POKHARA UNIVERSITY Semester – Spring Level: Bachelor Programme: BE Course: Applied Mechanics (Statics) Year : 2010 Full Marks : 100 Pass Mark : 45 Time : 3 hrs Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks. Attempt all the questions. 1. a. Define point of contraflexure with an example. b. Draw shear force and bending moment diagram of a beam loaded as shown in figure. 3 12 2. Using the method of joints and analyse the given truss. 15 10KN C B 12KN 3.6m A 8KN 3. F 2.4m D E 4.8m 4.8m a. Locate the centroid of the composite line shown, where a = b = d = 60cm and c = 30 cm. 7 b. Locate the moment of inertia of the area bounded by the curves 8 1 as shown. Where a = 3 in, b = 3 in, c = 6 in, d = 4 in, r = 2 in. 4. a. Define equilibrium. Write their conditions with illustration. b. Two planes AC and BC are inclined at 60° and 30° to the horizontal. A load of 2000 N rests on inclined in plane BC and W on plane AC as shown in figure below. Determine the range of W for the equilibrium. Take µs for plane AC as 0.70 and that of BC as 0.35. 5 10 5. a. Two Spheres A and B are placed in container as shown in figure. Determine the reaction from the walls of the container. 10 rA=12cm rB=6cm mA=12kg mB=10kg A B 30o 2 b. Define limiting friction. Explain the law of limiting friction. A 120 Kg sign of uniform density measures 1.5 by 2.4 m and is supported by a ball and socket at A and by two cables. Determine the tension in each cable and the reaction at A. 6. 5 15 Y D 1.2 m 0.6 m 2.4 m C A 0.9 m E 1.8 m B 0.6 m Z X 1.5 m 7. Write short notes on any two: a. Types of support b. Laws of dry friction c. Parallel axis theorem 2×5 3