Corner Stone Academy Pvt. Ltd, ChennaiObjective Questions(Module3)

Prepared by Raj Kumar.G1. The process of finding out the resultant force is known as ____________ of forces.

[ ](a) Composition (b) resolution (c) Both (d) None of the above

2. According to the principle of transmissibility of forces, the effect of force on a body is[ ]

(a) Same at every point in its line of action(b) Different at different point its line of action(c) Minimum when it acts at the center of gravity of the body(d) Maximum when it acts at the center of gravity of the body3. In the system of forces, if all the forces may lie on different planes, they are said to be_____

[ ](a) Coplanar Non-concurrent (b) Non Collinear (c) Spatial (d) Planar4. The resultant of two forces is 400N. If the forces are inclined at 400 and 600 with the resultant,one on either side, calculate the magnitude of the two forces. [ ](a) 351, 261 (b) 296,157 (c) 127,109 (d) Same magnitude5. A particle has a_________ [ ](a) Negligible mass but size can be considered (b) Considerable mass but size can be neglected(c) Both Size and mass are considered (d) any one of the above6. Varignons theorem is applicable only when the forces are [ ](a) coplanar (b) Concurrent (c) Non-concurrent (d) Parallel7. Which of the following system of forces cannot be reduced to a single force? [ ](a) Non-concurrent forces in space (b) Non-concurrent forces in a plane(c) Parallel forces in space (d) Parallel forces in a plane8. If the body is in static equilibrium then it implies the body [ ](a) is at rest (b) is at rest or moving with constant velocity(c) is moving with constant acceleration (d) is oscillating about a fixed point9. When forces acting on a particle keep it in equilibrium then [ ](a) the force polygon closes (b) the resultant force is zero(c) the acceleration of the particle is zero (d) all of the above10. A hinge support constrains [ ](a) Translational motion along x-direction (b) translational motion along xy plane(c) Rotational motion perpendicular to the axis (d) translational and rotation11. The magnitude of two forces is such that when acting at right angles produce a resultantforce of 20 and when acting at 600 produce a resultant equal to 28. The forces have amagnitude of [ ](a) 10 and 10 (b) 4 and 7 (c) 2 and 4 (d) 2 and 5

12. A structure is said to be statically indeterminate when [ ](a) the number of unknown forces are same as that of no of equilibrium equations(b) the number of unknown forces are more than the no of equilibrium equations(c) the number of unknown forces are less than the no of equilibrium equations(d) None of the above13. Determine the distance to the centroidal axis XX(a) 112.3 mm (b)125 mm [ ](c) 100 mm (d) 91.7 mm

14. A circular roller of weight W hangs by tie rod and rests againsta smooth vertical wall as shown in figure. The tension in the tie rodAB will be [ ](a) less than weight W(b) greater than weight W(c) equal to W(d) data insufficient15. A framed structure is said to be perfect if the following correlation exists between thenumber of joints j and number of members m [ ](a) m= 2 3 (b) m= 3 3 (c) m= 2 1 (d) m= 216. A sphere of weight 400N rests in a groove formedby two planes OA and OB and these planes are inclinedat 300 and 600 respectively with the horizontal as shownin figure. The reaction on plane OB will be about [ ](a) 125 N (b) 160 N (c) 200 N (d) 345N17. The point A is in equilibrium under the action of applied forcesas shown below The values of tensions TAB and TAC are [ ](a) 520 N and 300N (b) 300 N and 500N(c) 540N and 150 N (d) 150 N and 450N18. Consider cables AB, BC and CD arranged as shown below. If W1 = 1000 N and W2 = 2000N,how large is angle ? [ ]

(a) 300 (b) 450 (c) 600 (d) 750

19. Which of the following structures represents a redundant frame ? [ ]

(a) (b) (c) (d)20. A rectangle ABCD has sides AB = CD = 80 mm and BC = DA = 60 mm. Forces of 150 N eachact along AB and CD and forces of 100 N each at along BC and DA. The resultant moment of theforce system [ ](a) 8000N-mm (b) 9000N-mm (c) 1000 N-mm (d) 1700 N-mm21. An electric light fixture weighing 150 N hangs from a point Aby two strings AB and AC as shown in fig.The tension is string AB would be _____ [ ](a) 77 N (b) 86 N (c) 98 N (d) 109 N

