problem29_77 - clockwise rotation c If page into and ckwise...

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29.77: The primary assumption throughout the problem is that the square patch is small enough so that the velocity is constant over its whole areas, that is, . d r v ϖ ϖ = a) : page into clockwise, B ϖ BL d vBL ϖ ε = = B v × = = = Since . ρ ϖ ρ ε ε dBA L A R I points outward, A is just the cross-sectional area . tL ρ ϖ dBLt I = flowing radially outward since B v × points outward. b) ILB I B b = × = × = B L F F d τ ; pointing counterclockwise. So ρ ϖ τ t L B d 2 2 2 = pointing out of the page (a counterclockwise torque opposing the
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Unformatted text preview: clockwise rotation). c) If page, into and ckwise counterclo → → B → ⇒ I flow inward radially since B v × points inward. → clockwise (again opposing the motion); If → counterclockwise and → B out of the page → ⇒ I radially outward → clockwise (opposing the motion) The magnitudes of and I are the same as in part (a)....
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