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How to Solve Mass–Spring Systems (Free Undamped Motion)
In this video, we derive and solve the differential equation that models a mass–spring system with no damping and no external forcing. We begin with the physics: Hooke’s Law: F = −kx Newton’s Second Law: F = ma Combining these gives the equation of motion for free undamped motion: m d²x/dt² + kx = 0 You’ll learn how to: Derive the ...
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