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

1. One Newton force, is
A. 10³ dynes
B. 10⁴ dynes
C. 10⁵ dynes
D. 10⁶ dynes
Answer : C

2. A square hole is punched 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

3. Instantaneous center is at infinity when the angular velocity is
A. Constant
B. Zero
C. Maximum
D. Minimum
Answer : B

4. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
A. 64 J
B. 400 J
C. 464 J
D. 89 J
Answer : C

5. 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

6. If two bodies of masses M₁ and M₂(M₁ > M₂) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by
A. T = g(M₁ - M₂)/(M₁ + M₂)
B. T = g(M₁ + M₂)/(M₁ × M₂)
C. T = g(M₂ - M₁)/(M₁ + M₂)
D. T = g(M₂ + M₁)/(M₂ - M₁)
Answer : A

7. The load shared by the member BC of the structure shown in below figure is

A. 23 t
B. 32 t
C. 4 t
D. 3 t
Answer : C

8. 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

9. If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along
A. The same line in the same sense
B. The same line in opposite sense
C. The perpendicular to both the lines
D. None of these
Answer : B

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

11. On a mass m describing a circular path of radius r, the centrifugal force
A. Acts tangentially to the circular path
B. Acts towards the centre of rotation
C. Acts away from the centre of rotation
D. Is mw^2r/g kgf
Answer : B

12. Pick up the incorrect statement from the following. In a simple 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

13. 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

14. Pick up the correct statement from the following:
A. If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities
B. If a sphere impinges directly on an equal sphere which is at rest, then a fraction ½(1 - e2) the original kinetic energy is lost by the impact
C. If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles
D. All the above
Answer : D

15. 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

16. 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

17. The resultant of two forces P and Q acting at an angle ?, is
A. P² + Q² + 2P sin ?
B. P² + Q² + 2PQ cos ?
C. P² + Q² + 2PQ tan ?
D. ?(P² + Q² + 2PQ cos ?)
Answer : D

18. The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be
A. 30°
B. 45°
C. 60°
D. 75°
Answer : D

19. A particle is dropped from a heightof 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is
A. 0.5 m
B. 0.75 m
C. 1.0 m
D. 1.5 m
Answer : B

20. Angular acceleration of a particle may be expressed as
A. Radians/sec²
B. Degrees/sec²
C. Revolutions/sec
D. All the above
Answer : D

21. 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

22. The phenomenon of collision of two elastic bodies takes place because bodies
A. Immediately after collision come momentarily to rest
B. Tend to compress each other till they are compressed maximum possible
C. Attempt to regain its original shape due to their elasticities
D. All the above
Answer : D

23. 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

24. The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is
A. (a² + ab + b²)/3 (a + b)
B. (b² + bc + c²)/3 (b + c)
C. (a² + ab + c²)/3 (a + c)
D. None of these
Answer : A

25. The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is

A. 229.34 cm4
B. 329.34 cm4
C. 429.34 cm4
D. 529.34 cm4
Answer : C

26. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is
A. 102.5 kg
B. 105.5 kg
C. 108.5 kg
D. 110 kg
Answer : A

27. 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

28. A train weighing 196 tonnes experiences a frictional resistance of 5 11/22 per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is
A. 5 ?10 m/sec
B. 10 ?5 m/sec
C. 5 ?3 m/sec
D. 3 ?5 m/sec
Answer : A

29. 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

30. 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

31. 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

32. 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

33. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on
A. A point
B. A straight line
C. Two straight lines
D. A triangle
Answer : B

34. For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is
A. 60 %
B. 65 %
C. 70 %
D. 75 %
Answer : D

35. The centre of gravity of a homogenous body is the point at which the whole
A. Volume of the body is assumed to be concentrated
B. Area of the surface of the body is assumed to be concentrated
C. Weight of the body is assumed to be concentrated
D. All the above
Answer : C

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

37. Force polygon method is applicable for
A. Any coplanar force system
B. A system of parallel forces only
C. Concurrent coplanar force system
D. Non-concurrent coplanar force system
Answer : C

38. 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

39. Time period and length of a seconds pendulum respectively are
A. 1 sec and 99.4 cm
B. 1 sec and 92.7 cm
C. 2 sec and 99.4 cm
D. 2 sec and 92.7 cm
Answer : C

40. 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

41. 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

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

43. 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

44. If the gravitational acceleration at any place is doubled, the weight of a body, will
A. Be reduced to half
B. Be doubled
C. Not be affected
D. None of these
Answer : B

45. When two forces, each equal to P, act at 90° to each other, then the resultant will be
A. P
B. P?2
C. P/?2
D. 2P
Answer : B

46. One half of a vibration of a body, is called
A. Period time
B. Oscillation
C. Beat
D. Amplitude
Answer : C

47. The reaction at the support B of the beam shown in below figure is
A. 1.6 t
B. 9.6 t
C. 8.5 t
D. 0.5 t
Answer : C

48. 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

49. At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is
A. 7 km/hrs
B. 2 km/hrs
C. 1 km/hrs
D. 10 km/hrs
Answer : D

50. The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed
A. Radially
B. Tangentially at that point
C. Away from the centre
D. Towards the centre
Answer : B