2002 Exam 1 - GNG 1100 ENGINEERING MECHANICS Final...

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GNG 1100 - ENGINEERING MECHANICS Final Examination Time: 3 hours 17 December 2002 Page 1 of 3 Profs. Droste, Hallett and Skaff Closed Book. Only non-programmable calculators may be used. Free-body diagrams must be drawn wherever appropriate. 1. (10 marks) The mechanism shown has pin joints at A and B and is driven by a couple M = 100 Nm at A. At C is a frictionless slider which is attached to member AC by a frictionless pin. (a) Calculate the force P required to maintain the system in equilibrium. P acts at right angles to BD, and AC is vertical. (b) Determine the reactions at A and B. 2. (12 marks) The sketch shows a shaft BF with levers at both ends, acted on by a force P = 500N at E and a force Q at A. The shaft is supported by frictionless bearings at C and D which are aligned with the shaft. Bearing D can exert an axial thrust, but bearing C can not. Lever AB and force P are parallel to the x axis, while lever FE and force Q is parallel to the y axis. Calculate the force Q and the components of the reactions at C and D, assuming equilibrium. All dimensions are in cm.
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