== Consider the helical wire x(t) = cos(t), y(t) = sin(t), z=t,0≤t≤2 whose linear density is 6 = x² + y² + z². 8π (a) the mass of the wire = √2 2+ ☑ 3 (b) the center of mass of the wire xcm Απ 8n 2π+ 3 Απ' Yem 3 8π 0 2π + 3 Zem (2x²+4x) (2) 2+ 3 (c) The moment of inertia I₂ = √2 2+ 8π 3 (d) The radius of gyration k, 1

Understanding Business
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Author:William Nickels
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Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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==
Consider the helical wire x(t) = cos(t), y(t) = sin(t), z=t,0≤t≤2 whose linear density is 6 = x² + y² + z².
8π
(a) the mass of the wire = √2 2+
☑
3
(b) the center of mass of the wire
xcm
Απ
8n
2π+
3
Απ'
Yem
3
8π
0
2π +
3
Zem
(2x²+4x)
(2)
2+
3
(c) The moment of inertia I₂ = √2 2+
8π
3
(d) The radius of gyration k, 1
Transcribed Image Text:== Consider the helical wire x(t) = cos(t), y(t) = sin(t), z=t,0≤t≤2 whose linear density is 6 = x² + y² + z². 8π (a) the mass of the wire = √2 2+ ☑ 3 (b) the center of mass of the wire xcm Απ 8n 2π+ 3 Απ' Yem 3 8π 0 2π + 3 Zem (2x²+4x) (2) 2+ 3 (c) The moment of inertia I₂ = √2 2+ 8π 3 (d) The radius of gyration k, 1
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