22. If = 300 and T = 6 kN, determine the magnitude of the resultant forceacting on the eyebolt and its direction measured clockwise from thepositive x axis. [ ](a) 8.67N, 3.050 (b) 7.87N,8.350(c) 11N, 2.050 (d) 8.67N, 5.350

23. The direction cosines of the resultant force acting on the ring are(a) 62.3, 112, 22.3 (b) 45.7,109.23, 32.4 [ ](c) 74.8,102,19.6 (d) 87.4,139.4, 23.2324. A right circular cone of 20 cm height weighs 1000N. A cone of 8cmheight and 64 N weight is removed from the top. The distance of Center of gravity of thefrustrum from the base is [ ](a)2.5 cm (b) 3.25 cm (c) 4.25cm (d) 6 cm25. The center of gravity of a body and its center of mass coincide when __________ is uniformthroughout the body [ ](a) acceleration due to gravity (b) density(c) thickness (d) mass26. If an area has an axis of symmetry then [ ](a) its first moment about that axis is zero (b) its centroid lies on that axis(c) both a &b (d) none of the above27. The centroid of arc of radius R and symmetric about the X-axis with subtended angle 2 is

[ ](a) (b) (c) (d)28. The moment of inertia of a semi circular area of the radius R about its diametric axis is

[ ](a) (b) (c) (d)

19. Which of the following structures represents a redundant frame ? [ ]

(a) (b) (c) (d)20. A rectangle ABCD has sides AB = CD = 80 mm and BC = DA = 60 mm. Forces of 150 N eachact along AB and CD and forces of 100 N each at along BC and DA. The resultant moment of theforce system [ ](a) 8000N-mm (b) 9000N-mm (c) 1000 N-mm (d) 1700 N-mm21. An electric light fixture weighing 150 N hangs from a point Aby two strings AB and AC as shown in fig.The tension is string AB would be _____ [ ](a) 77 N (b) 86 N (c) 98 N (d) 109 N

22. If = 300 and T = 6 kN, determine the magnitude of the resultant forceacting on the eyebolt and its direction measured clockwise from thepositive x axis. [ ](a) 8.67N, 3.050 (b) 7.87N,8.350(c) 11N, 2.050 (d) 8.67N, 5.350

23. The direction cosines of the resultant force acting on the ring are(a) 62.3, 112, 22.3 (b) 45.7,109.23, 32.4 [ ](c) 74.8,102,19.6 (d) 87.4,139.4, 23.2324. A right circular cone of 20 cm height weighs 1000N. A cone of 8cmheight and 64 N weight is removed from the top. The distance of Center of gravity of thefrustrum from the base is [ ](a)2.5 cm (b) 3.25 cm (c) 4.25cm (d) 6 cm25. The center of gravity of a body and its center of mass coincide when __________ is uniformthroughout the body [ ](a) acceleration due to gravity (b) density(c) thickness (d) mass26. If an area has an axis of symmetry then [ ](a) its first moment about that axis is zero (b) its centroid lies on that axis(c) both a &b (d) none of the above27. The centroid of arc of radius R and symmetric about the X-axis with subtended angle 2 is

[ ](a) (b) (c) (d)28. The moment of inertia of a semi circular area of the radius R about its diametric axis is

[ ](a) (b) (c) (d)

19. Which of the following structures represents a redundant frame ? [ ]

(a) (b) (c) (d)20. A rectangle ABCD has sides AB = CD = 80 mm and BC = DA = 60 mm. Forces of 150 N eachact along AB and CD and forces of 100 N each at along BC and DA. The resultant moment of theforce system [ ](a) 8000N-mm (b) 9000N-mm (c) 1000 N-mm (d) 1700 N-mm21. An electric light fixture weighing 150 N hangs from a point Aby two strings AB and AC as shown in fig.The tension is string AB would be _____ [ ](a) 77 N (b) 86 N (c) 98 N (d) 109 N

