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To have a concrete illustration of discontinuous velocity, remember an effective spring season-mass program into size oscillating towards an idealized surface that have rubbing. The fresh new push to your size is equal to the new vector sum of springtime push in addition to kinetic frictional strength If price adjustment sign (on the restrict and you will limited displacements ), the brand new magnitude of the stamina into the bulk variations by the twice the latest magnitude of the frictional drive, because of the spring push try constant as well as the frictional push reverses station with acceleration. The fresh new soar in the speed means the benefit towards the mass divided by size. Which is, anytime the newest mass undergoes a minimal or restrict displacement, the fresh new size experience a good discontinuous velocity, as well as the jerk caters a good Dirac delta until the size ends up. The fresh fixed rubbing push conforms into the recurring spring season force, starting harmony that have no websites drive and you will no speed.
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