Register Number SATHYABAMA UNIVERSITY (Established under section 3 of UGC Act,1956) Course & Branch :B.E - AERO/AUTO/M&P/MECH/CIVIL Title of the Paper :Engineering Mechanics Max. Marks:80 Sub. Code :SMEX1002 (2010/2011) Time : 3 Hours Date :05/06/2012 Session :FN ______________________________________________________________________________________________________________________ 1. PART - A (10 x 2 = 20) Answer ALL the Questions State the equation of equilibrium of a coplanar system of force. 2. State the Lamis theorem. 3. What are the conditions in equilibrium of two dimensional rigid body? 4. What is moment of force about a point in space? 5. Define centre of gravity. 6. State the centroid of semi circle. 7. What is meant by friction? 8. Define rolling resistance. 9. What is average velocity? 10. Define linear momentum. PART – B (5 x 12 = 60) Answer ALL the Questions 11. The bar AC, 10 m long supports a load of 6000 N as shown figure: 1 The cable BC is horizontal and 5 m long. Determine the forces in the cable and the bar. (or) 12. Explain with neat sketch the various systems of forces with suitable example. 13. A coplanar parallel force system considering of three forces on a rigid bar AB as shown in figure:2. Determine the simplest equivalent action for the force system. (or) 14. State and prove the varignon’s theorem. 15. State the parallel axis and perpendicular axis theorem and prove any one theorem. (or) 16. Determine the moments of inertia about X axis of a T section of flange 100mm x 80 mm and Web 20 mm x 80 mm its centroidal axis. 17. (a) A rope is wound over a pulley with angle of contact is 160. If the tension which pulls the belt on one end is 4 kN. Determine the tension on other side. Take = 0.25 (b) What is screw jack? State advantages. (or) 18. (a) State the properties, advantages and disadvantages of friction. (b) State the law of laws of static and dynamic friction. 19. A sphere of mass 1 kg moving with a velocity 2m/s impinges directly on a sphere of mass 2 kg at rest. If the first sphere comes to rest after the impact, find the velocity of the second sphere and the co-efficient of restitution. (or) 20. A vehicle covers a distance of 400 m in 30 seconds with a constant acceleration of 0.5 m/sec2. Determine (a) Initial velocity (b) Final velocity (c) The distance traveled during the first 5 second.