Name of the University : Vardhman Mahaveer Open University
Degree : M.Sc
Department : Mathematics
Subject Code/Name : MAMT-05 – Mechanics
Year : I
Document Type : Question Bank
Website : vmou.ac.in
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/vmou.ac.in/3595-MAMT-05_64.pdf
VMOU Mechanics Question Paper
Time: 3 Hours
Max. Marks: 80
Note: The question paper is divided into three sections A, B & C. Write Answers as per the given instructions.
Related : Vardhman Mahaveer Open University MAMT01 Advanced Algebra M.Sc Question Bank : www.pdfquestion.in/3596.html
Section A
1. Define the impressed forces.
2. Write the Newton- s second Law of motion.
3. Write the moment of Inertia of a circular disc of mass M and radius
4. Write the product of Inertia of rectangular plate of Mass M and length
5. Define the centroid of the system.
6. Write the moment of all the effective forces about oz (axis of rotation).
7. Write the Radial acceleration
8. Write the Transverse velocity.
9. Write the principle of angular momentum.
10. Write the principle of conservation of Energy.
11. Name two types of independent motion related to motion of a rigid body-
12. What is Friction-
13. What is the condition for pure sliding-
14. What is the condition for pure rolling-
15. What is the relation between – (Coefficient of friction) and –
16. Define moving a,xes and fixed axes.
17. Write the Euler- s Dynamical equations of motion.
18. Write vector form of Euler- s equation of motion.
19. Write Euler- s Geomatrical equation of motion.
20. What are the Euleran angles-
21. Define the Invariable line.
22. Write the Euler- s equations of motion for impulsive forces.
23. Write the equation of Locus of an Invariable line.
24. What happens to kinetic energy and angular momentum
25. Write the principle of conservation of Linear momentum.
26. Write the principle of conservation of angular momentum.
27. Define the conservation forces.
28. Write the principle of conservation of Energy.
29. Define the generalized co-ordinates.
30. What is the degree of Freedom for a single particle moving in space at any time t-
31. Define the Halonomous system.
32. Define a conservative system.
33. What is the necessary condition for a steady motion of a top-
34. Define a top.
35. Define spin for a top.
36. What are the limits of – for a motion of a top-
37. Write the equations of motion of the top.
38. Write the Hamilton- s principle.
39. Write the principle of Least Action.
40. Write the Lagrange- s function.
41. Write the Lagrange- s equation of motion for conservative system in terms of Lagrange-
42. .Write the total energy of a system.
43. Define the pressure.
44. Define an Ideal fluid.
45. Define an Isotropic fluid.
46. Define Laminar flow.
47. Define a stagnation point.
48. Write the velocity of fluid at the point – (x, y, z)
49. Give te condition under which the fluid motion is irrotational.
50. What is the condition for a possible liquid motion-
51. Write the equation on continuity for incompressible fluid.
52. Write the equation of continuity in Lagrangian form.
53. Give the equation of continuity in Cartesian coordinates system.
54. Give the equation of contiuity if the fluid is homohenous and incompressible.
55. Write the equation of continuity in cylindrical polar coordinate.
56. Give the equation of continuity of a liquid flow through a pipe. A SV = Constant where S is sectional area and V is the velocity.
57. Write down the condition for a surface representing a boundary surface.
58. Write the Euler?s dynamical equation in vector notation.
59. Write the Euler?s dynamical equation of motion in Cartesian coordinate
60. Define the conservative field of force. A A field of force having components X,Y and Z parallel to axes is called conservative if the work done by the force per unit mass from one point to the other is independent of the path of the motion.
61. Write the bernoulli?s equation for the unsteady-irrotational motion of an incompressible fluid.
62. Write the Bernoulli?s equation if motion is steady.
63. How is impulse related to momentum? A Impulse = change in momentum
64. The Cauchy?s integrals are the integral of which equation? A Halm voltz equation
65. In the absence of extraneous impulses the impulsisce pressure at any point of a liquid satisfies which equation. A Laplace?s equation
66. Write the equation of motion under impulsive forces in vector form
67. Write the Cauchy?s Integrals.
68. Write the complex potential due to a doublet which makes an angle ?? with x-axis.
69. Define a doublet. A A combinations of a source of strength m and a sink of strength m at a small distance ??S a parts where in the limit m is taken infinitely large a and ??S infinitely small such that the product m ??S remains finite and equal to ?? then it is called a doublet of strength ??.
70. Write the complex potential for a doublet.
71. Write the complex potential when a source of strength m and a sink a strength (-m) at a point (a, 0) and (o, a) respectively.
72. What happens to the velocity potential when the motion is not irrosational? A Velocity potential does not exists.