Consider the helical wire x(t) = cos(t), y(t) = sin(t), z = t, 0 ≤t≤ 2π whose linear density is = x² + y² + z². (a) the mass of the wire = (b) the center of mass of the wire xcm = Yem = Zcm = (c) The moment of inertia I₂ = (d) The radius of gyration k₂ =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the helical wire x(t) = cos(t), y(t) = sin(t), z = t, 0 ≤t≤ 2π whose linear density is = x² + y² + z².
(a) the mass of the wire =
(b) the center of mass of the wire
xcm =
Yem =
Zcm =
(c) The moment of inertia I₂ =
(d) The radius of gyration k₂ =
Transcribed Image Text:Consider the helical wire x(t) = cos(t), y(t) = sin(t), z = t, 0 ≤t≤ 2π whose linear density is = x² + y² + z². (a) the mass of the wire = (b) the center of mass of the wire xcm = Yem = Zcm = (c) The moment of inertia I₂ = (d) The radius of gyration k₂ =
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