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

Vijay Shankar Yadav · Accepted Answer

Dear Student,
We have vdvdx=-w2x or∫v0vvdv=-w2∫0xxdxv22-v022=-w2x22v=v02-w2x2
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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..