hwsol02

# hwsol02 - ME 358 Homework Solution 2 Problem 1 For the...

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ME 358 Homework Solution 2 Problem 1 For the inverted slider-crank mechanism shown in the figure, assume that a motor is used to actuate link 2. The link lengths are as follows: R CA = 40 mm, R BA = 20 mm, R PB = 65 mm. Using the analytical method discussed in class, determine the position of point P as a function of the input angle θ 2 and the given link lengths. Solution ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) j i r r r r r r R R R j i r R j i r R j i r R j i r R 3 4 2 2 3 4 2 2 4 2 P 2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1 3 2 2 1 1 2 2 1 1 1 3 2 2 1 1 3 3 2 2 1 1 3 3 2 1 3 CA CB BA 3 3 4 4 PB 3 3 3 3 CB 2 2 2 2 BA 1 1 1 1 CA sin r sin r cos r cos r cos r r 2 r r cos cos sin sin r r 2 r r r cos r cos r sin r sin r tan sin r sin r sin r cos r cos r cos r sin cos r sin cos r sin cos r sin cos r θ + θ + θ + θ = + = θ θ + = θ θ + θ θ + = θ θ θ θ = θ θ θ = θ θ θ = θ = = + θ + θ = = θ + θ = = θ + θ = = θ + θ = = Problem 2 Consider a crank-rocker mechanism with r 1 =400mm, r 2 =200mm, r 3 =500mm and r 4 =400mm. In a limit position, points O 2

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