22. If = 300 and T = 6 kN, determine the magnitude of the resultant forceacting on the eyebolt and its direction measured clockwise from thepositive x axis. [ ](a) 8.67N, 3.050 (b) 7.87N,8.350(c) 11N, 2.050 (d) 8.67N, 5.350

23. The direction cosines of the resultant force acting on the ring are(a) 62.3, 112, 22.3 (b) 45.7,109.23, 32.4 [ ](c) 74.8,102,19.6 (d) 87.4,139.4, 23.2324. A right circular cone of 20 cm height weighs 1000N. A cone of 8cmheight and 64 N weight is removed from the top. The distance of Center of gravity of thefrustrum from the base is [ ](a)2.5 cm (b) 3.25 cm (c) 4.25cm (d) 6 cm25. The center of gravity of a body and its center of mass coincide when __________ is uniformthroughout the body [ ](a) acceleration due to gravity (b) density(c) thickness (d) mass26. If an area has an axis of symmetry then [ ](a) its first moment about that axis is zero (b) its centroid lies on that axis(c) both a &b (d) none of the above27. The centroid of arc of radius R and symmetric about the X-axis with subtended angle 2 is

[ ](a) (b) (c) (d)28. The moment of inertia of a semi circular area of the radius R about its diametric axis is

[ ](a) (b) (c) (d)

29. The radius of gyration of a solid sphere of radius r with respect to diametral axis is[ ]

(a) r2/5 (b) 2r2/5 (c) r2/2 (d) 4r2/530. The moment of inertia with respect to axis perpendicular to the plane of the area is known as

[ ](a) Area moment of inertia (b) Mass moment of inertia(c) Polar moment of inertia (d) All of the above31. ______ gives a measure of resistance to the bending of the beams under the action of loads

[ ](a) modulus of rigidity (b) toughness (c) moment of inertia (d) all of these31. A material with identical properties in all directions is known as _____ [ ](a) homogenous (b) isotropic (c) elastic (d) None of these32. Hookes law is valid up to the [ ](a) elastic limit (b) yield point(c) limit of proportionality (d) ultimate point33. Toughness of a material signifies [ ](a) Strength (b) brittleness (c) deformation (d) fatigue resistance34. Percentage elongation during tensile test is indicative of [ ](a) ductility (b) malleability (c) creep (d) strength35. Two pieces of copper wire have lengths L and 2L and their diameters are 2d and d. If theseswires are stretched by the same load, the resulting extensions will confirm to the ratio

[ ](a) 1: 8 (b) 1: 4 (c) 1: 2 (d) 1:136. A steel bar (E= 200GPa) of cross sectional area 75 cm2 and length 30 cm is subjected to atensile load of 105 N. The resulting elongation in the bar due to the applied load is closer to

[ ](a) 0.01 mm (b) 0.1 mm (c) 0.2 mm (d) 1 mm37. A cylinder of rod of length l and diameter d is rigidly fixed at its upper end and hangsvertically. The elongation produced in the rod due to its self weight W is [ ](a) (b) (c) (d)38. When a bar is subjected to change of temperature and its deformation is prevented, thestress induced in the bar is [ ](a) tensile stress (b) compressive stress (c) shear stress (d) thermal stress39. A steel bar of 5 mm is heated from 150C to 400C and its free to expand. The bar will induce

[ ](a) no stress (b) tensile stress (c) compressive stress (d) shear stress40.Thermal stress is generally induced in a component when1. a temperature gradient exists in the component2. the component is free from any restraint3. the component is restrained to expand or contract freelyWhich of the statements given above are true? [ ](a) 1 and 2 (b) 2 and 3 (c) 3 alone (d) 2 alone

41. In a composite system subjected to temperature rise and with ends constrained too remaintogether, the component having lower value of coefficient of linear expansion will experience a

