Applied Mechanics And Strength Of Materials Dpmt question

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COURSE     : DPT/ DPMT

SEMESTER: 3rd semester

SUBJECT    : Applied Mechanics And Strength Of Materials

                                                                  --------

UNIT I FORCES – EQUILIBRIUM

1) When body is in motion, ________ always changes.

a. its velocity        b. its acceleration          c. its position vector           d. its momentum

2) A body is moving with uniform velocity. Its __________________

a. speed changes         b. acceleration changes

 c.direction of motion changes           d. displacement from origin changes

3) Inertia of an object is quantitative measure of its __________________

a. volume        b. density            c. mass              d. temperature

4) The dimension of force is _________________

a. MLT-2

 b. ML2T-2

 c. ML2T2

 d. ML-2T2

5) Rectangular coordinate system is also called________________

a. polar coordinate system          b. Cartesian coordinate system

c. cylindrical coordinate system             d. spherical coordinate system

6) The direction of a vector in space is specified by______________

a. one angle         b. two angle            c. three angle             d. no angle

7) The resultant of two forces of equal magnitudes is also equal to the magnitude of the forces.

The angle between the two forces is _____ deg.

a. 30        b. 60           c. 90           d. 120

8) The direction of vector product (Torque) is given by_______________

a. head to tail rule         b. right hand rule           c . left hand rule            d. triangular rule

9) Torque is defined as_____________

a. turning effect of force         b. cross product of position vector and force

c. product of force and moment arm                  d. all a, b and c are correct

10) The dimension of torque is____________

a. [ML2T-2] b. [MLT-2] c. [ML2T] d. [ML-2T-2]

 

11) SI unit of torque is___________

a. N.m         b. joule           c. both a and b are correct            d. neither a nor b is correct

12) Torque acting on a body determines________

a. acceleration b. linear acceleration c. angular acceleration d. direction of motion of

body

13) A body in equilibrium_______________

a. always at rest              b. always in uniform motion

c. may be at rest or in uniform motion               d. may be at rest or in motion

14) A live load is one that___________

a. remains constant            b. Varies continuously

c. has lived and is no more in existence              d. varies with time

15) A body will be in complete equilibrium when it is satisfying___________

a. Ist condition of equilibrium            b. 2nd condition of equilibrium

c. both Ist and 2nd condition of equilibrium             d. impossible

16) Which one is not a type of dynamic equilibrium?

a. rotational equilibrium             b. translational equilibrium

c. static equilibrium              d. both a and c are correct answer

17) Three coplanar forces acting on a body keep it in equilibrium. They should therefore be

_________

a. concurrent            b. non concurrent              c. parallel                d. non parallel

18) Which of the following pairs does not have identical dimensions?

a. torque and energy              b. momentum and impulse

c. energy and work               d. mass and moment of inertia

19) A central force is that which____________

a. can produce torque               b. cannot produce torque

c. some time can produce torque some time cannot                 d. has no relation with torque

20) It is easier to turn a steering wheel with both hands than with a single hand because________

a. accelerating force increases on the wheel              b. two forces act on the wheel

c. two hands provide firm grip                d. couple acts on the wheel

21) Two forces of 6 and 8 kg act at right angles to each other, the resultant force will

be_________

a. 10         b. 28            c. 41              d. 14

22) The forces which meet at one point but their lines of action do not lie in one plane, are

called___________

a. coplanar concurrent forces                b. coplanar noncurrent forces

c. non-coplanar concurrent forces                d. intersecting forces

23) A number of forces acting at a point will be in equilibrium if_______

a. sum of the forces is zero

b. algebraic sum of the forces is zero

c. sum of the resolved parts in any two perpendicular directions are both zero

d. none of the above

24) A spherical ball is resting on a flat surface is said to be in _________ equilibrium.

a) Stable                b) Harmonic               c) Neutral                  d) Unstable

Fill in the blanks- (Answer in bracket)

25) ______ is something which changes or tend to change the state of rest or of uniform motion

of a body in a straight line.Centre of Gravity

26) Which of the following laminas do not have centroid at its geometrical centre?

a. Circle              b. Equilateral triangle           c. Right angled triangle              d. None of the above

27) If a material has no uniform density throughout the body, then the position of centroid and

center of mass are ________

a. identical         b. not identical          c . independent upon the density           d. unpredictable

