V55/V62/T14014/T07031/EE/20150817 Time: 3hr Instructions: Marks-80 Engineering Mechanics 1. All questions are compulsory. 2. “Long Answer type Question (LAQ)” is a supply type question of 15 marks which required a typical answer of about 60-80 lines in bout 32-40 minutes. 3. “Sort Answer type Question (SAQ)” is a supply type question of 5 marks which required a typical answer of about 15-20 lines in bout 08-10 minutes. 4. Figures to the right indicate marks allotted to the questions. 5. Assume suitable data if necessary 6. Use a nonprogrammable type of scientific calculator is allowed Marks SECTION-A Q.1 (a) Define 1. Machonics 4. Kinetics 10 2. Statics 3. Dynamics 5. Kinematics 05 (b) Four force 20N, 15N, 30N, 25N are acting at 0°, 60°, 90°, & 150° from x-axis in order find Resultant Analytically Fig. a Page 1 OR Q.1 (a) State and explain varigon’s theorem. 10 b) Two forces 100KN & 200KN act or a particle & their lines of action are inclines to each other at an angle of 40°, find resultant in magnitudes & directions. 05 Fig. b Q.2 (a) State and explain lami’s theorem. 10 (b) Find support reaction for the beam shown in fig. c 05 Fig. c Page 2 Q.2 OR (a) Find Reaction at support using lami’s theorem find RA & RB 10 Fig. d 05 Q.3 (b) Explain the types of beams. Explain low at parallelogram 05 Q.4 Explain vector polygon and space diagram.. 05 SECTION-B Q.5 (a) Find the position of centroid of unequal angle section with dimensions [200 X 150 X 10 ] mm. Longer leg is vertical. 10 Page 3 05 Fig. e (b) State advantages and disadvantages of friction. OR Q.5 Q.6 (a) Find centroid of T-section with flarge 120 X 12 mm2 & vertical web 180 X 18 mm2 10 (b) If the angle of response is 30° calculate coefficient of friction. 05 (a) A solid cone of height 40 CM is placed on a cube of size 20 cm locate C.G.A composite figs. 10 Fig. f (b) Define 1. M.A 4. Input 2. V.R. 5. Output 3. ideal machine 05 Page 4 OR Q.6 (a) A machine has V.R. =50. A Load of 6KN is by an effort of 300 N. calculate efficiency and effort lost in friction. 10 (b) Define C.G. and find C.G.A Hemisphere having 400 mm as diameter.. 05 Q.7 Explain low of friction. 5 Q.8 What is low of machine? State its importance. 5 Page 5