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ENCE 101Bachelor in Agriculture Engineering · Semester 21 Paper Available

Engineering Mechanics

Past examination question papers and complete curriculum syllabus for Engineering Mechanics (ENCE 101), Bachelor in Agriculture Engineering Semester 2 under Institute of Engineering (IOE), Tribhuvan University.

Past Question Papers (PDF)

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Note: This question paper file (1st sem) was archived from an IOE exam session for the common Engineering Mechanics curriculum.

1st-sem_Engineering Mechanics.pdf

IOE Past Examination Paper

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Most Frequently Asked Questions

Top recurring IOE board exam questions for Engineering Mechanics with verified mark schemes, formula notation, and recurrence frequency.

Showing 30 of 30 top repeated questions

Forces Acting on Particle and Rigid Body

4 Questions
#1Repeated 3 Times[6 Marks]Forces Acting on Particle and Rigid Body
State and explain the fundamental principles of Newtonian mechanics and the principle of transmissibility with its limitations. State the equations of static equilibrium for 2D and 3D force systems acting on rigid bodies.
Appeared in:2081 Baishakh2080 Baishakh2076 Chaitra
#2Repeated 2 Times[4 Marks]Forces Acting on Particle and Rigid Body
State and prove Varignon's Theorem of moments.
Appeared in:2076 Chaitra2075 Chaitra
#3Repeated 2 Times[6 Marks]Forces Acting on Particle and Rigid Body
State and explain the principle of transmissibility of forces and equations of static equilibrium in 2D and 3D space. What are the limitations of the principle of transmissibility?
Appeared in:2082 Shrawan2081 Bhadra
#4Repeated 2 Times[8 Marks]Forces Acting on Particle and Rigid Body
State Lami's theorem. Three smooth cylinders of weight $W = 500\text{ N}$ each and radius $r = 100\text{ mm}$ are placed in a channel of width $360\text{ mm}$. Calculate the reactions at all contact points.
Appeared in:2082 Baishakh2079 Bhadra

Friction

4 Questions
#1Repeated 4 Times[6 Marks]Friction
Define angle of friction, angle of repose, and cone of friction. Explain the conditions for sliding versus tipping (overturning) of a rectangular block resting on an inclined plane.
Appeared in:2082 Baishakh2081 Baishakh2080 Baishakh2078 Bhadra
#2Repeated 2 Times[8 Marks]Friction
A uniform ladder of length $L$ and weight $W$ leans against a vertical wall and horizontal floor with friction. Determine the minimum coefficient of friction or maximum inclination angle to prevent slipping when a person ascends the ladder.
Appeared in:2080 Baishakh2076 Chaitra
#3Repeated 2 Times[6 Marks]Friction
Define angle of friction, angle of repose, and cone of friction. Derive the relationship between coefficient of static friction $\mu_s$, angle of friction $\phi$, and angle of repose $\theta$.
Appeared in:2082 Shrawan2081 Bhadra
#4Repeated 2 Times[8 Marks]Friction
Explain the working of a wedge and screw jack. Derive the expression for the effort $P$ required to raise a load $W$ using a square-threaded screw jack having mean diameter $d$, pitch $p$, and coefficient of friction $\mu$.
Appeared in:2082 Baishakh2078 Bhadra