[ ](a) tensile stress (b) Compressive stress(c) Tensile/Compressive depends on loading (d) Zero value of stress42. A steel rod of length and diameter fixed at both ends is uniformly heated to atemperature rise of . The youngs modulus is E and the coefficient of linear expansion is .The thermal stress in the rod is [ ](a) Zero (b) (c) (d) 43. A rod of variable cross section fixed at one end is subjectedto an axial force P as shown in below. If the allowable normalstress in tension is 100 MPa, then the maximum allowable load is(a) 100 MN (b) 200 MN [ ](c) 50 MN (d) 40 MN44. A point in a two dimensional stress state is subjected to a bi-axial stress as shown below:

The shear stress acting on the plane AB is [ ](a) zero(b)(c)(d)

45. If the principal stress on a plane stress problem are 100 MPa, 40 MPa, then the magnitude ofshear stress will be [ ](a) 60 MPa (b) 50 MPa (c) 30 MPa (d) 20 MPa46. In Mohrs circle of drawn for a general case of biaxial stresses, the distance of center of circleform the y-axis [ ](a) (b) + (c) (d)47. Maximum shear stress in a mohrs circle [ ](a) is greater than the radius of mohrs circle(b) is equal to the radius of mohrs circle(c) is less than radius of mohrs circle(d) any of the above48. The bending moment at certain section of a beam___ where the shear force is zero

[ ](a) minimum (b) maximum (c) zero (d) either minimum or maximum49. The shear force at certain section of a beam where the bending moment is constant

[ ](a) Zero (b) increasing (c) decreasing (d) constant50. A simply supported beam of the span and carrying a load W concentrated at the mid spanwill have a maximum bending moment of [ ](a) /8 (b) /4 (c) /2 (d)51. A simply supported beam of span 8m is loaded as shown . The shear force at the center ofbeam is [ ]

(a) 0 (b) 1(c) 2 (d) 4 Tons

41. In a composite system subjected to temperature rise and with ends constrained too remaintogether, the component having lower value of coefficient of linear expansion will experience a

[ ](a) tensile stress (b) Compressive stress(c) Tensile/Compressive depends on loading (d) Zero value of stress42. A steel rod of length and diameter fixed at both ends is uniformly heated to atemperature rise of . The youngs modulus is E and the coefficient of linear expansion is .The thermal stress in the rod is [ ](a) Zero (b) (c) (d) 43. A rod of variable cross section fixed at one end is subjectedto an axial force P as shown in below. If the allowable normalstress in tension is 100 MPa, then the maximum allowable load is(a) 100 MN (b) 200 MN [ ](c) 50 MN (d) 40 MN44. A point in a two dimensional stress state is subjected to a bi-axial stress as shown below:

The shear stress acting on the plane AB is [ ](a) zero(b)(c)(d)

45. If the principal stress on a plane stress problem are 100 MPa, 40 MPa, then the magnitude ofshear stress will be [ ](a) 60 MPa (b) 50 MPa (c) 30 MPa (d) 20 MPa46. In Mohrs circle of drawn for a general case of biaxial stresses, the distance of center of circleform the y-axis [ ](a) (b) + (c) (d)47. Maximum shear stress in a mohrs circle [ ](a) is greater than the radius of mohrs circle(b) is equal to the radius of mohrs circle(c) is less than radius of mohrs circle(d) any of the above48. The bending moment at certain section of a beam___ where the shear force is zero

[ ](a) minimum (b) maximum (c) zero (d) either minimum or maximum49. The shear force at certain section of a beam where the bending moment is constant

[ ](a) Zero (b) increasing (c) decreasing (d) constant50. A simply supported beam of the span and carrying a load W concentrated at the mid spanwill have a maximum bending moment of [ ](a) /8 (b) /4 (c) /2 (d)51. A simply supported beam of span 8m is loaded as shown . The shear force at the center ofbeam is [ ]

(a) 0 (b) 1(c) 2 (d) 4 Tons

41. In a composite system subjected to temperature rise and with ends constrained too remaintogether, the component having lower value of coefficient of linear expansion will experience a

