## Introduction to Mechanics

Semester 1

This is a pre-calculus course covering fundamental topics in Mechanics.

Syllabus:

Mechanics (18 Lectures):

• Physical Quantities and Units
• Physical quantities and their units with mass, length, time and temperature as fundamental (base) quantities.
• The nature of the physical quantities:
• Scalars and vectors, components of a vector, addition and subtraction of vectors by means of components.
• Kinematics in One Dimension:
• Definitions in displacement, speed (average and instantaneous), velocity (average and instantaneous), acceleration (average and instantaneous).
• Displacement-time and velocity-time graphs.
• Graphical interpretation of velocity and acceleration.
• Distance travelled as area under the velocity-time graph.
• Derivation of kinematic equations for constant acceleration and their application to solving problems.
• Projectile Motion:
• Introduction to projectile motion as a combination of two one-dimensional motions.
• Derivative of range, maximum height and time of flight.
• Derivation of the equation for a parabolic path.
• Application of the equations for projectile motion.
• Forces & Newton's Laws of Motions;
• Concepts of force, mass and inertia.
• Statement of Newton's Laws. Vector nature of Newton's Second Law of Motion (Σ Fx = max , ΣFy =may ).
• Types of Forces:
• Static and kinetic frictional forces.
• Tension.
• Gravitational forces.
• Newton's laws of gravitation.
• Moment of a force.
• Equilibrium and conditions for equilibrium.
• Forces on an object immersed in a fluid.
• Pressure and upthrust.
• Archimedes' principle and its derivation using a cubical object.
• Simple battery hydrometer.
• Viscosity.
• Statement of Stokes' law and the concept of terminal velocity.
• Dynamics of Uniform Circular Motion:
• Introduction to the concept of centripetal acceleration and force.
• Centripetal force and motion around a curve.
• Satellites in circular orbits.
• Work and Energy:
• Concepts of work and power.
• Kinetic and potential energies.
• Work-Energy Theorem.
• Definition of conservation of force.
• The principle of conservation of mechanical energy.
• Concepts of energy conversion and applications with special references to renewable energy sources such as solar, wind, geothermal and wave.
• Impulse and Momentum:
• Definition of impulse and linear momentum.
• Impulse-Momentum theorem.
• The principle of conservation of linear momentum including the derivation using the impulse-momentum theorem.
• Application to collisions.
Evaluation:

One 2-hour theory examination paper                                                60%

Two 1-hour in-course tests (15% each)                                               30%

Laboratory work (average of 6 labs at 10% each)                              10%

Learning Objectives:

After completing this course, students should be able to:

• Describe the basic units on measurements for mass, length, time, temperature, and distinguish between scalar and vector quantities.
• Perform calculations to determine distance, velocity and acceleration in one dimension.
• Derive and apply the equations for an object travelling along a parabolic path.
• State Newton’s Laws of motion and apply them to motion in one –dimension.
• Describe the types of forces and perform one dimensional mathematical analyses of their occurrences.
• Describe the dynamics of circular motion
• Define the conservation of forces and explain the concepts of energy conversion
• Describe the principle of conservation of linear momentum and its application to collisions.
• Perform and interpret the results of simple experiments and demonstrations of physical principles.
CXC/CSEC Physics or GCE "O"-Level Physics

Required Textbook:

Cutnell, and Johnson; “Physics ”; 8th Edition, 2009. ISBN 978-0-470-22355-0

Internet Sources:

1. An online suite of resources:   www.wiley.com/college/wileyplus
2. Self-assessment: www.wiley.com/college/cutnell
3. Online lectures:  http://academicearth.org/courses/fundamentals-of-physics
4. Online tutorials:  http://www.dmoz.org/Science/Physics/Education/Tutorials/
Course Code:
PHYS0411
Credits:
3 Credits
Level:
Preliminary
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