Explanation The unit vector along the x axis is i , along y axis is j and along z axis is k . The angular velocity ω of bar A C in vector form is ω k , the velocity of point A in vector form is v i and the velocity of point C in vector form is v C i . The Free Body Diagram of the bar is shown below. Figure-(1) Write the expression for the absolute velocity of point B . v B = v A + v B / A (I) Here, the absolute velocity of point B is v B , the absolute velocity of point A is v A and the velocity of point B with respect to point A is v B / A . Write the expression for the velocity of point B with respect to point A . v B / A = ( ω k ) × ( − r B A j ) (II) Here, the length of bar between point B and point A is r B / A . Write the expression for the corresponding velocity of point C . v C = v A + v C / A (III) Here, the absolute velocity of point C is v C and the velocity of point C with respect to point A is v C / A . Write the expression for the velocity of point C with respect to point A . v C / A = ( ω k ) × ( − r C A j ) (IV) Here, the length of bar between point C and point A is r C / A . Conclusion: Substitute L 2 for r B A in Equation (II). v B / A = ( ω k ) × ( − L 2 j ) = − ω L 2 ( k × j ) = − ω L 2 ( − i ) = ω L 2 i Substitute 0 for v B , v i for v A and ω L 2 i for v B / A in Equation (I)

8th Edition

ISBN: 9781119047315

Author: Bolton

Publisher: VST

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Chapter 5.8, Problem 188RP

To determine

The angular velocity ω of bar AC that will result in point B having zero velocity.

The corresponding velocity of point C.

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Chapter 5.8, Problem 187RP

Chapter 5.8, Problem 189RP

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The angular velocity ω of bar A C that will result in point B having zero velocity. The corresponding velocity of point C .

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The angular velocity ω of bar AC that will result in point B having zero velocity. The corresponding velocity of point C.

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Chapter 5 Solutions

The angular velocity ω of bar AC that will result in point B having zero velocity.

The corresponding velocity of point C.