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Main points of this exam paper are: Simple Truss, Easily Determine, Statically, Method of Joints, Method of Sections, Cylindrical Drum, Flexible Belt, Plane Inclined, Coefficient of Friction, Verge of Sliding
Typology: Exams
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Note to Candidates: Please check the Programme Title and the Module Title to ensure that you are attempting the correct examination. If in doubt please contact an Invigilator.
(1) Clearly explain the following terms as applied to trusses:
Give a rule-of-thumb that allows us to easily determine whether a truss is statically determinate. Is it fool-proof? Illustrate your answer with sketches. (1 mark)
With regard to the truss shown in the diagram above, calculate the force in the truss member DG using either the Method of Joints or the Method of Sections. The lengths shown in the diagram are in meters. (20 marks)
(2) Derive from first principles an expression for tension in a flexible belt on the point of slipping over a cylindrical drum. (10 marks)
A 100kg block rests on a plane inclined at 30deg to the horizontal. It has a pulley affixed to its right hand side, through which a rope is passed. One end of the rope is affixed to the plane, the other passes over a fixed drum for one complete revolution plus the angle shown. A 5kg mass is affixed to the end. If the coefficient of friction between plane and mass is 0.2, what is the minimum coefficient of friction between rope and drum such that the 100kg mass is on the verge of sliding downwards? (15 marks)
100kg (^) 5kg
30deg
20kN
12kN 10kN