Courses Catalogue

Classical Mechanics

COURSE CODE: MAT1203
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Education (Mathematics) - B.Ed
COLLEGE/SCHOOL/FACULTY: College of Education, Open and Distance Learning
STATUS: Elective
PROGRAMME TYPE: Undergraduate

Course Content and Outline

COURSE CONTENT

  • Vectors and scalars; the algebra of vectors (addition, dot and cross products); components of vectors; base vectors in rectangular and plane polar coordinates; position and displacement vectors.
  • Particle kinematics and dynamics. Motion in one, two, and three dimensions. Velocity and acceleration; motion with constant acceleration, projectile motion; velocity and acceleration in plane polar coordinates; uniform circular motion; solution of kinematical equations; relative motion.
  • Force and Newton's Laws, Particle Dynamics. Force and mass; Newton's laws; frictional force; dynamics of uniform circular motion; solution of equations of motion (constant and non-constant forces); drag forces and the motion of projectiles.
  • Work and energy, conservation of energy. Work done by a variable force in one- and two-dimensional spaces; kinetic energy; work-energy theorem; power; conservative forces; potential energy and force; conservation of mechanical energy.
  • Systems of particles. Momentum; center of mass;.
  • Conservation of linear momentum; variable mass problem; impulse; collisions in one and two dimensions; elastic and inelastic collisions; center of mass frame. Rotational dynamics.
  • Rotational kinematics; angular velocity and acceleration; rotation with constant angular acceleration; kinetic energy of rotating rigid bodies; moment of inertia; torque; combined rotational and translational motion; angular momentum; conservation of angular momentum; gyroscope; equilibrium of rigid bodies.

MODE OF DELIVERY

·         Lecture and discussion

·         Group discussion

·         Reading and problem assignments

INSTRUCTIONAL MATERIALS/EQUIPMENT

  • Whiteboard and Markers
  • Flip Charts
  • LCD Projectors
  • CDs, DVDs and Tapes