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Applied Mechanics problems


  • 1. Energy may be defined as

  • Options
  • A. power of doing work
  • B. capacity of doing work
  • C. rate of doing work
  • D. all the above.
  • Discuss
  • 2. A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is

  • Options
  • A. 17° 48'
  • B. 18° 48'
  • C. 19° 48'
  • D. 20° 48'
  • E. 21° 48'.
  • Discuss
  • 3. From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

  • Options
  • A. 2.0 cm
  • B. 1.5 cm
  • C. 1.0
  • D. 0.5 cm.
  • Discuss
  • 4. To double the period of oscillation of a simple pendulum

  • Options
  • A. the mass of its bob should be doubled
  • B. the mass of its bob should be quadrupled
  • C. its lenght should be quadrupled
  • D. its length should be doubled.
  • Discuss
  • 5. A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses

  • Options
  • A. maximum kinetic energy and minimum potential energy
  • B. maximum kinetic energy and maximum potential energy
  • C. minimum kinetic energy and maximum potential energy
  • D. minimum kinetic, energy and minimum potential energy
  • E. none of these.
  • Discuss
  • 6. If ? is the angular acceleration of a compound pendulum whose angular displace ment is ?, the frequency of the motion is

  • Options
  • A. 2??/?
  • B.
  • C. 4??/?
  • D. 2?? - ?.
  • Discuss
  • 7. The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed

  • Options
  • A. radially
  • B. tangentially at that point
  • C. away from the centre
  • D. towards the centre.
  • Discuss
  • 8. The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is b and the vertical side is a, from its vertical face is

  • Options
  • A.
  • B.
  • C.
  • D. none of these.
  • Discuss
  • 9. A train weighing 196 tonnes experiences a frictional resistance of Civil Engineering Applied Mechanics: A train weighing 196 tonnes experiences a frictional resistance of per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

  • Options
  • A. 510 m/sec
  • B. 105 m/sec
  • C. 53 m/sec
  • D. 35 m/sec.
  • Discuss
  • 10. If a particle moves with a uniform angular velocity ? radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is

  • Options
  • A. v = ?
  • B. y = ? y - r
  • C. v = ?
  • D. v = ?
  • Discuss

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