Analysis of Simple Beams and Frames

6 Questions
#1Repeated 5 Times[10 Marks]Analysis of Simple Beams and Frames
For a given loaded beam or frame carrying concentrated point loads, uniformly distributed loads (UDL), and applied couples, calculate support reactions and draw the Axial Force Diagram (AFD), Shear Force Diagram (SFD), and Bending Moment Diagram (BMD). Locate points of contraflexure and determine maximum bending moment.
Appeared in:2082 Baishakh2081 Baishakh2080 Baishakh2078 Bhadra2076 Chaitra
#2Repeated 2 Times[4 Marks]Analysis of Simple Beams and Frames
Derive the differential relationship between distributed load $w(x)$, shear force $V(x)$, and bending moment $M(x)$: $\frac{dV}{dx} = -w(x)$ and $\frac{dM}{dx} = V(x)$.
Appeared in:2081 Baishakh2078 Bhadra
#3Repeated 2 Times[6 Marks]Analysis of Simple Beams and Frames
Explain the analysis of flexible cables supporting concentrated and uniformly distributed loads. Derive the cable tension and profile equations for parabolic and catenary cables.
Appeared in:2081 Baishakh2076 Chaitra
#4Repeated 2 Times[8 Marks]Analysis of Simple Beams and Frames
Differentiate between statically determinate and indeterminate trusses. Explain the Method of Joints and Method of Sections with their comparative merits and demerits.
Appeared in:2082 Shrawan2081 Bhadra
#5Repeated 2 Times[8 Marks]Analysis of Simple Beams and Frames
Derive the equations of a flexible cable carrying a uniformly distributed load over its horizontal span (parabolic cable). Obtain the formula for maximum tension $T_{\max}$ and total cable length.
Appeared in:2082 Baishakh2079 Baishakh
#6Repeated 2 Times[10 Marks]Analysis of Simple Beams and Frames
Draw the Axial Force Diagram (AFD), Shear Force Diagram (SFD), and Bending Moment Diagram (BMD) for a simply supported beam with an overhang carrying a combination of point load and uniformly distributed load (UDL). Locate the point of contraflexure.
Appeared in:2081 Bhadra2082 Baishakh

Analysis of Plane Trusses

1 Question
#1Repeated 5 Times[8 Marks]Analysis of Plane Trusses
Compute the forces developed in specified members of a pin-jointed plane truss (Warren truss, Pratt truss) using the Method of Joints and the Method of Sections. Indicate whether each member is in tension or compression.
Appeared in:2082 Baishakh2081 Baishakh2080 Baishakh2078 Bhadra2076 Chaitra

Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia

4 Questions
#1Repeated 4 Times[8 Marks]Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia
Determine the centroid $(\bar{x}, \bar{y})$, moment of inertia ($I_{xx}, I_{yy}$), and radius of gyration ($r_x, r_y$) of a standard composite structural section (T-section, I-section, angle section, or parabolic shaded area) about centroidal axes.
Appeared in:2082 Baishakh2081 Baishakh2080 Baishakh2078 Bhadra
#2Repeated 3 Times[4 Marks]Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia
State and prove the Parallel Axis Theorem for area moment of inertia ($I = I_G + A d^2$).
Appeared in:2080 Baishakh2078 Bhadra2076 Chaitra
#3Repeated 2 Times[6 Marks]Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia
Derive the expression for the moment of inertia and radius of gyration of a circular area of radius $R$ about its diametral axis using double integration.
Appeared in:2081 Bhadra2078 Bhadra
#4Repeated 2 Times[6 Marks]Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia
State Pappus-Guldinus theorems for determining surface area and volume of a body of revolution. Use the theorem to find the volume and surface area of a circular torus.
Appeared in:2082 Baishakh2080 Bhadra

Kinematics of Particles (Rectilinear and Curvilinear Motion)

4 Questions
#1Repeated 3 Times[6 Marks]Kinematics of Particles (Rectilinear and Curvilinear Motion)
The acceleration of a particle moving rectilinearly is defined by the relation $a = -10 x^{-2}$ (or $a = -kv$ or $a = 3t$). If the particle starts with specified initial conditions, determine its velocity, position, and total distance traveled.
Appeared in:2081 Baishakh2080 Baishakh2078 Bhadra
#2Repeated 3 Times[8 Marks]Kinematics of Particles (Rectilinear and Curvilinear Motion)
A projectile is launched from an initial elevation with velocity $v_0$ at an angle $\theta$ to the horizontal. Derive expressions for maximum height $H_{\max}$, horizontal range $R$, and time of flight $T$, and determine its velocity and strike angle on an inclined target.
Appeared in:2080 Baishakh2078 Bhadra2076 Ashwin
#3Repeated 2 Times[8 Marks]Kinematics of Particles (Rectilinear and Curvilinear Motion)
Derive expressions for radial and transverse components of velocity and acceleration of a particle moving along a plane curved path in polar coordinates ($r, \theta$).
Appeared in:2081 Bhadra2080 Baishakh
#4Repeated 2 Times[6 Marks]Kinematics of Particles (Rectilinear and Curvilinear Motion)
Two cars A and B travel in the same direction on a straight road. Car A starts from rest with constant acceleration $a_A = 2\text{ m/s}^2$. At the same instant, car B is $100\text{ m}$ ahead traveling with constant speed $v_B = 15\text{ m/s}$. Determine the time and location when car A overtakes car B.
Appeared in:2082 Baishakh2079 Bhadra

