# Engineering Mechanics MCQ Mechanical Engineering

50 Questions 30 Mins

### About Engineering Mechanics

Engineering Mechanics is the study of the principles of mechanics and their application to engineering problems. It is concerned with the behavior of objects under various types of loading, and the effects of these loads on the objects.

#### What are the different branches of Engineering Mechanics?

The different branches of Engineering Mechanics are:

• Statics: The branch of Engineering Mechanics that deals with the analysis of objects in static equilibrium.
• Dynamics: The branch of Engineering Mechanics that deals with the analysis of objects in dynamic equilibrium.
• Strength of Materials: The branch of Engineering Mechanics that deals with the strength and stiffness of materials.
• Fluid Mechanics: The branch of Engineering Mechanics that deals with the behavior of fluids.
• Thermodynamics: The branch of Engineering Mechanics that deals with the relationship between heat and work.

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Engineering Mechanics MCQ: A Comprehensive Guide provides the perfect platform for candidates preparing for Engineering Mechanics exams. It covers all the important topics and concepts related to Engineering Mechanics in a concise and easy-to-read manner.

Following are some of the multiple choice questions on the Engineering Mechanics with answers that will help the students in developing their knowledge.

## Engineering Mechanics MCQ

### 1. The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is

• a = α/ r
• a = α.r
• a = r / α
• None of these

### 2. Coefficient of friction depends upon

• Area of contact only
• Nature of surface only
• Both (A) and (B)
• None of these

### 3. According to law of triangle of forces

• Three forces acting at a point will be in equilibrium
• Three forces acting at a point can be represented by a triangle, each side being proportional to force
• If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium
• If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

### 4. An ideal machine is one whose efficiency is

• Between 60 and 70 %
• Between 70 and 80%
• Between 80 and 90%
• 100%

### 5. Which of the following is not the unit of power?

• kW (kilowatt)
• hp (horse power)
• kcal/sec
• kcal/kg sec

• 1 + m
• 1 - m
• 1 / m
• m

• 2n - 1
• n
• 2n

• ω/r
• ω.r
• ω²/r
• ω².r

• 30°
• 60°
• 90°
• 120°

### 10. If a number of forces are acting at a point, their resultant is given by

• (∑V)2 + (∑H)2
• √[(∑V)2 + (∑H)2]
• (∑V)2 +(∑H)2 +2(∑V)(∑H)
• √[(∑V)2 +(∑H)2 +2(∑V)(∑H)]

• db³/12
• bd³/12
• db³/36
• bd³/36

• 2.√(gh)
• √(gh)
• √(2gh)
• 2g.√h

• D/(d₁ + d₂)
• D/(d₁ - d₂)
• 2D/(d₁ + d₂)
• 2D/(d₁ - d₂)

### 14. According to Lami’s theorem

• The three forces must be equal
• The three forces must be at 120° to each other
• The three forces must be in equilibrium
• 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

• 0° and 180°
• 180° and 0°
• 90° and 180°
• 90° and 0°

### 16. According to principle of transmissibility of forces, the effect of a force upon a body is

• maximum when it acts at the center of gravity of a body
• different at different points in its line of action
• the same at every point in its line of action
• minimum when it acts at the G. of the body

• πd3/16
• πd3/32
• πd4/32
• πd4/64

### 18. 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.

• Equal to
• Less than
• Greater than
• None of these

### 19. A circular hole of 50 mm diameter is cut out from a circular disc of 100 mm diameter as shown in the below figure. The center of gravity of the section will lie

• In the shaded area
• In the hole
• At ‘O’
• None of these

• h/2
• J/3
• h/6
• h/4

### 21. The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

• h/(kG² + h²)
• (kG² + h²)/h
• h²/(kG² + h²)
• (kG² + h²)/h²

• Circular arc
• Parabola
• Hyperbola
• Elliptical

### 23. Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are

• 15 N and 5 N
• 20 N and 5 N
• 15 N and 15 N
• none of these

• Agree
• Disagree

### 25. Work done is said to be zero, when

• some force acts on a body, but displacement is zero
• no force acts on a body but some displacement takes place
• either (a) or (b)
• none of the above

• Agree
• Disagree

### 27. When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as

• simple pendulum
• compound pendulum
• torsional pendulum
• second's pendulum

• True
• False

• (2/3) Ml²
• (1/3) Ml²
• (3/4) Ml²
• (1/12) Ml²

### 30. A redundant frame is also called __________ frame.

• perfect
• imperfect
• deficient
• none of the above

• True
• False

• True
• False

• 3a/2
• 23a
• a/23
• 32a

• Correct
• Incorrect

### 35. The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as

• static friction
• dynamic friction
• limiting friction
• coefficient of friction

### 36. The bodies which rebound after impact are called

• inelastic bodies
• elastic bodies
• neither elastic nor inelastic bodies
• none of these

### 37. Static friction is always __________ dynamic friction.

• equal to
• less than
• greater than
• None of these

• Correct
• Incorrect

### 39. The frequency of oscillation of a torsional pendulum is

• 2πk/r. √(g/l)
• r/2πk. √(l/g)
• 2πr/k. √(g/l)
• r/2πk. √(g/l)

• 30°
• 45°
• 60°
• 90°

• Yes
• No

### 42. If a number of forces are acting at a point, theirresultant will be inclined at an angle θ with the horizontal, such that

• tan θ = ∑H/∑V
• tan θ = ∑V/∑H
• tan θ = ∑Vx∑H
• None of these

• bh3/4
• bh3/8
• bh3/12
• bh3/36

• N-m
• m/s
• m/s2

### 45. The time of flight (t) of a projectile on an upward inclined plane is(where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

• t = g cos β/2u sin (α - β)
• t = 2u sin (α - β)/g cos β
• t = g cos β/2u sin (α + β)
• t = 2u sin (α + β)/g cos β

• Yes
• No

### 47. A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by(where μ = tanφ = Coefficient of friction between the plane and the body.)

• P = W tanα
• P = W tan(α + φ)
• P = W (sinα + μcosα)
• P = W (cosα + μsinα)

### 48. The range of projectile on a downward inclined plane is __________ the range on upward inclined plane for the same velocity of projection and angle of projection.

• less than
• more than
• equal to
• None of these

### 49. The angle of inclination of a vehicle when moving along a circular path __________ upon its mass.

• depends
• does not depend

• sin θ
• cos θ
• tan θ
• cosec θ