Unit 2 : Mechanics

 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 
• 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