Here are the essential concepts you must grasp in order to answer the question correctly.
Simple Harmonic Motion (SHM)
Simple Harmonic Motion is a type of periodic motion where an object oscillates around an equilibrium position. In SHM, the restoring force is directly proportional to the displacement from equilibrium and acts in the opposite direction. This motion can be described by sinusoidal functions, and key parameters include amplitude, frequency, and period.
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Energy in SHM
In Simple Harmonic Motion, energy oscillates between kinetic and potential forms. The total mechanical energy remains constant, with potential energy being highest at maximum displacement (amplitude) and kinetic energy being highest at the equilibrium position. The speed of the mass can be determined using energy conservation principles, where the sum of kinetic and potential energy equals the total energy.
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Velocity in SHM
The velocity of an object in Simple Harmonic Motion can be calculated using the formula v = ω√(A² - x²), where ω is the angular frequency, A is the amplitude, and x is the displacement from equilibrium. This relationship shows how the speed varies with position, being maximum at equilibrium and decreasing as the object moves away from it.
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