L19-Full hacksaw problem-corrected_1

L19-Full hacksaw problem-corrected_1 - 5/150 Given: The...

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5/150 Given: The blade of this hacksaw is mounted in a frame with a horizontal guide. If the motor turns the flywheel at a constant CCW Speed of 60 RPM, find the acceleration (linear) of the saw for the position when θ = 90 o . Problem Type: Find: Given: Rigid Body Kinematics ϖ ΟΒ = 60 RPM, α =0 Acceleration of the blade First Step? What do I know in this equation? What do we know here? Does the sign of the cross product make sense? ( 29 B A AB B A AB AB B A r r a a / / ˆ ˆ ˆ ˆ ˆ ˆ ˆ × + × × + = α ϖ Can find r A/B (see triangle). We don’t know ϖ AB How can we find a B ? We have to do another acceleration equation relating B and O . Let’s do it. ( 29 O B O B OB OB B r r a a / / ˆ ˆ ˆ ˆ ˆ ˆ ˆ × + × × + = ϖ = 6 0 RPM = 6.283 rad/sec and α = 0 Yes, the only component is the normal acceleration; B is moving in a circular path, so it’s acceleration should be in the +X direction. j i i a AB AB AB AB A ˆ ) 439 . 0 100 . 0 ( ˆ ) 100 . 0 439 . 0 95 . 3 ( ˆ 2 2 - + + + = Put values into a A equation.
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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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L19-Full hacksaw problem-corrected_1 - 5/150 Given: The...

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