velocity v and displacement x of a particle executing simple harmonic motion are related ad vdv/dx=-w^2x AT x=0,v=v0 find - Physics - Basic Mathematics

Question

velocity v and displacement x of a particle executing simple
harmonic motion are related ad vdv/dx=-w^2x AT x=0,v=v0 find
velocity v when displacement become x

Pintu B. · Accepted Answer

Dear Student,
Here in this case we get that ,vdvdx=-ω2x⇒∫v0vvdv = -ω2∫0xx dx⇒v2-v022= -ω2x22⇒v2=v02-ω2x2⇒v=v02-ω2x2

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velocity v and displacement x of a particle executing simple harmonic motion are related ad vdv/dx=-w^2x. AT x=0,v=v0.find velocity v when displacement become x