circular motion vertical
Overview
This lesson explores the dynamics of objects moving in vertical circles, focusing on the interplay between gravity, tension/normal force, and centripetal force. We will analyze critical points in the motion, such as the top and bottom of the circle, and determine conditions for completing a full loop.
Introduction to Vertical Circular Motion
Unlike horizontal circular motion where gravity acts perpendicular to the plane of motion, in vertical circular motion, gravity's influence varies throughout the path. This means that the speed of the object and the tension in the string (or normal reaction force) are not constant. We consider a par...
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Key Concepts
- Centripetal Force: The net force acting on an object moving in a circular path, directed towards the center of the circle, given by F = mv^2/r.
- Tension: The force exerted by a string or cable, pulling an object.
- Normal Reaction Force: The force perpendicular to a surface, exerted by the surface on an object in contact with it.
- Conservation of Energy: The principle that the total mechanical energy (kinetic + potential) of a system remains constant if only conservative forces are doing work.
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Exam Tips
- →Always draw a clear free-body diagram at the critical points (top, bottom, or general angle) to correctly identify and resolve forces.
- →Clearly state your chosen datum for potential energy when using conservation of energy. The bottom of the circle is often the most convenient.
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