ENCE 201Bachelor in Agriculture Engineering · Semester 31 Paper Available

Applied Dynamics

Past examination question papers and complete curriculum syllabus for Applied Dynamics (ENCE 201), Bachelor in Agriculture Engineering Semester 3 under Institute of Engineering (IOE), Tribhuvan University.

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3rd-sem_Applied Dynamics.pdf

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Most Frequently Asked Questions

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

Showing 30 of 30 top repeated questions

Kinematics of Particles

4 Questions
#1Repeated 4 Times[8 Marks]Kinematics of Particles
A particle moves along a curvilinear path described by polar coordinates $r = 2t^2 + 1$ m and $\theta = 0.5t^3$ rad. Derive expressions for the radial and transverse components of velocity and acceleration. Compute their magnitudes at $t = 2$ s.
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra2076 Chaitra
#2Repeated 4 Times[8 Marks]Kinematics of Particles
A projectile is launched from an inclined plane of slope $\beta$ with initial velocity $u$ at an angle $\alpha$ with the horizontal. Derive the range of the projectile up the plane and determine the condition for maximum range.
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra2075 Bhadra
#3Repeated 3 Times[6 Marks]Kinematics of Particles
Derive the expressions for velocity and acceleration of a particle moving in a three-dimensional cylindrical coordinate system $(r, \theta, z)$.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#4Repeated 3 Times[6 Marks]Kinematics of Particles
Define normal and tangential components of acceleration. A vehicle travels along a clothoid spiral path $\rho(s) = R_0 / (1 + ks)$. Derive the tangential and normal acceleration components as functions of arc length $s$.
Appeared in:2081 Chaitra2079 Baishakh2076 Baishakh

Kinetics of Particles: Newton Second Law

4 Questions
#1Repeated 3 Times[8 Marks]Kinetics of Particles: Newton Second Law
State Newton's Second Law of Motion in non-inertial reference frames. Formulate the equation of motion including Coriolis and centrifugal acceleration terms for a particle moving on a rotating disk.
Appeared in:2083 Baishakh2081 Bhadra2078 Chaitra
#2Repeated 3 Times[8 Marks]Kinetics of Particles: Newton Second Law
A block of mass $m_1$ rests on an inclined surface and is connected by a light inextensible cord passing over a frictionless pulley to mass $m_2$. Calculate the acceleration of the system and cord tension when coefficient of kinetic friction is $\mu_k$.
Appeared in:2082 Bhadra2080 Chaitra2077 Chaitra
#3Repeated 3 Times[8 Marks]Kinetics of Particles: Newton Second Law
Analyze the motion of a simple pendulum with a moving support undergoing horizontal harmonic excitation $x_s(t) = X_0 \sin(\omega t)$. Derive the non-linear equation of motion using D'Alembert's principle.
Appeared in:2082 Chaitra2079 Chaitra2076 Chaitra
#4Repeated 3 Times[6 Marks]Kinetics of Particles: Newton Second Law
A satellite moves in an elliptical orbit around the Earth under gravitational central force. Prove Kepler's Second Law of planetary motion using conservation of angular momentum.
Appeared in:2081 Baishakh2078 Bhadra2075 Chaitra

Kinetics of Particles: Work and Energy Methods

4 Questions
#1Repeated 3 Times[6 Marks]Kinetics of Particles: Work and Energy Methods
State and prove the Work-Energy Principle for a system of particles. Differentiate between conservative and non-conservative forces with practical engineering examples.
Appeared in:2083 Baishakh2081 Chaitra2079 Baishakh
#2Repeated 3 Times[8 Marks]Kinetics of Particles: Work and Energy Methods
A collar of mass $m$ slides along a smooth vertical parabolic rod $y = cx^2$. A spring of stiffness $k$ and undeformed length $L_0$ is attached to the collar and the origin. Determine the velocity of the collar at the vertex when released from height $h$.
Appeared in:2082 Bhadra2080 Baishakh2077 Magh
#3Repeated 3 Times[8 Marks]Kinetics of Particles: Work and Energy Methods
Explain potential energy function $V(x)$ and stability criteria for equilibrium points. For potential $V(x) = \frac{a}{x^2} - \frac{b}{x}$, find the equilibrium position and determine whether it is stable, unstable, or neutral.
Appeared in:2082 Chaitra2079 Chaitra2076 Baishakh
#4Repeated 3 Times[6 Marks]Kinetics of Particles: Work and Energy Methods
Calculate the power required to pump water through a pipe of variable cross-section against viscous head loss using energy conservation principles.
Appeared in:2081 Bhadra2078 Chaitra2075 Bhadra