28) What is the centroidal distance along the line of symmetry XO for the quarter circle shown

below? (where D= 4r/3Ï€)

a. (1/D) b. D c. 2 (D) d. 2 (D2)

29) What is the angle made by side of a square lamina, if it is freely suspended from a corner with

the horizontal?

a. 0o

b. 45o

c. 90o

d. 180o

30) What is the C.G of an isosceles triangle of base 20 cm and side 40?

a. 12.90 cm         b. 13.28 cm            c. 19.36 cm             d. 38.72 cm

31) What is the centroidal distance of an equilateral triangle of side 2 m?

a. 0.866 m        b. 0.769 m              c. 1.000 m              d. 0.577 m

32) Which method is used to determine centroid of a composite figure?

a. Analytical method          b. Graphical method               c. Both a. and b.              d. None of the above

Moment of Inertia

33) The Moment of Inertia of a circular section of diameter (d/2) is given by ______

 a. d4 p/32                  b. d4 p/64                c.d 4 p/512           d. d 4 /1024

34) What is the moment of inertia acting on a rectangle of width 15 mm and depth 40 mm about

base by using theorem of parallel axes?

a. 320 x 103 mm4

b. 300 x 103 mm4           c. 240 x 103 mm4                  d. 80 x 103 mm4

35) What is the moment of inertia acting on a circle of diameter 50 mm?

a. 122.71 x 103 mm4               b. 306.79 x 103 mm4

c. 567.23 x 103 mm4

d. 800 x 103 mm4

36) Which of the following relations is used to represent theorem of perpendicular axes? (H =

Vertical axis, I = Moment of inertia and K = Radius of gyration)

a. IPQ = Ixx + AH2

b. IPQ = Ixx + Ak2

c. Izz = Ixx + Iyy d. Izz + Ixx + Iyy = 0

37) What is the moment of inertia acting on a semicircle of radius 20 mm about the asymmetrical

axes?

a. 125.663 x 103 mm4

b. 17600 mm4

c. 1500 mm4

d. 8800 mm4

38) The moment of inertia of an area is always least with respect to __________

a. Bottom most axis           b. Radius of gyration           c. Central axis                d. Vertical axis

UNIT II FRICTION

39) The force of friction acts in a direction _____ to the direction of motion of object.

a.Same         b. Opposite               c. Perpendicular                d. Downwards

 40) The force of friction depends upon______________

a. Nature of surface of contact                b. Material of objects in contact

c. Both ‘a’ and ‘b’                 d. None of the above

41) The body will move only when___________

a. Force of friction = applied force                b. Force of friction < applied force

c. Force of friction > applied force                  d . All of the above

42) The ratio of the limiting force of friction (F) to the normal reaction (R) is known as_________

a. Coefficient of friction               b. Force of friction                  c. Angle of friction d. None of the above

43) The coefficient of friction (µ) is equal to ____

a. TanΦ          b. SinΦ            c. CotΦ                 d. CosΦ

Where Φ = angle of friction

44) The force of friction (F) is equal to_________

a.µR/2            b. µR               c. 2µR              d. µR/3

45) The value of Normal reaction (R) for the following figure is

If W = Weight of block, P = Applied force, µ = Coefficient of friction, θ = Angle__________

a. W – PSinθ           b. W + PSinθ                 c. P – WSinθ                   d. P + WSinθ

46) When the two surfaces in contact have a thick layer of lubricant in between them, it is known

as_________

a. Solid friction             b.Rolling friction               c. Greasy friction            d. Film friction

47) When two surfaces in contact have a very thin layer of lubricant in between them, it is known

as__________

a. Solid friction                 b.Rolling friction           c. Greasy friction           d. Film friction

48) The force of friction is maximum when the surface_________

a. Is on the point of motion                b. Is at rest              c.Is moving          d. The friction remains same at all points

49) A man wishes to move a block of size 3 m x 3 m weighing 80 kg. The coefficient of friction

between the block and the ground is 0.27. Which of the following methods should be used?

a. Slide along the ground by pushing            b. Pull it             c. Lift it bodily               d. Tip it over

SIMPLE LIFTING MACHINE

50) The types of threads used in Screw jacks are__________

a. Metric thread             b. Square             c. ACME                    d. Buttress