Kinetics of Particles: Force, Acceleration, Energy and Momentum

5 Questions
#1Repeated 3 Times[8 Marks]Kinetics of Particles: Force, Acceleration, Energy and Momentum
State the Principle of Linear Impulse and Momentum. Explain direct central and oblique impact between two bodies with coefficient of restitution $e = \frac{v_2' - v_1'}{v_1 - v_2}$ and solve an impact problem.
Appeared in:2081 Baishakh2080 Baishakh2078 Bhadra
#2Repeated 2 Times[8 Marks]Kinetics of Particles: Force, Acceleration, Energy and Momentum
State and prove the Work-Energy Principle for a particle ($T_1 + U_{1-2} = T_2$). State and explain the principle of conservation of mechanical energy for a system of connected particles with springs and gravity.
Appeared in:2078 Bhadra2076 Chaitra
#3Repeated 2 Times[6 Marks]Kinetics of Particles: Force, Acceleration, Energy and Momentum
Define angular momentum of a particle. Prove that the rate of change of angular momentum of a particle about a fixed point equals the sum of moments of external forces acting on it ($\sum M_O = \dot{H}_O$).
Appeared in:2080 Baishakh2078 Bhadra
#4Repeated 2 Times[6 Marks]Kinetics of Particles: Force, Acceleration, Energy and Momentum
State and prove the principle of conservation of linear momentum and impulse-momentum equation for a system of particles. Differentiate between perfectly elastic and inelastic impact.
Appeared in:2081 Bhadra2080 Bhadra
#5Repeated 2 Times[8 Marks]Kinetics of Particles: Force, Acceleration, Energy and Momentum
A bullet of mass $m = 20\text{ g}$ moving horizontally with velocity $v = 400\text{ m/s}$ strikes and embeds into a wooden block of mass $M = 3.98\text{ kg}$ suspended by a light string of length $L = 2\text{ m}$ (ballistic pendulum). Calculate the maximum vertical height and angular displacement of the pendulum.
Appeared in:2082 Baishakh2078 Bhadra

Kinematics and Kinetics of Rigid Body in Plane Motion, Energy and Momentum Methods

2 Questions
#1Repeated 3 Times[8 Marks]Kinematics and Kinetics of Rigid Body in Plane Motion, Energy and Momentum Methods
State D'Alembert's Principle for rigid bodies. Derive equations of planar motion for a rigid body undergoing general plane motion, showing decomposition into translational motion of center of mass ($F = ma_G$) and rotational motion about center of mass ($M_G = I_G \alpha$).
Appeared in:2080 Baishakh2078 Bhadra2076 Chaitra
#2Repeated 2 Times[6 Marks]Kinematics and Kinetics of Rigid Body in Plane Motion, Energy and Momentum Methods
Define Instantaneous Center of Zero Velocity (ICZV). Explain how the velocity of any point on a plane rigid body can be determined using ICZV with a neat diagram.
Appeared in:2082 Shrawan2081 Bhadra

Curriculum Syllabus & Course Topics

Sourced from TU curriculum portal
Full Syllabus (PDF)
Chapter-wise Units & Micro-Syllabus Topics (9 Units)

  1. 1. Basic Concept of Mechanics and Static Equilibrium

    • 1.1Definitions, type and scope of mechanics
    • 1.2Fundamental concepts and principles of engineering mechanics
    • 1.3Concept of particle, rigid and deformed bodies
    • 1.4Physical meaning of equilibrium and its essence in structural application
    • 1.5Equation of equilibrium in 2D and 3D analysis of particle and rigid body
    • 1.6Concept of free body diagram with examples

  2. 2. Forces Acting on Particle and Rigid Body

    • 2.1Different types of forces: Internal/external force, adhesive/ cohesive force, point/ line/ surface force and contact/ body force
    • 2.2Resolution and composition of forces
    • 2.3Principle of transmissibility and equivalent forces
    • 2.4Varignon’s theorem and its application
    • 2.5Moments of a force about a point and about an axis
    • 2.6Definition, types and characteristics of couple
    • 2.7Resolution of a force into a force and a couple
    • 2.8Resultant of force and moment for a system: Coplanar, concurrent and general force system
    • 2.9Concept and formation of wrench (Force and couple lying on a single plane)

