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Basic Math/simple harmonic motion

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Question
hi there,
i want to know what is the nature of the graph of kinetic energy along y axis and displacement along x axis for a particle performing simple harmonic motion ?

i think i  am sure it is an inverted parabola symmetric about y axis
please i would like a confirmation or correction

Answer

KE
Kunal,

Well, I do not know this concept in detail. But if we consider the basics:

When an object is set into motion, its KE is zero when it is at the maximum and minimum displacement and it is KE is maximum when it comes to original position (0 displacement) while in simple harmonic motion. Dissipation is neglected here. I am attaching bitmap of the graph of energy of the object in simple harmonic motion. Though time is on x-axis, displacements are also shown there. Considering all these facts, yes it is inverted parabola symmetric about y axis.

I hope I could add something to your knowledge.

All the best.

Regards,
Pawan
    Questioner's Rating
    Rating(1-10)Knowledgeability = 10Clarity of Response = 10Politeness = 10
    Commentit was great pawan thanks for your help


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Pawan Musale

Expertise

I can answer Basic Mathematics questions like: Natural Numbers, Integers, Real Numbers, Complex Numbers, Number Theory, Geometry, Trigonometry, Graph Theory, Square Roots, Basic Integration, Profit-Loss problems, Work-Time problems, Equations etc I can try to answer questions of probability and set theory

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Tutoring on allexperts.com since long time

Education/Credentials
I am Bachelor of Engineering (Instrumentation) from the reputed institute in India.

Awards and Honors
I was 18th in High School Scholarship examination in Maharashtra State of India. I was second in Mathematics in Maharashtra State in Secondary School Certificate examination.

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