Transcript Notes

Overview

• Session covers:
  • Vertical circular motion
  • Power
  • Collision
  • Conservation of energy
• Topics to review: Newton's laws, friction, work, power, energy
• Special classes starting Monday: Newton's laws, friction, work/power/energy
• Notes will be shared on Telegram group

Key Concepts

Vertical Circular Motion

• Vertical circular motion characteristics
  • Importance of centripetal force (tension)
  • Minimum velocity requirement for complete circular motion
• Formulas & Concepts
  • Velocity (V): V² = U² - 2g(R(1 - cos(θ)))
  • Tension (T): T = m(U²/R + g cos(θ))
• Examples
  • Problems involving object dropped from height and calculating velocity at different points

Power

• Definition: Rate of doing work (P = W/t)
• Types of Power
  • Positive, Negative, Zero
• Power formulas
  • P = Fv, P = W/t
• Real-life examples: engines, motors, lifting objects

Collision

• Types of Collisions
  • Elastic (e = 1): No kinetic energy loss
  • Inelastic (0 < e < 1): Some kinetic energy loss
  • Perfectly Inelastic (e = 0): Maximum kinetic energy loss
• Conservation of Momentum
  • Total momentum before collision = Total momentum after collision
  • Example equations: m1u1 + m2u2 = m1v1 + m2v2
• Coefficient of Restitution (e)
  • Velocity of separation/approach
  • Equations: v2 - v1 = e(u2 - u1)
• Example Problems
  • Calculating velocities after collision
  • Energy loss during collision

Practice Problems & Examples

Vertical Circular Motion Problems

• Example: Object dropped from height, calculate velocity at different points
• Example: Calculate tension at different points (0°, 90°, 180°)
• Key takeaway: Tension must be > 0 for complete circular motion

Power Problems

• Example: Engine power, lifting objects, calculating work rate
• Key takeaway: Power is work done per unit time

Collision Problems

• Example: Perfectly inelastic collision, calculate velocities after collision
• Example: Incline-plane, finding final velocities using momentum and restitution equations
• Key takeaway: Understand types of collisions & apply correct formulas

Important Points to Remember

• Conservation laws (energy, momentum)
• Key formulas for velocity, tension in vertical circular motion
• Definition and types of power with real-life examples
• Different types of collisions and their characteristics
• Practice problems for better understanding and application