost.
- By examining the periodic motion of a maass attached to a spring we can determine how the mass's velocity reaches maximum as the mass passes through the equilibrium position and reaches maximum acceleration at maximum displacement from equilibrium.
- A restoring force is a force that acts oopposite to the direction of displacement, and tries to return the body to it's original position (equilibrium).
- Robert Hooke determined that the amount of restoring force "F" in an object divided by the displacement "x" that occurs produces a constant variable "k" within the objects elastic limits.
-This proportionality is known as Hooke's Law and can be written as:
k = F/x or F = kx
- The work done in compressing or stretchiing a spring is converted into Elastic Potential Energy and can be determined using the Equation:
W = PE = 1/2 kx2
- A simple pendulum exhibits periodic motiion as it swings back and forth, but does not displace very far from the equilibrium position.
- The restoring force of a simple pendulumm is the perpendicular component of the pendulum's weight (Fgx).
Fgx = FgSIN θ
- The relationship between velocity and accceleration in a simple pendulum is the same as that of a spring mass.
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