PS2-4 - Problem Set 2 Problem 4 Problem A girl riding on a...

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Unformatted text preview: Problem Set 2: Problem 4. Problem: A girl riding on a ferris wheel throws a ball with initial speed v o vertically upward as indicated in the figure and catches the ball at a time when her seat is at an angle θ to the horizontal. The ferris wheel has radius R and has a constant angular rotation rate Ω . You can ignore effects of friction on the ball’s motion. (a) Set up an equation from which θ can be determined. Your equation’s coefficients should be in terms of v o , Ω , R and gravitational acceleration, g . The equation should involve both sin θ and cos θ — it cannot be solved in closed form. (b) Assuming the girl catches the ball when θ = 0 o , determine v o as a function of Ω , R and g . R Ω .......................................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ........................................ . . . . . . . . . . ....
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This note was uploaded on 10/12/2009 for the course AME 301 at USC.

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PS2-4 - Problem Set 2 Problem 4 Problem A girl riding on a...

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