LIC ADO - Applied Mechanics and Graphic Statics 1000+ MCQ [Solved] PDF Download

1. A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
A. 200 tonnes at the centre
B. 500 tonnes at the centre
C. 200 tonnes at the right support
D. 200 tonnes at the left support
Answer : B

2. The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
A. 98 m
B. 490 m
C. 980 m
D. 1960 m
Answer : C

3. 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
Answer : B

4. The apparent weight of a man in a moving lift is less than his real weight when it is going down with
A. Uniform speed
B. An acceleration
C. Linear momentum
D. Retardation
Answer : B

5. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?
A. Sphere with greater rotational energy at bottom than cylinder
B. Sphere with lesser rotational energy at bottom than cylinder
C. Cylinder with greater rotational energy at bottom than sphere
D. Both reach the bottom simultaneously with equal rotational energy at bottom
Answer : B

6. The shape of a suspended cable for a uniformly distributed load over it is
A. Circular
B. Parabolic
C. Catenary
D. Cubic parabola
Answer : B

7. A smooth cylinder lying on its convex surface remains
A. In stable equilibrium
B. In unstable equilibrium
C. In neutral equilibrium
D. Out of equilibrium
Answer : B

8. A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is
A. 0.5 m/sec
B. 1.0 m/sec
C. 1.5 m/sec
D. 2.5 m/sec
Answer : B

9. If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then? (i) A force is required to move the body upwards (ii) A force is required to move the body downward (iii) The body will not be in equilibrium The correct answer is
A. Only (i)
B. Only (ii)
C. Both (i) and (ii)
D. Both (i) and (iii)
Answer : C

10. If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is
A. 30°
B. 45°
C. 60°
D. 120°
Answer : D

11. One Newton is equivalent to
A. 10⁵ dyne
B. 10⁶ dyne
C. 10⁷ dyne
D. 10⁸ dyne
Answer : A

12. A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
A. 109.5 mm from A
B. 119.5 mm from A
C. 125.5 mm from A
D. 132.5 mm from A
Answer : A

13. The point about which combined motion of rotation and translation of a rigid body takes place, is known as
A. Virtual centre
B. Instantaneous centre
C. Instantaneous axis
D. Point of rotation
Answer : B

14. The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called
A. Angle of repose
B. Angle of friction
C. Angle of inclination
D. None of these
Answer : A

15. 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
Answer : D

16. The velocity of a moving body, is
A. A vector quantity
B. A scalar quantity
C. A constant quantity
D. None of these
Answer : A

17. The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
A. 5.88 m/sec
B. 8.88 m/sec
C. 10.88 m/sec
D. 12.88 m/sec
Answer : C

18. The motion of a particle is described by the relation x = t2- 10t + 30, where x is in metres and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be
A. Zero
B. 30 m
C. 50 m
D. 60 m
Answer : A

19. A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?
A. 1 m × 2 m
B. 2 m × 3 m
C. 1 m × 3 m
D. Equally stable on all faces
Answer : B

20. A square hole is punced out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be
A. [r (? + 0.25)]/(? - 0.5)
B. [r (? - 0.5)]/(? + 0.25)
C. [r (? - 0.25)]/(? - 0.5)
D. [r (? + 0.25)]/(? + 0.5)
Answer : C

21. 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
Answer : B

22. M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is
A. ?/64 (D⁴ + d⁴)
B. ?/32 (D⁴ - d⁴)
C. ?/32 (D⁴ + d⁴)
D. ?/32 (D⁴ × d⁴)
Answer : B

23. The characteristic of a couple is:
A. Algebraic sum of forces, constituting a couple is zero
B. Algebraic sum of moments of forces, constituting a couple, about any point, is same
C. A couple can be never the balanced by a single force
D. All the above
Answer : D

24. A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
A. 16 m/sec
B. 18 m/sec
C. 20 m/sec
D. 22 m/sec
Answer : C

25. Equation of motion of a point in a straight line, is
A. v = u + ft
B. S = ut + ½ ft²
C. 2fS = v2 - u²
D. All the above
Answer : D

26. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down
A. Rubber and lead balls undergo equal changes in momentum
B. Change in momentum suffered by lead ball is less that of rubber ball
C. Momentum of rubber ball is less than that of lead ball
D. None of these
Answer : D

27. If ? and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is
A. u² sin ?/g
B. u² sin² ?/g
C. u² sin ?/2g
D. u² sin² ?/2g
Answer : A

28. The unit of moments in M.K.S system, is
A. kg.m
B. kg/m²
C. kg/sec²
D. kg/sec
Answer : A

29. The velocity of a moving body, is
A. A vector quantity
B. A scalar quantity
C. A scalar as well as a vector quantity
D. None of these
Answer : A

30. The force polygon representing a set of forces in equilibrium is a
A. Triangle
B. Open polygon
C. Closed polygon
D. Parallelogram
Answer : C

31. Minimum pull in a suspended cable with supports at two ends is equal to
A. Horizontal thrust
B. Support reactions
C. Resultant of horizontal thrust and support reaction
D. Half the weight of the cable
Answer : A

32. If the angular distance, 0 = 2t³ - 3t², the angular acceleration at t = 1 sec. is
A. 1 rad/sec²
B. 4 rad/sec²
C. 6 rad/sec²
D. 12 rad/sec²
Answer : C

33. For a given velocity of a projectile, the range is maximum when the angle of projection is
A. 30°
B. 45°
C. 90°
D. 0°
Answer : B

34. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be
A. 20 m/sec
B. 30 m/sec
C. 40 m/sec
D. 50 m/sec
Answer : B

35. When a body falls freely under gravitational force, it possesses
A. Maximum weight
B. Minimum weight
C. No weight
D. No effect on its weight
Answer : C

36. A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is
A. 40 kg
B. 60 kg
C. 10 kg
D. 100 kg
Answer : C

37. The velocity ratio of the differential wheel and axle is
A. R/r1 - r2
B. 2R/r1
C. 3R/r1 - r2
D. 2R/r1 + r2
Answer : B

38. Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
A. 9.3 m/sec
B. 8.3 m/sec
C. 7.3 m/sec
D. 6.3 m/sec
Answer : A

39. Total no of instantaneous centres of a machine having n links, is
A. n/2
B. n
C. (n - 1)
D. n (n - 1)/2
Answer : D