Analytical Mech Homework Solutions 57

Analytical Mech Homework Solutions 57 - v = zv yi + zvx yvx...

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ˆ ˆˆ zy zx yx vv i v j v ωω ω k ′′ ′ ′ ×= + GG v j () horiz i −+ 11 22 2 2 z x y z horiz v v v ×=+ =+ = G v v 2 cor Fm =− × G 2 cor z horiz horiz vm 2 v =×= , independent of the direction of v . G 5.13 From Example 5.4.1 … 1 3 2 18 cos 3 h h x g λ  ′ =   and 0 h y ′ = . 1 33 2 51 2 1 8 1250 7.27 10 cos41 2 h ft xs ft s −− × D 0.404 h x ft ′ = to the east. 5.14 From Example 5.4.2: 2 sin H v ∆≈ D is the deflection of the baseball towards the south since it was struck due East at Yankee Stadium at latitude (problem 5.13). v 41 N = D 0 is the initial speed of the baseball whose range is H. From eqn 4.3.18b, without air resistance in an inertial reference frame, the horizontal range is … 2 sin 2 v H g α = D Solving for v 0 1 2 sin 2 gH v = D 1 2 2 1 32 200 113 sin30 ft s ft vf t s ⋅× == D D ( ) 1 7.27 10 200 sin 41 0.0169 0.2 113 sf t f ti ft s × n ∴ ∆≈
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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