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Seeking excellent answers in advanced mathematics
m=∫(γ)ρds=∫(0,2π)[a^2+(kt)^2]√(a^2+k^2)dt=√(a^2+k^2)[2πa^2+(8/3)(k^2)π^3]

mx=∫(γ)xρds=∫(0,2π)acost[a^2+(kt)^2]√(a^2+k^2)dt

=ak^2√(a^2+k^2)∫(0,2π)costt^2dt=4πak^2√(a^2+k^2)

my=∫(γ)yρds=∫(0,2π)asint[a^2+(kt)^2]√(a^2+k^2)dt

=ak^2√(a^2+k^2)∫(0,2π)sintt^2dt=-(4π^2)ak^2√(a^2+k^2)

mz=∫(γ)zρds=∫(0,2π)kt[a^2+(kt)^2]√(a^2+k^2)dt

=√(a^2+k^2){2(π^2)(a^2)k+4(π^4)k^4]

x(bar)=2ak^2/[a^2+(4/3)(kπ)^2]

y(bar)=-2πak^2/[a^2+(4/3)(kπ)^2]

z(bar)=[π(a^2)k+2(π^3)k^4]/[a^2+(4/3)(kπ)^2]

iz=∫(γ)(x^2+y^2)ρds=a^2√(a^2+k^2)[2πa^2+(8/3)(k^2)π^3]