1000+ Applied Mechanics and Graphic Statics MCQ for SSC CHSL [Solved]

1. The motion of a bicycle wheel is
A. Translatory
B. Rotary
C. Rotary and translatory
D. Curvilinear
Answer : C

2. The reaction at the support A of the beam shown in below figure is
A. 2 t
B. 5.8 t
C. 0.2 t
D. 3.5 t
Answer : A

3. A funicular polygon cannot be made to pass through
A. One specified point
B. Two specified points
C. Three specified points
D. More than three specified points
Answer : D

4. The resolved part of the resultant of two forces inclined at an angle ? in a given direction is
A. Algebraic sum of the resolved parts of the forces in the direction
B. Arithmetical sum of the resolved parts of the forces in the direction
C. Difference of the forces multiplied by cosine ?°
D. Sum of the forces multiplied by the tangent ?°
Answer : A

5. The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at
A. Supports
B. Quarter span
C. Mid span
D. None of the above
Answer : A

6. For a self-locking machine, the efficiency should be
A. Less than 60%
B. 50 %
C. More than 50%
D. None of these
Answer : A

7. A flywheel of moment of inertia 20 kgm is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is
A. 1/2
B. 3/2
C. 2
D. 3
Answer : B

8. A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
A. The extreme point of the oscillation
B. Through the mean position
C. Through a point at half amplitude
D. None of these
Answer : B

9. The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is
A. b³h/12
B. bh³/3
C. bh³/36
D. bh³/2
Answer : C

10. If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
A. A
B. A/2
C. A/?2
D. A?2
Answer : C

11. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is
A. 50 %
B. 40 %
C. 55 %
D. 30 %
Answer : A

12. A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is
A. 2 J
B. 4 J
C. 6 J
D. 8 J
Answer : B

13. The centre of gravity of a plane lamina will not be at its geometrical centre if it is a
A. Circle
B. Equilateral triangle
C. Rectangle
D. Right angled triangle
Answer : D

14. A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J The correct answer is
A. Only (ii)
B. Both (i) and (iii)
C. Both (ii) and (iii)
D. All (i), (ii) and (iii)
Answer : B

15. 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

16. A stone is whirled in a vertical circle, the tension in the string, is maximum
A. When the string is horizontal
B. When the stone is at the highest position
C. When the stone is at the lowest position
D. At all the positions
Answer : C

17. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is
A. 50
B. 55
C. 60
D. 65
Answer : A

18. When a body moves round a fixed axis, it has
A. A rotary motion
B. A circular motion
C. A translatory
D. A rotary motion and translatory motion
Answer : B

19. The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is
A. 0.1 radian/sec
B. 1 radian/sec
C. 100 radian/sec
D. 1000 radian/sec
Answer : A

20. A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball B on the table. If the impact is perfectly plastic, the velocity of the ball B just after impact would be
A. Zero
B. 5 m/sec
C. 10 m/sec
D. None of these
Answer : A

21. Pick up the incorrect statement from the following. In a simpe harmonic motion
A. Velocity is maximum at its mean position
B. Velocity is minimum at the end of the stroke
C. Acceleration is minimum at the end of the stroke
D. Acceleration is zero at the mean position
Answer : C

22. The velocity of a body fallen from height h, on reaching the ground is given by
A. v = 2gh
B. v = 2gh²
C. v = ?(2gh)
D. v = 1/?(2gh)
Answer : C

23. The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
A. 0.2 R
B. 0.4 R
C. 0.3 R
D. 0.6 R
Answer : D

24. 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

25. 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

26. If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called
A. Virtual work
B. Imaginary work
C. Zero work
D. Negative work
Answer : D

27. A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length
A. Must be decreased
B. Must be increased
C. Is not changed but weight of the bob is increased
D. Is not changed but weight of the bob is decreased
Answer : B

28. The bending moment in an arch is proportional to
A. Vertical ordinate of funicular polygon
B. Vertical ordinate of the arch
C. Intercept between the arch axis and the funicular polygon
D. None of these
Answer : C

29. A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is
A. 2 cm
B. 3 cm
C. 4 cm
D. 5 cm
Answer : D

30. A geo-stationary satellite is one which orbits the earth with a velocity of rotation of
A. Moon
B. Earth
C. Sun
D. Pole
Answer : B

31. 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

32. 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
Answer : A

33. 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
Answer : B

34. A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
A. 0.5 m/sec²
B. 0.7 m/sec²
C. 1 m/sec²
D. 1 cm/sec²
Answer : B

35. For the system of the loads shown in below figure, the time required for the 6.6 kg load to fall on the edge, is
A. 1 sec
B. 2 sec
C. 3 sec
D. 4 sec
Answer : C

36. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
A. Straight line and parabola
B. Straight line and circle
C. Circle and straight line
D. Circle and parabola
Answer : C

37. ? rad/sec is the angular velocity of a crank whose radius is r. If it makes ?° with inner dead centre and obliquity of the connecting rod l is ?, the velocity v of the piston, is given by the equation
A. ?² (l cos ? + r sin ? tan ?)
B. ?² (l sin ? + r cos ? tan ?)
C. ? (l sin ? + r cos ? tan ?)
D. ?² (l sin ? - r cos ? tan ?)
Answer : C

38. Lami's theorem states that
A. Three forces acting at a point are always in equilibrium
B. If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium
C. Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two
D. Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two
Answer : C

39. 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

40. A projectile is thrown at an angle ? to the horizontal with velocity v. It will have the maximum centripetal acceleration
A. At the start
B At the top of the trajectory
C. As it strikes the ground
D. Elsewhere
Answer : A

41. The moment of inertia of a circular lamina of diameter d, about an axis perpendicular to the plane of the lamina and passing through its centre, is
A. ?d⁴/12
B. ?d⁴/16
C. ?d⁴/24
D. ?d⁴/32
Answer : D

42. A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is
A. 70 m/sec
B. 75 m/sec
C. 80 m/sec
D. 90 m/sec
Answer : D

43. Newtons Law of Motion is:
A. Everybody continues in its state of rest or of uniform motion in a straight line, unless it is acted upon by some external force
B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
C. To every action, there is always an equal and opposite reaction
D. All the above
Answer : D

44. In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?
A. Howe truss
B. King post truss
C. Fink truss
D. Warren truss
Answer : C

45. A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ? and angle of friction is ?, the minimum value of P, is
A. w sin (? - ?)/cos ?
B. w sin (? - ?)/cos ?
C. w cos (? + ?)/cos ?
D. w sin? cos(? - ?)/sin ?
Answer : B

46. On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts
A. Towards the wall at its upper end
B. Away from the wall at its upper end
C. Upwards at its upper end
D. Downwards at its upper end
Answer : C

47. The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of
A. 2000 m
B. 2100 m
C. 2200 m
D. 2300 m
Answer : D

48. M.I. of solid sphere, is
A. ? Mr²
B. ½ Mr²
C. Mr²
D. ?r⁴/2
Answer : C

49. The diagram showing the point of application and line of action of forces in their plane is called
A. Vector diagram
B. Space diagram
C. Force diagram
D. Funicular diagram
Answer : B

50. 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