Circular Motion
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Kinematics of Circular Motion
- uniform and non-uniform circular motion
- key terminology
- angular displacement in vector form
- frequency and time period
- instantaneous angular acceleration
- motion with constant angular acceleration
- relation between linear and angular quantities
- relative angular velocity
Acceleration in Circular Motion
- tangential and radial acceleration
- total acceleration
- finding centripetal acceleration
- vector approach to acceleration
Radius of Curvature
- definition and calculation in trajectories
Dynamics of Circular Motion
- centripetal force
- applications of Newton's laws in circular motion
- non-uniform circular motion
Conical Pendulum
- setup analysis and time period
Vehicle on Horizontal Circular Road
- friction-based turning
Banking of Roads
- angle of banking
- optimum speed
- maximum permissible speed
Centrifugal Force
- pseudo force in rotating frames
Motion in a Vertical Circle
- condition for completing the loop
- condition for oscillation
- condition for leaving the circle
- looping the loop in other configurations
Motion on a Spherical Surface
- analysis and point of separation
Special Cases
- circular motion in non-inertial frames
- circular motion on an inclined plane
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- 29 subtopics
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