51) For a single started thread, the lead is equal to ____ Where p = pitch

a. p/2           b. p               c. 2p               d. p/3

52) The slope of the thread with horizontal is known as____________

a. helix           b. lead              c. pitch                d. helix angle

53) In rotation of shaft, the power lost in friction is given by____________

If W=Weight of shaft, µ=Coefficient of friction, V= Velocity of shaft (in m/s)

a.W x µ x V Watts               b. W x µ x V Kilo-watts               c. W x µ / V Watts               d. W x µ / V Kilowatts

54) If the mechanical advantage of a simple machine is 4, then the____________

a.output force is 4 times the effort

b.effort is 4 times the output force

c.efficiency is 4%

d.the work output is 4 times the input

55) A pulley system has 3 sections of ropes that lift the load. The mechanical advantage of the

system is_________

a. 0         b. 1           c. 2                  d. 3.

56) The efficiency of a simple machine_________

a. is always less than 100%                 b. is equal to 100%

c. is always 50%                      d. is always more than 100%

57) In actual machines____________

a. Mechanical advantage is equal to velocity ratio

b. Mechanical advantage is greater than velocity ratio

c. Mechanical advantage is less than velocity ratio

d. Mechanical advantage is unity

58) Which is not a type of simple machine?

a. spring           b. screw                 c. pulley                   d. wedge

59) Work is_____________

a. energy from the sun              b. a force that moves an object

c. a type of machine                   d. a force that pulls you towards the Earth

60) In a lifting machine, an effort of 500 N is to be moved by a distance of 20 m to raise a load of

10,000 N by a distance of 0.8 m. Determine the velocity ratio and mechanical advantage.

a. 10 and 35               b. 20 and 35                 c. 10 and 25                   d. 25 and 20

61) In a lifting machine, an effort of 500 N is to be moved by a distance of 20 m to raise a load of

10,000 N by a distance of 0.8 m. Determine the effort lost in friction___________

a. 100 N                b. 10 N                   c. 278 N                    d.136 N

62) Velocity ratio of simple wheel and axle is (Where D=Wheel dia., d=axle dia., drw= wheel rope

dia, dra= axle rope dia.)_____________

a. d+drw/ D+dra                 b. D+drw / d+dra                    c. D+dra/ d+drw                    d. None of them

63) Velocity ratio of third system of pulley is (Where n = no. of pulley incl. fixed

pulley)__________

a. 2n-1             b. 2n

c. n              d. None of them

64) Velocity ratio of first system of pulley is (Where n = no. of moveable pulley)___________

a. 2n-1                   b. 2n

c. n                        d. None of them

UNIT III SIMPLE STRESS & STRAIN

65) Strain is___________

a.The change in metals

b.The change in shape and direction in metal

c.The result of load application on a body

d.The change of form produced in a piece by the action of load

 66) A dead load is___________

a. One that does not exist b. One that is dead

c. One that does not move d. One that remains constant..

67) Tensile stress is____________

a.Stress due to any force

b.Stress due to change in length under a load

c.Stress measured by the ratio of the increase or decrease in length of the unloaded piece

d.Stress measured by the ratio of the change in length of the unloaded piece under tensile

force

68) Poisson's ratio for cast iron is_____________

a. 0.27          b. 0.31               c. 0.33                     d. 0.36

69) A material which recovers fully after unloading but not instantaneously is known

as____________

a. Plastic           b. Elastic                c. Partially elastic                    d. Anelastic

70) The numerical values of Young's modulus of elasticity in descending order for wood, lead,

glass, steel is given by______________

a. Steel, Glass, Lead and Wood                 b. Steel, Wood, Glass, Lead

c. Steel, Wood, Lead, Glass                     d. Steel, Lead, Wood, Glass

71) The materials which exhibit the same elastic properties in all directions are called____________

a. Homogeneous           b. Isotropic               c. Isentropic                   d. Inelastic

72) The ratio of Bulk modulus to shear modulus for Poisson's ratio of 0.25 will be____________

a. 3 / 2                b. 5/6                   c. 1                   d. 5/3

73) The stress strain curve for a glass rod during tensile test would exhibit_______________

a. A straight line                 b. A parabola                c. A sudden break                    d. An irregular curve

74) Clad metals are_______________

a. Non-ferrous materials

b. Two or more dissimilar materials riveted together

c. Two or more dissimilar materials joined together by welding

d. Two or more dissimilar materials jointed together under very high hydraulic pressure

