Final Exam Sltns - fM 311 Final Exam work any 5 of the...

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fM 311 Final Exam work any 5 of the following 6 problems. cross out the problem you do not want graded. If you fail to cross out a problem, then the first b problems will be graded. Show all work. Each problem has eclua} value 1. The ba*seball is translating with velocity ?)A :80 ft/s perpendicular to the bat just before impact. Ttie player is swinging the bat with angular velocity 6tr ia6ls before the impact. Point C is the bat's instautatreous center both before and afterttre impact. The distances b- 14in, d:3 in and U:26 in. The ball's nrass is.01 slug ancl the bat's mass is.06 slugs. The bat's rna,ss momeut of inertia is /6 -:- '033 slug - ft'' After irnpact' the ball's velocity u,A: -g0 ft,ls. LIse conservation of angular tnotnentum about A to cle.termine the angular velocity of t,he bat after impact' u*,*,'^^. $ r"1"" ry:, b t ro ilaf-\l = t;, '',**oI'^ 4 *V*\ 7' "il6!n)'Y + fS [J8, I [.tan ata-kto] 'L '(['t A ' ,,,- ii r )" F rIaLJn) T-.*f*, "u,= 1'L= l\'f v/rffi vrr'= il'.,rl I ' tr / ,h [anata.ktAJ'L'lxrl ' ,.-r] yrnrJ; \ /l V+ (!rt^Il 0*f1 /' / t-nItvlpE*l f - ' ( - ' t ' t n . ) | L-' ,Dl (t,zs+,n8D:)'I r Db'':.''.-lo;^'i' ,uU*; t,zS pr
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