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Introductory Physics Homework Help
Is the Total Force in Damped Harmonic Motion Always Opposite to Velocity?
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[QUOTE="fcoulomb, post: 5950815, member: 641763"] [h2]Homework Statement [/h2] Reading chapter 4 of Morin's "Introduction to classical mechanics" I came across to the explanation of the damped harmonic motion. The mass m is subject to a drag force proportional to its velocity, ##F_f = -bv ##. He says that the total force of the mass is ##F= -b \dot{x} -kx## and considering that ##F= m\ddot{x} ## we get this differential equation $$ \ddot{x} +\frac{b}{m} \dot{x} + \frac{k}{m} x=0$$ But the total force should be ##F= -b \dot{x} +kx##, shouldn't it? These two forces have opposite direction! [/QUOTE]
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Introductory Physics Homework Help
Is the Total Force in Damped Harmonic Motion Always Opposite to Velocity?
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