 

75) When a strip made of iron and copper is heated___________________

a. It bends               b. It gets twisted

c. Iron bends on convex side                      d. Iron bends o n concave side

76) When the deformation arising from change of temperature is presented, the stresses set up

are known as________________

a. Compressive stresses               b. Thermal stresses

c. Shear stresses                       d. Tensile stresses

77) The potential energy stored up in a deformed body is known as________________

a. Strain energy            b. Potential energy

c. Resilience                 d. Deformation energy

78) Two rods A and B are subjected to equal load P. Rod A is tapering with bigger diameter D at

the support and small end diameter as D/2. Rod B is of uniform cross section with diameter D.

The ratio of elongation of rod A to that of B would be________________

a. 4             b. 2                 c. 1                 d. 6

79) The modulus of rigidity is defined as_____________________

a.The ratio of true stress to true strain

b.The ratio of shear stress to shear strain

c.The ratio of longitudinal stress to longitudinal strain

d.The ratio of twisting moment to cross-sectional area

80) Rupture stress is__________________

a.Proof stress

b.Breaking stress

c.Highest value of stress

d.Stress given by dividing the load at the moment of incipient fracture, by the area supporting

that load

81) The approximate value of allowable stress for carbon steel under static loading (in kg/cm2)

is____________

a. 500 – 1000              b. 4000 – 7500                c. 10,000 - 15,000                    d.15,000 - 20,000

82) Strain is the ratio of ____________________________.

a. Change in length x original length             b. Original length / change in length

c. Change in length / original length                 d. Original length x change in length

83) The ratio of stress and strain is known as _____

a. Modulus of elasticity b. Young's modulus c. Both a and b d. None of the above

84) Two parallel, equal and opposite forces acting tangentially to the surface of the body is called

as __

a. Complementary stress               b. Compressive stress                    c. Shear stress               d. Tensile stress

85) A rigid body has Poisson's ratio equal to _____

a. 0                    b. 1            c. less than 1                  d. greater than one

86) The thermal stress induced in a steel rod is compressive, if temperature _____

a. decreases           b. increases            c. remains constant            d. none of the above

87) The deformation of a material caused due temperature variation develops ___

a. stress          b. strain                c. both a. and b.                d. none of the above

UNIT IV SHEAR FORCE & BENDING MOMENT

88) For a beam of uniform strength if its depth is maintained constant, then its width will vary in

proportion to_______________

a. Bending Moment, BM                 b. (BM)2

c. 2(BM)                    d. (BM)3

89) A beam of uniform strength is one in which_____________

a. The cross-section is same throughout

b. The bending moment is same at every section

c. The stiffness is same at every section

d. The bending stress is same at every section

90) The bending moment diagram for a cantilever beam subjected to bending moment at the

end of the beam would be_____________

a. Rectangle             b. Triangle              c. Parabola                       d. Cubic parabola

91) If shear force is zero along a section, the bending moment at that section will

be__________________

a. Zero                      b. Minimum                c. Maximum                     d. Minimum or Maximum

92) A continuous beam is_________________

a. One which is constrained at both ends

b. One resting upon several supports

c. One which is part of a system consisting of a number of beams

d. One which is very long as compared to width of beam

93) A beam simply supported at ends is subjected to load. The point of contra flexure is located where

a. Shear force is zero               b. Shear force is maximum

c. Bending moment is zero                  d. Axial thrust is zero

94) In the simple bending theory one of the assumptions usually made is that the plane sections before bending remain plane after bending. This assumption implies that_______________

a. Stress is uniform in the beam cross-section

b. Stress is uniform in the beam cross section

c. Stress is proportional to the distance from the neutral axis

d. Strain is proportional to the distance from the neutral axis

95) Which of the following statements is/are true for a simply supported beam?

a.Deflection at supports in a simply supported beam is maximum

b. Deflection is maximum at a point where slope is zero

c. Slope is minimum at supports in a simply supported beam

d. All of the above

96) A cantilever beam rectangular in cross-section is subjected to a load W at its free end. If the depth of the beam is doubled and the load is halved, the deflection of the free end as compared to original deflection will be______________

a. One-sixteenth              b. One eigth                   c. Half                        d. Double

97) A cantilever beam of square section is subjected to a load W at the free end. If the length of the beam is doubled and load reduced to half, the deflection at the free end as compared to original deflection would be_____________

a. 2 times               b. 4 times                 c. 8 times                     d. 16 times

