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Engineering Mechanics problems


  • 1. The moment of inertia of a square of side (a) about an axis through its centre of gravity is

  • Options
  • A. a4/4
  • B. a4/8
  • C. a4/12
  • D. a4/36
  • Discuss
  • 2. The ratio of static friction to dynamic friction is always

  • Options
  • A. equal to one
  • B. less than one
  • C. greater than one
  • D. none of these
  • Discuss
  • 3. A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is(where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

  • Options
  • A. MS/3
  • B. MS/4
  • C. MS/5
  • D. none of these
  • Discuss
  • 4. A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act

  • Options
  • A. towards the wall at its upper and
  • B. away from the wall at its upper end
  • C. downward at its upper end
  • D. upward at its upper end
  • Discuss
  • 5. The motion of a wheel of a car is

  • Options
  • A. purely translation
  • B. purely rotational
  • C. combined translation and rotational
  • D. none of these
  • Discuss
  • 6. The slope on the road surface generally provided on the curves is known as

  • Options
  • A. angle of friction
  • B. angle of repose
  • C. angle of banking
  • D. none of these
  • Discuss
  • 7. A body is said to move or vibrate with simple harmonic motion if its acceleration is directed towards the mean position.

  • Options
  • A. True
  • B. False
  • Discuss
  • 8. The moment of inertia of a thin rod of mass m and length l,about an axis through its centre of gravity and perpendicular to its length is

  • Options
  • A. ml2/4
  • B. ml2/ 6
  • C. ml2/8
  • D. ml2/12
  • Discuss
  • 9. The cartesian equation of trajectory is(where u = Velocity of projection, ? = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

  • Options
  • A.
  • B.
  • C.
  • D.
  • Discuss
  • 10. When a body of mass moment of inertia I (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is

  • Options
  • A. I?
  • B. I?2
  • C. 0.5I?
  • D. 0.5I?2
  • Discuss

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