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midterm - University Number(please write very clearly...

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University Number ( please write very clearly ) ______________________ Surname________________ Answers for ENGG1010 Quiz, Part B- Dynamics , 20 October 2009 Answer both questions. Write your answers on this question sheet and submit this sheet only . QB1 . Bar AB is hinged to the edge of a circular disk which rolls clockwise at constant angular speed ω . The disk radius is R and the length of the bar is 2 R . Point B of the bar slides along the plane ground. Determine the speed of B at the moment shown, when point A is level with the disk centre C. Answer ( you may continue on the back of this page but it’s highly unlikely that you would need such space ) Ans: ( ) ( ) , , , , 0, hence , and 2 A B A AB BY AB BX V R R V V R R V V R ω ω ω ω ω = = + = = = Common mistakes: (1) Velocity treated as a combination of scalar and vector, like V=2+(3,4)=(5,6). (2) Confusion over cross product, / / / B A B A B A V r ω = × G G G written as r ω (3) Assuming / B A ω ω = without proving it (4)
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