Concepts to Remember: Simple Experiments Based on Basic Principles of Mechanics

• Projectile Motion

• Understand the concepts of projectile motion, including the initial velocity, angle of projection, and gravitational acceleration.

• Derive the equations for position and velocity components of a projectile in both the x and y directions.

• Use the equations of trajectory to determine the path followed by a projectile and calculate the range of the projectile.

• Determine the angle of projection for maximum range and understand its implications.

• Equilibrium of Forces

• Use graphical representations like free-body diagrams to analyze and understand the equilibrium of forces.

• Apply the equations of equilibrium for concurrent and non-concurrent forces to solve problems involving static systems.

• Understand and use the triangle law and polygon law of forces to simplify force calculations.

• Friction

• Distinguish between static and kinetic friction and comprehend their significance in everyday situations.

• Understand and apply the laws of friction, including Amonton’s laws, to determine the frictional force acting between two surfaces.

• Calculate the coefficient of friction and recognize its impact on the motion of objects.

• Explore real-world applications of friction in various scenarios, such as brakes, clutches, and tires.

• Work and Energy

• Grasp the concept of work as a measure of energy transfer due to the application of force over a distance.

• Calculate work done by a constant force and comprehend the concept of negative and positive work.

• Apply the work-energy theorem to relate the net work done on an object to its change in kinetic energy.

• Understand the concepts of kinetic energy and potential energy and their interconversion.

• Recognize and apply the principle of conservation of energy in various situations.

• Simple Harmonic Motion

• Identify and understand the characteristics of simple harmonic motion, such as periodic motion and constant acceleration.

• Derive the equation of simple harmonic motion and visualize the motion using sinusoidal graphs.

• Determine the period and frequency of simple harmonic motion and recognize their relationship with angular velocity.

• Analyze and calculate the potential and kinetic energies involved in simple harmonic motion, and observe their conservation.