Applied Mechanics and Graphic Statics

1. 'P'is the force acting on a body whose mass is 'm' and acceleration is 'f'. The equation P - mf= 0, is known as

  1. Equation of dynamics
  2. Equation of dynamic equilibrium
  3. Equation of statics
  4. None of these

Correct answer: (A)
Equation of dynamics

2. 'U1' and 'U2' are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are 'v1' and 'v2' wton's law of collision of elasticbodies, the coefficient of restitution (e) is given by

  1. e = v1 - v2/u2 - u1
  2. e = u2 - u1/v1 - v2
  3. e = 2 - v1/u1 - u2
  4. e = v1 - v2/u2 + u1Answer: Option C

Correct answer: (C)
e = 2 - v1/u1 - u2

3. 'w' rad/sec is the sngular velocity of a crank whose radius is 'r'. If it makes θwith inner dead centre and obliquity of the connecting rod '1' is 'φ' the velocity v of the piston, is given by the equation

  1. ω2 (l cos φ + r sin φ tan θ)
  2. ω2 (l sin φ + r cos Φ tan θ)
  3. ωl sin φ + r cos φ tan θ)
  4. ω2 (l sin φ - r cos θ tan )

Correct answer: (C)
ωl sin φ + r cos φ tan θ)

4. 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

  1. μ
  2. ½μ

Correct answer: (B)

5. 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

  1. (i) and (iii)
  2. (i) and (iv)
  3. (ii) and (iii)
  4. (ii) and (iv)

Correct answer: (D)
(ii) and (iv)

6. 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

  1. 10 m/sec
  2. 15 m/sec
  3. 20 m/sec
  4. 25 m/sec

Correct answer: (C)
20 m/sec

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

  1. 400 watts
  2. 500 watts
  3. 4000 watts
  4. None of these

Correct answer: (A)
400 watts

8. 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

  1. 43556
  2. 43526
  3. 43558
  4. 43528

Correct answer: (C)

9. 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

  1. 0.33
  2. 0.44
  3. 0.57
  4. 0.67

Correct answer: (D)

10. 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

  1. 43525
  2. 43526
  3. 43709
  4. 43716

Correct answer: (D)

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