  3. 3. Friction

    • 3.1Definition, types and uses of friction, laws of friction, static and dynamic coefficient of friction, angle of friction
    • 3.2Sliding and overturning condition of a body
    • 3.3Concept and working principle of jackscrew

  4. 4. Analysis of Simple Beams and Frames

    • 4.1Introduction to structures
    • 4.2Various types of load on the structure
    • 4.3Various types of supports; Reactions and degree of freedom
    • 4.4Internal and external forces in the structure
    • 4.5Relationship between load, shear force and bending moment
    • 4.6Statically and geometrically stable/ unstable beams and frames
    • 4.7Statically determinate and indeterminate beams and frames, degree of static indeterminacy
    • 4.8Axial force, shear force and bending moment diagrams for determinate beams and frames

  5. 5. Analysis of Plane Trusses

    • 5.1Definition of truss, assumption of ideal truss, types and uses of truss in engineering
    • 5.2Statically and geometrically stable and unstable truss
    • 5.3Statically determinate and indeterminate truss, degree of static indeterminacy
    • 5.4Analysis of truss by the method of joint and section/ moment

  6. 6. Centre of Gravity, Centroid, Moment of Inertia, and Mass Moment of Inertia

    • 6.1Concepts of centre of gravity and centroid of line, area and volume
    • 6.2Second moment of area/moment of inertia and radius of gyration
    • 6.3Perpendicular and parallel axis theorem for moment of inertia
    • 6.4Concept of mass moment of inertia

  7. 7. Kinematics of Particles (Rectilinear and Curvilinear Motion)

    • 7.1Position, velocity and acceleration of a particle for rectilinear motion
    • 7.2Dependent and relative motion of particles
    • 7.3Position, velocity and acceleration of a particle for curvilinear motion
    • 7.4Projectile motion
    • 7.5Tangential and normal components of velocity and acceleration
    • 7.6Radial and transverse components of velocity and acceleration

  8. 8. Kinetics of Particles: Force, Acceleration, Energy and Momentum

    • 8.1Newton’s second law of motion, linear momentum and impulsive motion
    • 8.2Equation of motion and dynamic equilibrium
    • 8.3Angular momentum and rate of change of angular momentum
    • 8.4Equation of motion for rectilinear and curvilinear motion (Rectangular components, tangential and normal components and radial and transverse components) of particle
    • 8.5Work and energy principle
    • 8.6Principle of conservation of energy, concept of conservative and non- conservative system
    • 8.7Definition and types of impact

  9. 9. Kinematics and Kinetics of Rigid Body in Plane Motion, Energy and Momentum Methods

    • 9.1Translation, rotation and general plane motion
    • 9.2Absolute and relative velocity in plane motion
    • 9.3Instantaneous centre of rotation
    • 9.4Equation of motion: D’Alembert’s principle
    • 9.5Angular momentum of rigid body
    • 9.6Principle of work and energy for a rigid body
    • 9.7Kinetic energy for a rigid body

Examination Scheme & Marks Distribution

Evaluation Structure

  • Final Board Theory Exam: 60 Marks (Pass mark: 24)
  • Internal Assessment: 40 Marks (Pass mark: 16)
  • Practical / Lab Exam: 25 or 50 Marks (Continuous lab evaluation + viva, where applicable)

* This is the general current IOE 60/40 scheme; verify course-specific details in the syllabus above.

Exam Preparation Guidelines

  • Review the available past examination paper to understand question styling, typical derivation topics, and marks allocation.
  • Practice numerical problems step-by-step with clean formula derivations, clear units, and standard assumptions.
  • Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.

Frequently Asked Questions (Engineering Mechanics)

Q: How can I download Engineering Mechanics past question papers?

You can preview or download the Engineering Mechanics question papers (PDF) directly using the built-in viewer on this page with zero redirects or paywalls.

Q: What is the pass mark for Engineering Mechanics?

The general current scheme is a 60-mark final theory exam and a 40-mark internal assessment, with pass marks of 24 and 16. Verify the course-specific syllabus above.

Q: Where can I find the complete syllabus for this subject?

The available chapter-wise syllabus and topic breakdown is indexed in the Syllabus section above, with links to the curriculum PDF source.

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