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A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = ť², 0(t) = t where t is time. The kinetic energy of the particle at time t = 2 is

A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) = ť², 0(t) = t where t is time. The kinetic energy of the particle at time t = 2 is

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) =t², 8(t) = t where t is time. The kinetic energy of the particle at time t = 2 is
Transcribed Image Text:A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by r(t) =t², 8(t) = t where t is time. The kinetic energy of the particle at time t = 2 is
Expert Solution
Step 1

Given,

Mass of particle = m = 1 unit (As particle has unit mass )

Radius of particle as a function of time = r(t) = t2

Angle of particle as a function of time = θ(t) = t

 

Let us use some common notations as listed below:

Angular velocity = ω

Tangential velocity = Vt

Radial velocity = Vr

Total velocity = V

steps

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