Welcome to S1S2-CSE( 2012-13)

General Instructions:

• Course materials shall be distributed  in the class.
• Keep separate notebook for EM with syllabus affixed in the front page.
• Draw the diagrams neatly
• Purchase atleast one text/reference book
• Submit your assignments in time.
• Revise your class notes before coming to class.

Short-answer Questions (Dynamics)

1. Distinguish between statics and dynamics.
2. Distinguish between particle and rigid body.
3. Explain the types of motion with suitable examples.
4. Define reference frame. What reference frame is commonly used for engineering analyses?
5. Define position vector and displacement vector.
6. Distinguish between displacement vector and distance travelled.
7. Define velocity of a particle.
8. Define average velocity and instantaneous velocity.
9. Define average acceleration and instantaneous acceleration.
10. Under what conditions is average velocity equal to instantaneous velocity?
11. If a particle moves with constant speed but changes in direction, can there be acceleration.
12. Distinguish between rectilinear motion and curvilinear motion.
13. State the differential equations of motion.
14. Distinguish between uniform motion and uniformly acceleration motion.
15. Derive the x-t, v-t and a-t relationships for uniformly acceleration motion.
16. What are motion curves? What are they used for?
17. Differentiate between Relative velocity and Resultant velocity.
18. What is simple harmonic motion?
19. What is a harmonic of a sum of simple harmonic motion.
20. Define free fall.
21. What are the assumptions made in free fall?
22. Define curvilinear motion with suitable examples.
23. Express velocity and acceleration vectors in terms of rectangular components.
24. Define radian. How many radians are equivalent to 180⁰.
25. Define projectile motion and state how such a motion can be considered as a combination of two independent motions occurring simultaneously along perpendicular directions.
26. What are the assumptions made in projectile motion.
27. Derive the equation of path of projectile motion.
28. Prove that a particle that moves under the action of constant gravity describes a parabolic path.
29. Define range of projectile and the condition for maximum range.
30. Derive the expressions for (i) time of flight, (ii) range when a particle is projected on an inclined plane.
31. Derive the condition for maximum range when a particle is projected on an inclined plane and determine the maximum range.
32. Express the acceleration of a particle in tangential and normal components.
33. Define curvature, centre of curvature and radius of curvature in a curvilinear path.
34. Express radius of curvature in mathematical form.
35. Does the concepts of tangential and normal components of acceleration of a particle that moves on a curved path apply only to plane motion of the particle? Explain.
36. What is the osculating plane of a path in space?
37. What are Lissajous figures?
38. What is the direction of centripetal acceleration?
39. What are cylindrical coordinates?
40. Derive the expressions for velocity and acceleration vectors in radial and transverse components.
41. Distinguish between kinematics and kinetics.
42. May g be regarded as a constant in studying the motion of a high-altitude rocket? Explain.
43. Discuss on the experiments of Galileo and his conclusions.
44. Define inertia and how can it be measured.
45. State Newton’s first and second-laws of motion.
46. How is Newton’s first law related to his second law?
47. What property of a particle does its mass measure?
48. Derive the mathematical expression for Newton’s second law of motion.
49. Express the scalar forms of equations of motion.
50. State D’Alembert’s principle.
51. Discuss the forces providing the normal acceleration in circular motions considering various examples.
52. Define work done on a body (a) by a constant force and (b) by a varying force.
53. When is the work done upon a body positive and when it is negative?
54. Under what conditions does the work done upon a body become zero?
55. The work done upon a body by a system of forces causing uniform velocity is zero. Discuss.
56. Derive the expression for work done upon stretching a spring without accelerating it.
57. Define power.
58. What is the relationship between Watt power and Horse power?
59. Define energy. What are the various forms of energy?
60. State the work-energy principle.
61. Explain the work done by internal forces in a connected system.
62. Show that the energy of a freely falling body is constant.
63. Define the term coefficient of restitution
64. How will you calculate the linear restoring force of an elastic material?
65. State the equation to determine the escape velocity of a satellite to escape from the gravitational field of earth.
66. Define linear momentum and angular momentum.
67. Is it more hazardous for a river boat to strike floating logs when it is going downstream or when it is going upstream? Explain.
68. What are impulsive forces?.Give examples.
69. State the principle of conservation of momentum. Give some examples where this principle is applied.
70. Differentiate between the work-energy and impulse – momentum methods.
71. What is the practical difficulty involved when a jet of water strikes a moving plate or vane and how is it overcome.
72. Derive the expression for a mass of water striking an obstruction.
73. What are non-impulsive forces? Give examples.
74. What are the different types of rigid body motions?
75. Define general plane motion, fixed-axis rotation and give examples.
76. Define (i) instantaneous centre of rotation (ii) instantaneous power.
77. Explain how to locate instantaneous centre of rotation in general plane motion.
78. Under what conditions can we neglect the rotational motion of a body?
79. Explain how the sum of internal forces in a system of particles reduces to zero.
80. State the work-energy principle and conservation of mechanical energy for a rigid body.

