Motion in a Circle
Motion in a Circle — Edexcel International A-Level Mathematics (Unit 7 / Mechanics 3 (M3)). Covers: Uniform Circular Motion (centripetal acceleration a = v²/r = rω², horizontal-plane Newton II including the conical pendulum and a particle on a banked track); Non-Uniform Circular Motion in a Vertical Plane (energy conservation + Newton II, conditions for completing the loop and losing contact).
Uniform Circular MotionSign up
understand and use the formulae for the acceleration of a particle moving in a circle at constant speed: a = v^2 / r = r ω^2, where ω is the angular speed · be able to apply Newton's second law to circular motion in horizontal circles, including the conical pendulum and a particle on a banked track
Non-Uniform Circular Motion in a Vertical PlaneSign up
be able to use energy conservation together with Newton's second law to analyse motion in a vertical circle, including the bucket-overhead and ball-on-string cases · understand the difference between a string (which can only pull) and a rigid track/wire (which can push or pull), and derive the critical condition for completing a vertical loop