Normal tangential co ordinates Tutorial 3

#EngineeringDynamics #EngineeringMechanics #Mechanics #Dynamics #Kinematics #ParticleKinematics #CurvilinearMotion #CircularMotion #NormalTangentialCoordinates #NormalTangential #TangentialDirection #NormalDirection #TangentialAcceleration #NormalAcceleration #CentripetalAcceleration #RadialAcceleration #RadiusOfCurvature #CentreOfCurvature #Curvature #PathCoordinates #Trajectory #Speed #Velocity #Acceleration #AngularVelocity #AngularAcceleration #UniformCircularMotion #NonUniformCircularMotion #MotionAlongACurve #CentripetalForce ► Watch AD-FREE video AND download practice questions (COMPLETELY FREE) here: https://www.pemtutoring.co.uk/courses/03-normal-tangential-coordinates/ (no login or sign up required) ► FREE downloadable resources here: https://www.pemtutoring.co.uk/engineering-dynamics/ (no login or sign up required) 👇 SUBSCRIBE to PEM TUTORING YouTube channel 👇 https://www.youtube.com/channel/UCPm2FuKmrjLmbG0HbnV-mfg?sub_confirmation=1 ★☆★ FOLLOW ON SOCIAL MEDIA ★☆★ YouTube: https://www.youtube.com/channel/UCPm2FuKmrjLmbG0HbnV-mfg Website: https://www.pemtutoring.co.uk/ Instagram: https://www.instagram.com/pemtutoring/ Facebook: https://www.facebook.com/pages/category/Product-Service/PEM-Tutoring-101112152080368/ For a particle moving along a known path, it’s often best to describe the motion using normal–tangential coordinates. These axes are set tangential and normal to the path at the particle’s position (origin at the particle), giving a natural and convenient way to analyse curvilinear motion—including circular motion and motion with a varying radius of curvature. ⏱️ TIMESTAMPS ⏱️ 00:00 Introduction 00:24 Circular motion 10:51 Circular motion vs rectilinear motion 11:07 Circular motion – acceleration 20:14 Circular motion – summary of equations 20:27 Normal – Tangential co-ordinate system 23:45 Normal – Tangential co-ordinates with varying radius of curvature 26:01 Deriving equation for centre of curvature at a point 38:05 Example 1: Circular motion 44:03 Example 2: Circular motion 45:55 Example 3: Varying radius of curvature