1000+ Applied Mechanics and Graphic Statics Multiple Choice Question Answer [Solved]

1. Which of the following is a scalar quantity?
A. Energy
B. Momentum
C. Torque
D. Impulse
Answer : A

2. Parallelogram Law of Forces states, if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by
A. Its longer side
B. Its shorter side
C. The diagonal of the parallelogram which does not pass through the point of intersection of the forces
D. The diagonal of the parallelogram which passes through the point of intersection of the forces
Answer : D

3. Pick up the correct statement from the following for the structure shown in below figure.

A. The horizontal reaction at A is 2 ?3t ?
B. The horizontal reaction at C is 2 ?3t ?
C. The vertical reaction at A is zero
D. All the above
Answer : D

4. 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

5. The centre of gravity of a triangle is at the point where three
A. Medians of the triangle meet
B. Perpendicular bisectors of the sides of the triangle meet
C. Bisectors of the angle of the triangle meet
D. None of these
Answer : A

6. A glass ball is shot to hit a wall from a point on a smooth floor. If the ball returns back to the point of projection in twice the time taken in reaching the wall, the coefficient of restitution between the glass ball and the wall is
A. 0.25
B. 0.33
C. 0.40
D. 0.50
Answer : D

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

8. 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

9. 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

10. 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%
Answer : B

11. Power can be expressed as
A. Work/energy
B. Work/time
C. Work × time
D. Work/distance
Answer : B

12. The Law of Polygon of Forces states that
A. If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium
B. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by the closing side of the polygon
C. If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side of the polygon, taken in opposite order
D. If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium
Answer : C

13. The unit of impulse, is
A. kg.m/sec
B. kg.m/sec
C. kg.m/sec²
D. kg.m/sec
Answer : A

14. Rate of change of angular momentum is equal to
A. Force
B. Torque
C. Linear momentum
D. Impulse
Answer : B

15. A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
A. Simple pendulum
B. Compound pendulum
C. Second's pendulum
D. None of these
Answer : B

16. A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if
A. Floor is smooth and wall is rough
B. Floor is rough and wall is smooth
C. Both floor and wall are rough
D. Both floor and wall are smooth
Answer : D

17. 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
Answer : A

18. 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 rain 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

19. A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes
A. E
B. E/2
C. 2E
D. 4E
Answer : D

20. 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

21. The intrinsic equation of catenary is
A. S = c tan ?
B. y = c cosh x/c
C. y = c cosh ?
D. y = c sinh ?
Answer : A

22. A satellite goes on moving along its orbit round the earth due to
A. Gravitational force
B. Centrifugal force
C. Centripetal force
D. None of these
Answer : B

23. A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is
A. 1/4
B. 1/3
C. 3
D. 4
Answer : B

24. Pick up the correct statement from the following:
A. Nature plays an important role in the launch of a satellite
B. The earth's gravity reduces the speed of a satellite by 32 km per second
C. The gravitational force relents as the satellite climbs higher
D. All the above
Answer : D

25. If ? 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 2?/g
B. T = u sin²?/g
C. T = u sin²?/2g
D. T = 2u sin?/g
Answer : D

26. Select the correct statement
A. The body centrode rolls on the space centrode
B. The space centrode rolls on the body centrode
C. Both body and space centrodes may role on each other
D. The body centrode never touches space centrode
Answer : A

27. A simple pendulum of length l has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
A. E
B. E/2
C. 2E
D. 4E
Answer : B

28. The angle of projection at which the horizontal range and maximum height of a projectile are equal to
A. 36°
B. 45°
C. 56°
D. 76°
Answer : D

29. The following is in unstable equilibrium
A. A uniform solid cone resting on a generator on a smooth horizontal plane
B. A uniform solid cone resting on its base on a horizontal plane
C. A solid cube resting on one edge
D. A satellite encircling the earth
Answer : C

30. 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

31. 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

32. The units of inertia of mass are
A. kg/m
B. kg/m²
C. m⁴
D. kg-m²
Answer : D

33. 0.For maximum range of a projectile, the angle of projection should be
A. 30°
B. 45°
C. 60°
D. None of these
Answer : B

34. At the instantaneous center, the velocity of the moving lamina at any instant is
A. Zero
B. Maximum
C. Minimum
D. Varying
Answer : A

35. The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known
A. Sliding friction
B. Rolling friction
C. Limiting friction
D. None of these
Answer : C

36. The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
A. 188.5 m/sec
B. 18.85 m/sec
C. 1.885 m/sec
D. 0.18845 m/sec
Answer : C

37. 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

38. 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

39. 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. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
A. e = v1 - v2/u2 - u1
B.e = u2 - u1/v1 - v2
C. e = v2 - v1/u1 - u2
D. e = v1 - v2/u2 + u1
Answer : C

40. To double the period of oscillation of a simple pendulum
A. The mass of its bob should be doubled
B. The mass of its bob should be quadrupled
C. Its length should be quadrupled
D. Its length should be doubled
Answer : C

41. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan1 x, where x is
A. 3/4
B. 4/5
C. 5/3
D. 3/5
Answer : D

42. A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)
A. 15 m/sec
B. 25 m/sec
C. 40 m/sec
D. 50 m/sec
Answer : B

43. Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by
A. 5.5 kg
B. 6.25 kg
C. 8.75 kg
D. 10.5 kg
Answer : C

44. If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
A. 57°
B. 58°
C. 59°
D. 60°
Answer : B

45. 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

46. Work may be defined as
A. Force × distance
B. Force × velocity
C. Force × acceleration
D. None of these
Answer : A

47. 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
Answer : C

48. 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

49. Which of the following represents the state of neutral equilibrium?
A. A cube resting on one edge
B. A smooth cylinder lying on a curved surface
C. A smooth cylinder lying on a convex surface
D. None of the above
Answer : D

50. In simple harmonic motion, acceleration of a particle is proportional to
A. Rate of change of velocity
B. Displacement
C. Velocity
D. Direction
Answer : B