Applied Mechanics and Graphic Statics MCQs with answers Page - 1

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Q. A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

  • (A) 43525
  • (B) 43526
  • (C) 43709
  • (D) 43716

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Q. A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

  • (A) 0.33
  • (B) 0.44
  • (C) 0.57
  • (D) 0.67

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Q. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is

  • (A) 43556
  • (B) 43526
  • (C) 43558
  • (D) 43528

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Q. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

  • (A) 400 watts
  • (B) 500 watts
  • (C) 4000 watts
  • (D) None of these

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Q. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

  • (A) 10 m/sec
  • (B) 15 m/sec
  • (C) 20 m/sec
  • (D) 25 m/sec

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Q. A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping?
(i) 1.0 in from the wall
(ii) 1.732 m from the wall
(iii) 1.0 m above the floor
(iv) 1.732 m above the floor
The correct answer is

  • (A) (i) and (iii)
  • (B) (i) and (iv)
  • (C) (ii) and (iii)
  • (D) (ii) and (iv)

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Q. μ is coefficient of friction. A wheeled vehicle tarveling on a circular level will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

  • (A) μ
  • (B) 2μ
  • (C) 3μ
  • (D) 1/2μ

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Q. A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

  • (A) 0.5 m/sec
  • (B) 1.5 m/sec
  • (C) 2.5 m/sec
  • (D) 3.5 m/sec

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Q. A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

  • (A) Zero
  • (B) 0.5 m/sec
  • (C) 1.0 m/sec
  • (D) 2.0 m/sec

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Q. A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball on the table. If the impact is perfectly plastic, the velocity of the ball just after impact would be

  • (A) Zero
  • (B) 5 m/sec
  • (C) 10 m/sec
  • (D) None of these

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