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Unformatted text preview: the center of the ball. Hint the velocity of advance of the ball can be found by taking into account the helix angle, γ , by the equation: γ θ cos / v v = where the helix angle may be found from: ( 29 b L π 2 / tan = 2 SOLUTION 3. 3 SOLUTION 4. 4 SOLUTION 5. Hint: use spherical coordinates 5 SOLUTION Use this equation: φ θ e a e a e a a R R + + = where: 2 2 2 cos R R R a R= ( 29 sin 2 cos 2 R R dt d R a= ( 29 cos sin 1 2 2 R R dt d R a + = In this situation L R == , β Therefore: 6 7 6. SOLUTION 8 7. SOLUTION 8. 9 SOLUTION 10 9. If the velocity x of block A up the incline is increasing at a rate of 0.044 m/s each second, determine the acceleration of B. SOLUTION 11...
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 Spring '08
 CORRADOPOLI
 Acceleration, Velocity, constant rate, corresponding time derivatives

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