IC13.2 Dual Collar Slide

IC13.2 Dual Collar Slide - = Can you Determine the velocity...

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Determine the acceleration a x of collar B as a function of y if collar A is given a constant upward velocity v A Note that y and L form the sides of an equilateral triangle. Label the third side and write the relationship between the length of the three sides. Can you Determine the acceleration relationship? IC13.2 Dual Collar Slide What is your first step? Solution: Problem Type: Find: Given: v A = Constant up a x Constrained Motion Reflection: Constrained motion problems can be solved by differentiation of geometric identities Differentiate the equation again x 2 2 2 y x L + = y y x x 2 2 0 +
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Unformatted text preview: = Can you Determine the velocity relationship? Differentiate the equation y v x y y x y y L x A =-= =-= , , , 2 2 ) ( 1 2 2 2 2 2 2 2 2 y y y x x x y y y x x x + +-= + + + = Eliminate x from the equation and note that v y is constant Substitute and solve for x double dot = a x 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ) ( ) ( ) ( 1 ) ( 1 y L L v a x L x y a x x x y x y a y x y y x a y x x a a x x x x x--=-= +-= +-= +-= Sketch:...
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This note was uploaded on 01/22/2011 for the course ME 212 taught by Professor Staff during the Spring '05 term at Cal Poly.

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