Kinetics of Particles: Impulse and Momentum

4 Questions
#1Repeated 4 Times[8 Marks]Kinetics of Particles: Impulse and Momentum
State the Principle of Linear Impulse and Momentum and Angular Impulse and Momentum. Derive the equations of motion for variable mass systems (rocket propulsion equation).
Appeared in:2083 Baishakh2080 Chaitra2078 Bhadra2076 Chaitra
#2Repeated 3 Times[8 Marks]Kinetics of Particles: Impulse and Momentum
Define coefficient of restitution $e$. Derive expressions for loss of kinetic energy during direct central impact of two spheres of masses $m_1$ and $m_2$ with initial velocities $u_1$ and $u_2$.
Appeared in:2082 Bhadra2081 Baishakh2077 Chaitra
#3Repeated 3 Times[8 Marks]Kinetics of Particles: Impulse and Momentum
Analyze oblique central impact between two smooth elastic spheres. Show that when equal masses collide with one initially at rest and $e = 1$, the post-collision trajectories are mutually perpendicular.
Appeared in:2082 Chaitra2079 Baishakh2075 Chaitra
#4Repeated 3 Times[6 Marks]Kinetics of Particles: Impulse and Momentum
A jet of water of area $A$ and velocity $v$ strikes a curved stationary vane deflecting the jet through angle $\theta$. Determine the horizontal and vertical hydrodynamic forces exerted on the vane using linear momentum.
Appeared in:2081 Chaitra2078 Chaitra2076 Baishakh

Kinematics of Rigid Bodies in Plane Motion

4 Questions
#1Repeated 3 Times[6 Marks]Kinematics of Rigid Bodies in Plane Motion
Explain plane motion of a rigid body as translation plus rotation. State Chasles' theorem and define instantaneous center of zero velocity (ICZ).
Appeared in:2083 Baishakh2081 Bhadra2079 Chaitra
#2Repeated 3 Times[8 Marks]Kinematics of Rigid Bodies in Plane Motion
In a four-bar linkage mechanism ABCD, link AB rotates at constant angular speed $\omega_1$. Using the instantaneous center method, determine the angular velocities of coupler BC and rocker CD.
Appeared in:2082 Bhadra2080 Chaitra2077 Magh
#3Repeated 3 Times[8 Marks]Kinematics of Rigid Bodies in Plane Motion
Formulate the relative acceleration equation between two points on a rigid body undergoing plane motion: $\vec{a}_B = \vec{a}_A + \vec{\alpha} \times \vec{r}_{B/A} - \omega^2 \vec{r}_{B/A}$. Apply this to solve acceleration of the slider in a slider-crank mechanism.
Appeared in:2082 Chaitra2080 Baishakh2078 Bhadra
#4Repeated 3 Times[6 Marks]Kinematics of Rigid Bodies in Plane Motion
Analyze pure rolling motion of a wheel on a circular track. Derive the velocity and acceleration of the contact point and the top point of the wheel.
Appeared in:2081 Baishakh2078 Chaitra2075 Bhadra