[ ](a) tensile stress (b) Compressive stress(c) Tensile/Compressive depends on loading (d) Zero value of stress42. A steel rod of length and diameter fixed at both ends is uniformly heated to atemperature rise of . The youngs modulus is E and the coefficient of linear expansion is .The thermal stress in the rod is [ ](a) Zero (b) (c) (d) 43. A rod of variable cross section fixed at one end is subjectedto an axial force P as shown in below. If the allowable normalstress in tension is 100 MPa, then the maximum allowable load is(a) 100 MN (b) 200 MN [ ](c) 50 MN (d) 40 MN44. A point in a two dimensional stress state is subjected to a bi-axial stress as shown below:

The shear stress acting on the plane AB is [ ](a) zero(b)(c)(d)

45. If the principal stress on a plane stress problem are 100 MPa, 40 MPa, then the magnitude ofshear stress will be [ ](a) 60 MPa (b) 50 MPa (c) 30 MPa (d) 20 MPa46. In Mohrs circle of drawn for a general case of biaxial stresses, the distance of center of circleform the y-axis [ ](a) (b) + (c) (d)47. Maximum shear stress in a mohrs circle [ ](a) is greater than the radius of mohrs circle(b) is equal to the radius of mohrs circle(c) is less than radius of mohrs circle(d) any of the above48. The bending moment at certain section of a beam___ where the shear force is zero

[ ](a) minimum (b) maximum (c) zero (d) either minimum or maximum49. The shear force at certain section of a beam where the bending moment is constant

[ ](a) Zero (b) increasing (c) decreasing (d) constant50. A simply supported beam of the span and carrying a load W concentrated at the mid spanwill have a maximum bending moment of [ ](a) /8 (b) /4 (c) /2 (d)51. A simply supported beam of span 8m is loaded as shown . The shear force at the center ofbeam is [ ]

(a) 0 (b) 1(c) 2 (d) 4 Tons

52. A simply supported beam is loaded as shown in figure. The maximum shear force in thebeam will be [ ]

(a) Zero (b) W(c) 2 W (d) 4 W

53.The point of contraflexture in a loaded beam refers to the section where [ ](a) the bending moment is maximum (b) the shear force is maximum(c) the shear force is zero (d) the bending moment changes its sign54. The position of point of contraflexture for an overhanging beam lies [ ](a) within the supports (b) in the overhanging portion(c) in between supports and overhanging (d) depends upon nature of the load55. The bending moment diagram for a cantilever subjected beam subjected to bending momentat free end is [ ](a) triangle (b) rectangle (c) parabola (d) elliptical56. The variation of shear force due to uniformly distributed load is by [ ](a) cubic law (b) parabolic law (c) linear law (d) uniform law57. Maximum bending moment in simply supported beam carrying a point load W at a distancea from one end of the span is [ ](a) ( ) (b) (c) ( ) (d) ( )58. Maximum bending moment in a cantilever carrying a point load at the free end occurs at the

[ ](a) free end (b) mid span (c) fixed end (c) point load59. The radius of the mohrs circle gives the value of [ ](a) minimum shear stress (b) maximum normal stress(c) minimum normal stress (d) maximum shear stress60. In case of biaxial stresses , the maximum value of shear stress is [ ](a) difference of normal stresses (b) half the difference of normal stresses(c) sum of normal stresses (d) half the sum of normal stresses61. The elastic constants E, G and K are related by the expression [ ](a) = (b) = (c) = (d) =62. The youngs modulus E, the shear modulus G and the Poisson ratio for material relatedby the expression [ ](a) E= 2 (1 + ) (b) E= 3 (1 ) (c) E= 3 (1 2 ) (d) E= 3 (1 + 2 )63. The Poissons ratio of a material which has Youngs modulus of 120 GPa and shear modulusof 50 GPa is [ ](a) 0.1 (b) 0.2 (c) 0.3 (d) 0.464. If the Youngs modulus E is equal to bulk modulus K, then the value of Poissons ratio is

[ ](a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4