02planar_kinematics

02planar_kinematics - Planar Kinematics Homework Problems...

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Planar Kinematics Homework Problems ME 274 – Spring 2010 Problem II-1 The rectangular plate ABCD freely rotates about a pivot at point A . If, at the instant shown, the acceleration of point C is given by a C = a x i + a y j , determine the angular velocity ! and angular acceleration " of the plate. Use the following: a x = ! 8 m / sec 2 and a y = 6 m / sec 2 . A B C D 0.5 m 0.25 m x y

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Planar Kinematics Homework Problems ME 274 – Spring 2010 Problem II-4 The compound wheel assembly shown below is driven by a cable attached to the outer rim of the assembly at point A . Assuming that the wheel rolls without slip about point B, and the acceleration at point A is given by a A = a x i + a y j , determine the acceleration of point C. Use the following: ! = 36.87 ° , a x = 8 m / sec 2 and a y = 6 m / sec 2 . x y 0 . 0 2 5 m 0 . 1 m A C B !
Planar Kinematics Homework Problems ME 274 – Spring 2010 Problem II-6 If, at the instant shown, the piston has velocity v A = v A i , determine the resulting angular velocity ! CB of the crankshaft. Use the following: ! = 53.13 ° and v A = ! 20 m / sec . x y 0.03 m A B C ! 0.06 m

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Planar Kinematics Homework Problems ME 274 – Spring 2010 Problem II-7 Consider the four mechanisms shown below. Respond to the questions posed. Feel free to draw directly on these sheets and submit for your homework solution. Use a straight edge when making your drawings. Mechanism #1 Link OA is rotating in the clockwise sense. Determine the location of the instant center (IC) of link AB. From the location of this IC, determine the sense of rotation for links AB and BC. Justify your answers in words. Mechanism #2 Determine the location of the instant center (IC) of link AD. From the location of this IC, determine the sense of rotation for links AD and DB. Justify your answers in words.
Planar Kinematics Homework Problems ME 274 – Spring 2010 Mechanism #3 Link OA is rotating in the clockwise sense.

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