Plane Kinetics of Rigid Bodies

5 Questions
#1Repeated 3 Times[8 Marks]Plane Kinetics of Rigid Bodies
Derive the equations of planar motion for a rigid body about its mass center: $\sum F_x = m a_{Gx}$, $\sum F_y = m a_{Gy}$, and $\sum M_G = I_G \alpha$.
Appeared in:2083 Baishakh2081 Chaitra2079 Baishakh
#2Repeated 3 Times[8 Marks]Plane Kinetics of Rigid Bodies
A uniform slender rod of mass $m$ and length $L$ is hinged at one end and released from a horizontal position. Find the angular acceleration and hinge reactions immediately after release and when the rod reaches the vertical position.
Appeared in:2082 Bhadra2080 Chaitra2077 Chaitra
#3Repeated 3 Times[8 Marks]Plane Kinetics of Rigid Bodies
A solid cylinder of mass $m$ and radius $R$ rolls without slipping down an incline of angle $\theta$. Find the acceleration of the cylinder and the minimum coefficient of static friction required to prevent slipping.
Appeared in:2082 Chaitra2079 Chaitra2076 Chaitra
#4Repeated 3 Times[8 Marks]Plane Kinetics of Rigid Bodies
Apply D'Alembert's principle to analyze dynamic unbalance in a rotating rigid shaft carrying two offset eccentric masses. Calculate the dynamic bearing reactions.
Appeared in:2081 Bhadra2078 Bhadra2075 Chaitra
#5Repeated 3 Times[8 Marks]Plane Kinetics of Rigid Bodies
Explain gyroscopic couple and precession. Derive the expression $C = I \omega \omega_p$ and determine the gyroscopic effect on a ship pitching and rolling in rough sea.
Appeared in:2083 Baishakh2080 Baishakh2077 Magh

Mechanical Vibrations of SDOF Systems

5 Questions
#1Repeated 3 Times[8 Marks]Mechanical Vibrations of SDOF Systems
Derive the equation of motion for a damped single-degree-of-freedom (SDOF) spring-mass-damper system. Define critical damping coefficient $c_c$ and damping ratio $\zeta$.
Appeared in:2083 Baishakh2081 Bhadra2078 Chaitra
#2Repeated 3 Times[8 Marks]Mechanical Vibrations of SDOF Systems
Solve the governing differential equation for underdamped free vibration ($\zeta < 1$). Derive the expression for logarithmic decrement $\delta$ in terms of damping ratio $\zeta$.
Appeared in:2082 Bhadra2080 Chaitra2077 Chaitra
#3Repeated 3 Times[8 Marks]Mechanical Vibrations of SDOF Systems
A SDOF system is subjected to harmonic base excitation $y(t) = Y \sin(\omega t)$. Derive the expression for displacement transmissibility ratio $T_r$ and force transmissibility.
Appeared in:2082 Chaitra2080 Baishakh2076 Chaitra
#4Repeated 3 Times[6 Marks]Mechanical Vibrations of SDOF Systems
Explain mechanical resonance and magnification factor $Q$. Show that peak dynamic response occurs at frequency $\omega = \omega_n \sqrt{1 - 2\zeta^2}$ for $\zeta < 1/\sqrt{2}$.
Appeared in:2081 Chaitra2079 Baishakh2075 Bhadra
#5Repeated 3 Times[6 Marks]Mechanical Vibrations of SDOF Systems
Describe Rayleigh's energy method for estimating the fundamental natural frequency of continuous or multi-mass structural systems.
Appeared in:2081 Baishakh2078 Bhadra2076 Baishakh

Curriculum Syllabus & Course Topics

Sourced from TU curriculum portal
Chapter-wise Units & Micro-Syllabus Topics (7 Units)
  1. 1. Kinematics of Particles

    6
  2. 2. Kinetics of Particles: Newton Second Law

    6
  3. 3. Kinetics of Particles: Work and Energy Methods

    7
  4. 4. Kinetics of Particles: Impulse and Momentum

    6
  5. 5. Kinematics of Rigid Bodies in Plane Motion

    7
  6. 6. Plane Kinetics of Rigid Bodies

    7
  7. 7. Mechanical Vibrations of SDOF Systems

    6

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.
  • Cross-reference key answers with official syllabus units, standard textbooks, and lecture notes.
  • Structure answers with labeled diagrams, concise bullet points, and highlight final answers in numerical solutions.

Frequently Asked Questions (Applied Dynamics)

Q: How can I download Applied Dynamics past question papers?

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

Q: What is the pass mark for Applied Dynamics?

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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