ENGINEERING MECHANICS - STUDY PROJECT

CLASS: S1S2 ME BATCH: 2010 - 2011

Title of Study Project[ Roll No. ]

1 Application of Engineering mechanics in Forensic Engineering [60 19 62 53 13 37]

2 Study of mechanics of friction in rope rescue [28 26 21 52 47 58 ]

3 Study of Hexogonal pencil rolling on an Inclined Plane[ 1 55 8 38 16 ]

4 Study of shots and Ball motion in tennis [11 32 48 30 4 ]

5 Application of Engineering mechanics in medicine [14 3 12 35 6 ]

6 Snow friction [10 5 20 49 23 ]

7 Biomechanics of Swimming [2 7 41 17 9 ]

8 Study of Dynamics of Geckos [22 40 54 21 39]

9 Study of kinematics and kinetics of wheel chair propulsion [57 50 33 63 ]

10 Application of Engineering Mechanics in Shoe Design [18 24 51 45 36 ]

11 Study of friction in 2D relative motion [44 29 25 59 64]

12 Study of projectile motion with air resistance [43 15 42 34 56]

C.K

EN09 105 ENG.MECHANICS_STATICS_SHORTQUESTIONS

Short Questions [Statics]

1. State: law of transmissibility of force.
2. State: Lami’s theorem.
3. State: Parallelogram law of forces.
4. What are the characteristics of a force.
5. Explain the different types of forces system with neat sketch.
6. Distinguish between ‘Composition’ and ‘Resolution’ of forces
7. What is couple and moment of couple.
8. Define coplanar concurrent force system.
9. List the procedure for drawing a Free Body Diagram.
10. State the conditions for the equilibrium of rigid bodies.
11. State and prove Varignon’s theorem.
12. Derive the equations of equilibrium for a system of non-concurrent forces in a plane.
13. Explain how a force can be translated to a given point without affect`g its action on the body.
14. Three forces F1,F2 and F3 are proportional to and act along the three sides AC,CB and BA of a triangle ABC.Prove that they reduce to a couple whose moment is proportional to the area of the triangle ABC.
15. What is meant by “Static indeterminancy” ? Explain how it is determined for a structure.
16. Enumerate the condition of the line of action of three forces in equilibrium.
17. What is plane truss? What are the assumptions made in the analysis of plane trusses.?
18. Write briefly about’method of joints’ and ‘method of sections’.
19. When do you prefer method of section of method joints?
20. Explain the method of constructing Maxwell’s diagram.
21. Explain the difference between uniformly distributed load and uniformly varying load.
22. State the parallel axis theorem.
23. State and derive the relation for theorem of Pappus & Guldinus.
24. Define centroid of a section.
25. Derive an expression for the principal moments of Inertia.
26. What are polar moment of inertia and product of inertia.
27. State any four geometrical properties of sections.
28. State the perpendicular axis theorem.
29. Calculate the moment of inertia Ix of a homogeneous right circular cone with respect to an axis ‘X’ through the vertex and perpendicular to the plane of the base.
30. Find the first moment area of a semicircle of radius R about its base.
31. Distinguish between Static friction and Dynamic Friction.
32. State the laws of friction.
33. Define angle of repose.
34. Write short notes on angle of friction.
35. What are the advantages and disadvantages of frictional force..
36. State Coulomb’s laws of static friction.
37. Define rolling resistance.
38. What are the principal axes and principle moments of inertia?
39. State the direction of support reactions in the case of (a)simply supported and (b) hinged end and (c)Roller supported end.
40. What is meant by efficiency of screw jack? Derive expression for maximum efficiency.

