Unit 2 : Mechanics

The unit Mechanics has got 110 periods.
  1. Kinematics (15 periods)
    • Relative motion
      • Motion in the same direction
      • Motion in opposite directions
    • Rectilinear motion under constant acceleration
      • Graphs of motion
        • s-t graphs
        • v-t graphs
    • Equations of motion
      • Motion on a straight line
      • Projectile motion under gravity
  2. Resultant of forces and torque (15 periods)
    • Resultant of forces
      • Resultant of two forces
      • Resultant of a system of coplanar forces
    • Moment of a force (torque)
      • Moment of a force about a point
      • Moment of a couple (of forces)
      • Resultant of parallel forces and the line of action (parallel forces in the same direction)
      • Center of gravity of a body (using the resultant of parallel forces)
        • Center of gravity of regular shaped bodies
        • Center of gravity of regular shaped compound bodies
      • Center of mass
      • Determination of weight of a body using the parallelogram of forces
  3. Force and motion (20 periods)
    • Mass
      • Inertial mass
      • Gravitational mass
    • Inertial and non-inertial frames
    • Newton's first law of motion
    • Momentum
    • Newton's second law of motion
      • Obtaining \(F = ma \)
      • Defining the unit 'newton'
      • Impulse and impulsive forces
      • Principle of conservation of linear momentum
    • Elastic and inelastic collisions
    • Newton's third law of motion
    • Applications of Newton's laws
    • Self adjusting forces
      • Tension
      • Thrust / compression
      • Frictional forces
        • Static friction
        • Limiting friction
        • Dynamic friction
    • Free body diagrams
  4. Equilibrium (10 periods)
    • Conditions for equilibrium
    • Principle of moments
    • Equilibrium under two forces
    • Equilibrium of coplanar forces
      • Three non parallel forces
      • Tree parallel forces
      • Theorem of triangle of forces
      • Polygon of forces
    • States of equilibrium
      • Stable
      • Unstable
      • Neutral
    • Determination of weight of a body using the principle of moments
  5. Work, energy and power (15 periods)
    • Work
      • Work done by force in transitional motion
    • Mechanical energy
      • Kinetic energy
        • Transitional kinetic energy
      • Potential energy
        • Gravitational potential energy
        • Elastic potential energy
    • Power and efficiency
    • Principle of conservation of energy
    • Principle of conservation of mechanical energy
    • Work-energy principle
  6. Rotational motion and circular motion (15 periods)
    • Rotational motion
      • Angular displacement
      • Angular velocity
      • Frequency of rotation
      • Angular acceleration
      • Equations of rotational motion under uniform angular acceleration
      • Moment of inertia
        • Thin uniform rod
        • Thin uniform ring
        • Uniform circular disk and cylinder
        • Uniform sphere
      • Angular momentum
      • Torque
      • Relationship between torque, moment of inertia and angular acceleration
      • Principle of conservation of angular momentum
      • Work done in rotational motion
      • Rotational kinetic energy
      • Analogy between linear motion and rotational motion
    • Uniform circular motion with uniform angular velocity in a horizontal plane
      • Frequency
      • Period
      • Tangential velocity
      • Centripetal acceleration
      • Centripetal force
  7. Hydrostatics (12 periods)
    • Hydrostatic pressure
    • Atmospheric pressure
    • Comparing the relative density of liquids
      • Using U-tube
      • Using Hare's apparatus
    • Transmission of pressure
      • Pascal's principle and its applications
    • Upthrust
      • Archimedes' principle
    • Floatation
      • Conditions for floatarion
      • Principle of floatation
      • Hydrometer
      • Comparing the density of liquids using the weighted test tube
  8. Fluid-dynamics (08 periods)
    • Streamline flow and turbulent flow
    • Equation of continuity for a steady, stream line flow
    • Bernoulli's principle (derivation not necessary)
    • Application of Bernoulli's principle
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