Engineering Mechanics — Major (End Semester) 2023 question paper

Paper details

• Subject: Engineering Mechanics (BME-102)
• Branch: Mechanical Engineering
• Semester: 1
• Exam: Major (End Semester) 2023
• Questions: 24

Questions asked in Engineering Mechanics Major (End Semester) 2023

1. Q1. Attempt any five parts of the following:
2. Q1(a). Explain the classification of the system of forces by taking suitable examples. [2 marks]
3. Q1(b). A vertical pole is held in place by three cables. If the force of each cable acting on the pole is as shown in following figure, determine the resultant. [2 marks]
4. Q1(c). Identify the zero force members of the following truss and proceeding to this, calculate the force in member GF [2 marks]
5. Q1(d). A block of weight W, width a and height 3a is kept over an inclined plane whose angle with horizontal is gradually increased. If the coefficient of friction is 0.35, determine whether the equilibrium would get disturbed by sliding or toppling, and at what angle. [2 marks]
6. Q1(e). A triangle is removed from a semicircular disc, as shown in the following figure. Locate the centroid of the shaded part. [2 marks]
7. Q1(f). Explain various types of strains. Also, explain the importance of the poison's ratio during the deformation of bodies. [2 marks]
8. Q1(g). Define strain energy due to static loading and its importance. How are all three elastic constants related to each other, explain. [2 marks]
9. Q2. Attempt any Two parts of the following.
10. Q2(a). A ladder AB of length 3m and weight 25kg is resting against a vertical wall and horizontal floor. The ladder makes an angle of $ 50^° $ with the floor. A man of weight 60kg tries to climb the ladder. How much distance along the ladder will be able to climb if friction coefficient between ladder and floor is 0.2 and that between ladder and wall is 0.3? Also, find the angle at which ladder should… [5 marks]
11. Q2(b). Differentiate between angle of repose and angle of friction. Also, explain their practical importance by taking suitable example. Find out the support reactions at A and B for the beam shown below. [5 marks]
12. Q2(c). Give the applications of V-belt. What is the concept of centrifugal tension and initial tension for a belt? Explain by taking suitable examples. Also find out the condition for maximum power transmission from the belt [5 marks]
13. Q3. Attempt any Two parts of the following.
14. Q3(a). Draw the SFD and BMD for the beam shown in figure below and find out the position and the magnitude of the maximum moment. [5 marks]
15. Q3(b). Find out the forces in members in the truss shown by (1). (2) and (3) by using method of section. [5 marks]
16. Q3(c). Differentiate between truss and frame with suitable example. Also explain perfect and imperfect truss. Find out the maximum bending moment for a simple supported beam with UDL of w N/m intensity acts over the entire length of beam l. [5 marks]
17. Q4. Attempt any Two parts of the following.
18. Q4(a). Write equations of linear and angular motions. A car moving in a straight line starts from rest, accelerates uniformly at 10 m/s^2 for the first 3 seconds, then travels at uniform speed for the next 2 seconds and finally decelerates uniformly at 5 m/s^2 for the next 4 seconds. Draw the acceleration-time, velocity-time graph and determine the distance travelled by the car during the given time. [5 marks]
19. Q4(b). (i) Differentiate between normal and tangential acceleration for curvilinear motion and explain their importance. (ii) Explain the instantaneous center by taking suitable example. Also, find out the instantaneous center of piston cylinder assembly. [5 marks]
20. Q4(c). Explain the concept of general plane motion. A block weighing 1.5 kN is initially at rest on a rough horizontal surface with coefficient of friction 0.2. It is acted upon by a force P which varies with time according to the following figure. Determine the velocity at the end of (ii) 3 seconds. (iii) 6 seconds. [5 marks]
21. Q5. Attempt any Two parts of the following.
22. Q5(a). The following data was recorded during tensile test made on standard tensile test specimen: original diameter and gauge length = 20 mm & 80 mm respectively minimum diameter at fracture = 5 mm distance between gauge points at fracture = 95 mm load at yield point and at fracture = 50 kN and 60 kN maximum load that specimen could take = 80 kN Make calculations for, (i) yield strength, ultimate… [5 marks]
23. Q5(b). (Explain the Hook's Law and its importance. Determine the torque required to give a twist of 20 rounds to a steel wire which is of 0.5 mm diameter and 35 m length. For steel, modules of rigidity C = 90 GPa. [5 marks]
24. Q5(c). What are various assumptions during deriving bending equation? Find out the relationship among bending moment, radius of curvature and bending stress. [5 marks]