TUTORIAL PROBLEM SHEET
DOI: 08.09.2010 DOS: 13.09.2010

PROBLEMS ON SIMPLY SUPPORTED BEAMS
1. A 4m long beam is simply supported at the ends. It carries concentrated loads of 15N and 20 KN at distances 1m and 2m from the left support of the beam respectively. There is uniformly distributed load of 10KN/m over a length of 2m from the right end of the beam. The weight of the beam is 8KN.Determine the reactions of the supports.[FIG 1]
2. A beam of 6m long and simply supported at the ends is loaded with a varying load from zero at the left hand end to 2KN.m at the right hand end. Determine the reactions at the supports. [FIG 2]
3. A simply supported beam at the ends carries distributed load which varies according to the law y=6x^3 where y is in KN/m and x is in metres measured from the left end of the beam. Determine the reactions at the supports. Length of beam = 5m. [FIG 3]
4. A simply supported beam of length 10m carries the uniformly distributed load and two point loads as shown in [FIG 4].Calculate the reaction RA and RB.
5. A simply supported beam of length 5m carries a uniformly increasing load of 800N/m at one end to 1600N/m at the other end. Calculate the reactions at both ends. [FIG 5]
PROBLESM ON OVERHANGING BEAM
6. Calculate the reactions at both ends for the given overhanging beams.[FIG 6]
PROBLEMS ON ROLLER AND HINGED SUPPORTED
7. A beam AB of span 6m is hinged at A and supported on rollers at end B and carries load as shown in [FIG 7].Determine the reactions at A & B.
PROBLEMS WHEN BEAMS ARE SUBJECTED TO COUPLES
8. A simply supported beam AB of 7m span is subjected to (i) 4KNm clockwise couple at 2m from A,(ii) 8KN m anticlockwise couple at 5m from A and (iii) a triangular load with zero intensity at 2m from A increasing to 4KN per m at a point 5 m from A. Determine reactions at A and B. [FIG 8]
9. Find the reactions at the supports A and B of the beam shown in [FIG 9].
10. A beam AB of span 8m is subjected to the uniformly distributed load of 1KN/m over the entire length and the moment 32KNm at C as shown in [FIG 10].Determine the reactions at the both ends.

ME09 306 SESSIONAL 01

FIRST SESSIONAL

1. 6
2. 23
3. A
4. 16
5. 24
6. 21
7. 11
8. 11
9. 19
10. 24
11. 26
12. 22
13. 25
14. A
15. 23
16. 29
17. 12
18. 29
19. 20
20. 21
21. 21
22. 20
23. 22
24. 26
25. 18
26. 20
27. 20
28. 16
29. 20
30. 20
31. 21
32. 23
33. 40
34. 20
35. 20
36. 20
37. A
38. 17
39. 23
40. 25
41. 20
42. 18
43. 25
44. 21
45. 22
46. 17
47. 13
48. 23
49. 20
50. 20
51. 12
52. 23
53. 20
54. 23
55. 10
56. 34
57. 21
58. 45
59. 26
60. 28

EN09 105 ENGINEERING MECHANICS[2010]

MODULE 1: 19.07.2010 TO 21.08.2010 [16]
MODULE 2: 06.09.2010 TO 09.10.2010 [16]
MODULE 3: 18.10.2010 TO 20.11.2010 [14]
MODULE 4: 29.11.2010 TO 30.12.2010 [14]