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300 Important Engineering Mechanics MCQ Question and Answer | PDF Free Download

Engineering Mechanics MCQ Question and Answer PDF Free Download

1.The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is

  • ASame
  • BDouble
  • CHalf
  • DFour times
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Correct Answer : (B)

Double

Explanation:

2.Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to

  • AArea of the triangle
  • BTwice the area of the triangle
  • CHalf the area of the triangle
  • DNone of these
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Correct Answer : (B)

Twice the area of the triangle

Explanation:

3.The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as

  • APrinciple of independence of forces
  • BPrinciple of resolution of forces
  • CPrinciple of transmissibility of forces
  • DNone of these
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Correct Answer : (B)

Principle of resolution of forces

Explanation:

4.If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is _________ the momentum of body having mass m2.

  • AEqual to
  • BLess than
  • CGreater than
  • DNone of these
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Correct Answer : (C)

Greater than

Explanation:

5.According to principle of moments

  • AIf a system of coplanar forces is in equilibrium, then their algebraic sum is zero
  • BIf a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero
  • CThe algebraic sum of the moments of any two forces about any point is equal to moment of the resultant about the same point
  • DPositive and negative couples can be balanced
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Correct Answer : (B)

If a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero

Explanation:

According to principle of moments If a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero.

6.According to Lami’s theorem

  • AThe three forces must be equal
  • BThe three forces must be at 120° to each other
  • CThe three forces must be in equilibrium
  • DIf the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two
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Correct Answer : (D)

If the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two

Explanation:

According to Lami's theorem If the three forces acting at a point are in equilibrium, then each force is proportional to the sine of the angle between the other two.

7.Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point

  • ASame as
  • BTwice
  • CThrice
  • DFour times
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Correct Answer : (D)

Four times

Explanation:

8.A force while acting on a body may

  • AChange its motion
  • BBalance the forces, already acting on it
  • CGive rise to the internal stresses in it
  • DAll of these
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Correct Answer : (D)

All of these

Explanation:

9.The product of either force of couple with the arm of the couple is called

  • AResultant couple
  • BMoment of the forces
  • CResulting couple
  • DMoment of the couple
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Correct Answer : (D)

Moment of the couple

Explanation:

The product of either force of couple with the arm of the couple is called Moment of the couple.

10.The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

  • A9 cm4
  • B12 cm4
  • C16 cm4
  • D20 cm4
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Correct Answer : (C)

16 cm4

Explanation:

11.A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act

  • ATowards the wall at its upper end
  • BAway from the wall at its upper end
  • CDownward at its upper end
  • DUpward at its upper end
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Correct Answer : (D)

Upward at its upper end

Explanation:

12.A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act

  • ADownward at its upper end
  • BUpward at its upper end
  • CZero at its upper end
  • DPerpendicular to the wall at its upper end
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Correct Answer : (C)

Zero at its upper end

Explanation:

13.A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is

  • AReversible
  • BNon-reversible
  • CIdeal
  • DNone of these
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Correct Answer : (A)

Reversible

Explanation:

14.In the equation of virtual work, following force is neglected

  • AReaction of any smooth surface with which the body is in contact
  • BReaction of a rough surface of a body which rolls on it without slipping
  • CReaction at a point or an axis, fixed in space, around which a body is constrained to turn
  • DAll of the above
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Correct Answer : (D)

All of the above

Explanation:

15.A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if

  • AThe floor is smooth, the wall is rough
  • BThe floor is rough, the wall is smooth
  • CThe floor and wall both are smooth surfaces
  • DThe floor and wall both are rough surfaces
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Correct Answer : (C)

The floor and wall both are smooth surfaces

Explanation:

16.An ideal machine is one whose efficiency is

  • ABetween 60 and 70 %
  • BBetween 70 and 80%
  • CBetween 80 and 90%
  • D100%
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Correct Answer : (D)

100%

Explanation:

An ideal machine is one whose efficiency is 100%

17.The velocity of a body on reaching the ground from a height h, is

  • A2.√(gh)
  • B√(gh)
  • C√(2gh)
  • D2g.√h
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Correct Answer : (C)

√(2gh)

Explanation:

18.The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

  • Aβ/2
  • B30° + β/2
  • C45° + β/2
  • D60° + β/2
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Correct Answer : (C)

45° + β/2

Explanation:

19.The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is

  • A2mr²/3
  • B2mr²/5
  • C7mr²/3
  • D7mr²/5
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Correct Answer : (D)

7mr²/5

Explanation:

20.One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)

  • A2π. √(g/δ)
  • B1/2π. √(g/δ)
  • C2π. √(δ/g)
  • D1/2π. √(δ/g)
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Correct Answer : (B)

1/2π. √(g/δ)

Explanation: