Applied Mechanics and Graphic Statics - Set 18

Practice Test: Question Set - 18

1. The force which produces an acceleration of 1 m/sec2 in a mass of one kg, is called
    (A) Dyne
    (B) Newton
    (C) Joule
    (D) Erg

2. If ‘G’ is the Gauge of track, ‘v’ is velocity of the moving vehicle, ‘g’ is the acceleration due to gravity and ‘r’ is the radius of a circular path, the required super elevation is
    (A) gv²/Gr
    (B) Gr²/gr
    (C) Gr²/gv²
    (D) Gv²/gv

3. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?
    (A) Pyramid
    (B) Prism
    (C) Both equally stable
    (D) None of the above

4. For a particle moving with a simple harmonic motion, the frequency is
    (A) Directly proportional to periodic time
    (B) Inversely proportional to periodic time
    (C) Inversely proportional to its angular velocity
    (D) Directly proportional to its angular velocity

5. Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is
    (A) Maximum if it acts at the centre of gravity of the body
    (B) Different at different points on its line of
    (C) Same at every point on its line of action
    (D) Minimum if it acts at the C.G. of the body

6. 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)

7. If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by ‘n’. Where, ‘n’ is
    (A) 2
    (B) 3
    (C) 4
    (D) 5

8. Which one of the following laws is not applicable to a simple pendulum?
    (A) The time period does not depend on its magnitude
    (B) The time period is proportional to its length l
    (C) The time period is proportional to l, where l is length
    (D) The time period is inversely proportional to g, where g is the acceleration due to gravity

9. One Newton is equivalent to
    (A) 105 dyne
    (B) 106 dyne
    (C) 107 dyne
    (D) 981 dyne

10. If ‘α’ and ‘u’ are angle of projection and initial velocity of a projectile respectively, the total time of flight, is given by
    (A) T = u sin 2α/g
    (B) T = u sin²α/g
    (C) T = u sin²α/2g
    (D) T = 2u sinα/g

11. A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be
    (A) 48 kg
    (B) 60 kg
    (C) 72 kg
    (D) None of these

12. The condition for a lifting machine to be reversible is that its efficiency should be
    (A) Less than 50%
    (B) More than 50%
    (C) More than 66.67%
    (D) Equal to 100%

13. The C.G. of a hemisphere from its base measured along the vertical radius is at a distance of
    (A) 4R/3π
    (B) 3R/8
    (C) 3πR/4
    (D) 8R/3

14. To avoid bending action at the base of a pier,
    (A) Suspension and anchor cables are kept at the same level
    (B) Suspension and anchor cables are fixed to pier top
    (C) Suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier
    (D) None the these

15. The pole distance is measured in
    (A) Distance scale
    (B) Force scale
    (C) Mass scale
    (D) Time scale

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