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Applied Mechanics problems

  • 1. The resultant of two forces acting at right angles is 34 kg and acting at 60° is 70 kg. The forces are

  • Options
  • A. 1 kg and 4 kg
  • B. 2 kg and 3 kg
  • C. 3 kg and 5 kg
  • D. 3 kg and 5 kg
  • E. 3 kg and 5 kg.
    • Discuss
  • 2. For a simple pendulum, time period for a beat, is

  • Options
  • A. ?l/g
  • B. ?2l/g
  • C. ?g/2l
  • D. ?l/2g
  • E. ?2g/l.
    • Discuss
  • 3. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

  • Options
  • A. ? = -
  • B. ? = +
  • C. ? = -
  • D. ? = -
  • E. ? = -
    • Discuss
  • 4. The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be

  • Options
  • A. 2
  • B. 3
  • C. 4
  • D. 5
  • E. 4.5
    • Discuss
  • 5. Newtons's Law of Motion is :

  • Options
  • A. Every body continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force
  • B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
  • C. To every action, there is always an equal and opposite reaction
  • D. All the above.
    • Discuss
  • 6. The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

  • Options
  • A. l
  • B.
  • C.
  • D.
  • E. none of these.
    • Discuss
  • 7. For a simple pendulum, the period of one oscillation is

  • Options
  • A. 2?l/2g
  • B. 2?2g/l
  • C. 2?l/g
  • D. 2?g/2l.
    • Discuss
  • 8. A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

  • Options
  • A. 5 N
  • B. 10 N
  • C. 15 N
  • D. 25 N
  • E. None of these.
    • Discuss
  • 9. Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

  • Options
  • A. concurrent
  • B. parallel
  • C. concurrent parallel
  • D. none of these.
    • Discuss
  • 10. The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

  • Options
  • A. 1/4
  • B. 1/2
  • C. 3/4
  • D. 2.
    • Discuss

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