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# exam1 - 4 AEM 2011 Spring 2008 Name ID Section-5 AEM 2011...

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1 Exam 1 AEM 2011, Spring 2008 February 20, 2008 Name--------------------------- ID-------------------- Section------ Problem 1: The jib crane shown is oriented so that its boom AD is parallel to the x axis and is used to move a heavy crate. Knowing that the tension in cable AB is 10 kN , replace the force exerted by the cable at B with an equivalent force-couple system at the center O of the base of the crane.

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2 AEM 2011, Spring 2008 February 20, 2008 Name--------------------------- ID-------------------- Section------
3 AEM 2011, Spring 2008 February 20, 2008 Name--------------------------- ID-------------------- Section------ Problem 2 : The collar A can slide freely on the horizontal frictionless rod shown. The spring attached to the collar has a spring constant k and is undeformed when the collar is directly below support B. Express in terms of k and the distance c the magnitude of the force P required to maintain equilibrium of the system.

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Unformatted text preview: 4 AEM 2011, Spring 2008 February 20, 2008 Name--------------------------- ID-------------------- Section------5 AEM 2011, Spring 2008 February 20, 2008 Name--------------------------- ID-------------------- Section------ Problem 3 : A robotic arm used for drilling is subjected to force F c with a magnitude of 800 N and a couple M c with magnitude of 100 N-m as shown In the figure. Note that the robot arm OAB lies in the x-y plane. (a) Express F c and M c in rectangular components. i.e., F c = F cx i ) + F cy j ) + F cz k ) M c = M cx i ) + M cy j ) + M cz k ) (b) Replace F c and M c with an equivalent force-couple system at O. (c) Repeat (b) for point B . 6 AEM 2011, Spring 2008 February 20, 2008 Name--------------------------- ID-------------------- Section------7 AEM 2011, Spring 2008 February 20, 2008 Name--------------------------- ID-------------------- Section------...
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