Egypt (EN)

Egyptian National Curriculum - English


Applied Mathematics - Mechanics G12

  • Overview
  • Chapters

Applied Mathematics - Mechanics for 3rd year of secondary school

  • 1: Statics
    1.1: Friction
    1.1.1: The Equilibrium of a Body on a Rough Horizontal Plane
    1.1.2: Reaction
    1.1.3: Smooth and rough surfaces
    1.1.4: The properties of the static friction force
    1.1.5: kinetic friction force
    1.1.6: Resultant reaction
    1.1.7: Angle of friction
    1.1.8: The relation between coefficient of friction and angle of friction
    1.1.9: The Equilibrium of a Body on a Rough Inclined Plane
    1.2: Moments
    1.2.1: Moments in 2D
    1.2.2: The moment of a force about a point
    1.2.3: Algebraic measure of the moment
    1.2.4: The norm of the moment
    1.2.5: The moment of a force
    1.2.6: The magnitude of the moment measuring unit
    1.2.7: Principle of moments (Varignons theorem)
    1.2.8: General theorem of moments
    1.2.9: Moments in 3D
    1.2.10: Coordinate components of the moment of a force about a point
    1.3: Parallel Coplanar Forces
    1.3.1: Resultant of Parallel Forces
    1.3.2: Resultant of two Parallel Forces having the same directions (like forces)
    1.3.3: Resultant of two unlike Forces
    1.3.4: The resultant of a system of Parallel Forces
    1.3.5: Equilibrium of a Rigid Body under Parallel Forces
    1.4: General Equilibrium
    1.4.1: Equilibrium of a Rigid Body
    1.4.2: Vanishing of the moments of a set of forces about any point
    1.5: Couples
    1.5.1: Couple
    1.5.2: Moment of a Couple
    1.5.3: Equivalent of two couples
    1.5.4: Equilibrium of a Rigid Body under Coplanar Couples
    1.5.5: Equivalent System of Forces to a Couple
    1.5.6: Resultant couple
    1.6: Center of Gravity
    1.6.1: Center of Gravity of a rigid body
    1.6.2: The weight, center of gravity and gravitation of body
    1.6.3: The center of gravity of a system
    1.6.4: The center of gravity of two physical points
    1.6.5: Position vector of the center of gravity of a rigid body about the origin point
    1.6.6: The free suspension of a rigid body
    1.6.7: Center of Mass of Uniform Rods
    1.6.8: Center of Mass of Laminas
    1.6.9: The Negative Mass Method
    1.6.10: The center of gravity of some symmetric bodies
  • 2: Dynamics
    2.1: Rectilinear Motion
    2.1.1: Rectilinear Motion
    2.1.2: Position of the particle
    2.1.3: Displacement
    2.1.4: Velocity
    2.1.5: Acceleration
    2.1.6: The algebraic measure of the velocity vector and acceleration
    2.1.7: Linear Motion with Derivatives
    2.1.8: Applications of Derivatives on Rectilinear Motion
    2.1.9: Velocity–Time Graphs
    2.1.10: Definite integration
    2.1.11: Deducing the velocity and displacement
    2.1.12: Linear Motion with Integration
    2.2: Newton’s Laws of Motion
    2.2.1: Momentum
    2.2.2: Measuring units of momentum
    2.2.3: The change of momentum
    2.2.4: Newton’s First Law of Motion
    2.2.5: Inertia
    2.2.6: Force
    2.2.7: Newton’s Second Law: Constant Mass
    2.2.8: Newton’s Second Law: Variable Mass
    2.2.9: Newton’s Third Law of Motion
    2.2.10: Pressure and reaction
    2.2.11: Motion of a Body on a Smooth Inclined Plane
    2.2.12: Motion of a Body on a Rough Plane
    2.2.13: Applications of Newton’s Second Law: Two Masses Hanging from a Pulley
    2.2.14: Applications of Newton’s Second Law: Horizontal Pulley
    2.2.15: Applications of Newton’s Second Law: Inclined Pulley
    2.3: Impulse and Collision
    2.3.1: Impulse
    2.3.2: The measuring units of the magnitude of impulse
    2.3.3: Impulse and Momentum
    2.3.4: The impulsive forces
    2.3.5: Collisions and Conservation of Momentum
    2.3.6: Elastic collision
    2.3.7: Inelastic collision
    2.4: Work, Power & Energy
    2.4.1: Work Done by a Constant Force
    2.4.2: Work Done by a Force Expressed in Vector Notation
    2.4.3: Work and Integration
    2.4.4: Kinetic Energy
    2.4.5: The Work–Energy Principle
    2.4.6: Potential Energy
    2.4.7: Conservation of Energy
    2.4.8: Motion on a rough inclined plane
    2.4.9: Power
    2.4.10: Power as the Rate of Work

As education evolves, mydrasa is at the forefront, shaping tomorrow's schooling experience.

Subscribe to our

Don't miss any news. We will also notify you with new features as they are launched.