98) The phenomenon under which the strain of a material varies under constant stress is known as___________

a. Creep             b. Strain hardening                c . Buchinger's effect               d. Hysteresis

99) The neutral axis of a simply supported beam is_____________

a.Where fibres are subjected to maximum bending stress

b.When fibres are subjected to minimum bending stress

c.Where fibres are subjected to maximum compression

d.Where fibres do not undergo strain

100) Two beams carrying uniformly distributed load have same depth but beams A has width 2nd as compared to width w for beam B. The ratio of elastic strength of beam A compared to that of B will be______________

 a. 1                b. 2                   c. 4               d. 8

101) Two beams carrying identical loads simply supported are having same width but beam A has double the depth as compared to that of beam B. The ratio of elastic strength of beam A compared to that of B will be_______________

a. 2                b. 4                     c. 8                    d. 16

102) The stress at neutral axis is______________

 a. zero                 b. maximum tensile               c. minimum compressive                 d. minimum tensile

103) The neutral axis of beam_____________

a. is subjected to maximum stress

b. is subjected to maximum shear force

c. has tensile stress on one side and compressive stress on the other

d. is in the same plane in which the beam bends

 

104) The limit within which Hooke's law holds good is known as__________

 a. Elastic limit              b. Plastic limit                c. Yield point                   d. Eulers limit

105) If there is an uniform distribution of load between two points then the bending moment

changes _________________.

a. Parabolic            b. Straight Line              c. Hyperbolic                 d. None of these

106) According to Hook’s law, the stress-strain graph below elastic limit is _________.

a. Parabolic                 b. Straight Line             c. Hyperbolic                 d. None of these

 

107) If the bending moment between two points ‘AB’ of a cantilever beam is a sloped straight line,

because of ____________.

a. The cantilever carries uniformly distributed load between AB.

b. The cantilever carries uniformly varied load between AB.

c. The cantilever carries point load between AB.

d. There is no load at point A and point B.

 108) The Young’s modulus (E) of the steel is 200 GPa, express the value of E in terms of N/m2

____________

a. 2 x 1011                 b. 2 x 103

c. 2 x 109                      d. none of these

109) Shear stress is also called as__________________________.

a. Volumetric stress               b. Normal Stress                  c. Direct stress               d. Tangential stress

110) The design of a beam is based on strength criteria, if the beam is sufficiently strong to resist

_______

a. shear force       b. deflection            c. both a. and b.                   d. none of the above

111) The assumptions generally made in the theory of pure bending is____________

a. The value of the Young's modulus is the same for the beam material in tension as well  as= in compression

b. The elastic limit is well exceeded

c. The material of the beam is non-homogeneous

d. The transverse section of the beam suffers permanent distortion

112) Uniformly distributed load of 5 kN acts on a simply supported beam of length 10 m. What are

the reactions at end points of the beam?

 a. 12.5 kN            b. 25 kN             c. 50 kN                   d. None of the above

113) Two beams carrying uniformly distributed load have same depth but beams A has width 2nd

as compared to width w for beam B. The ratio of elastic strength of beam A compared to that

of B will be_________________

a. 1          b. 2                c. 4                     d. 1/2

114) Which of the following is a differential equation for deflection?

a. dy / dx = (M/EI)          b. dy / dx = (MI/E)         c. d2y / dx2= (M/EI)            d. d2y / dx2= (ME/I)

115) The vertical distance between the axis of the beam before and after loading at a point is

called as ______________

a. deformation        b. deflection         c. slope              d. none of the above

116) The beam having one end free and one end fixed is called as _______

a. Cantilever beam       b. Continuous beam         c. Overhang beam       d. Simply supported beam

117) In cantilever beam, slope and deflection at free end is _____

a. zero        b. maximum           c. minimum           d. none of the above

118) Which of the following is an elastic curve equation for shear force?

(EI = flexural rigidity)

a. S = EI (dy/dx)         b. S = EI (d2y /dx2)           c. S = EI (d3y / dx3)                 d. S = EI (d4y/ dx4)

119) Deflection of a simply supported beam when subjected to central point load is given as

________

a.(Wl /16 EI)       b. (Wl2/16 EI)          c. (Wl3/48 EI)            d. (5Wl4/ 384EI)

 


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