# HW13 - Physics 3122 Fall 2010 Homework Set 13 Solutions(not...

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Unformatted text preview: Physics 3122, Fall 2010: Homework Set 13 Solutions (not graded). 6.1 ( x horizontal and y vertical) m 1 = I π a 2 ˆ y m 2 = Ib 2 ˆ x r = r ˆ x B = μ [3( m 1 ⋅ ˆ r ) ˆ r − m ]/4 π r 3 = μ [0 − I π a 2 ˆ y ]/4 π r 3 = − μ Ia 2 ˆ y /4 r 3 N = m 2 × B = ( Ib 2 ˆ x ) × ( − μ Ia 2 ˆ y /4 r 3 ) = − μ I 2 a 2 b 2 ˆ z /4 r 3 Equilibrium when ˆ m 2 = ˆ B 6.3(b) m 1 = m 1 ˆ x B = μ m 1 (3 x r − r 2 ˆ x ) /4 π r 5 m 2 = m 2 ˆ x m 2 ⋅ B = μ m 1 m 2 (3 x 2 − r 2 ) /4 π r 5 ∂ r n / ∂ x = nr n − 1 ∂ r / ∂ x = nr n − 1 ( x / r ) = nr n − 2 x etc. ∂ ( m 2 ⋅ B ) / ∂ x = μ m 1 m 2 (6 x − 2 x ) /4 π r 5 − 5 μ m 1 m 2 (3 x 2 − r 2 ) x /4 π r 7 = − μ m 1 m 2 (15 x 2 − 9 r 2 ) x /4 π r 7 ∂ ( m 2 ⋅ B ) / ∂ y = μ m 1 m 2 ( − 2 y ) /4 π r 5 − 5 μ m 1 m 2 (3 x 2 − r 2 ) y /4 π r 7 = − μ m 1 m 2 (15 x 2 − 3 r 2 ) y /4 π r 7 ∂ ( m...
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## This note was uploaded on 01/22/2012 for the course PHYS 3122 taught by Professor Staff during the Fall '08 term at Georgia Tech.

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HW13 - Physics 3122 Fall 2010 Homework Set 13 Solutions(not...

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