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Rotational Dynamics — Class 12 Maharashtra HSC Physics revision notes
A 7-page visual revision sheet for Rotational Dynamics, written for Class 12 Maharashtra HSC Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
A preview of page 1 — all 7 pages open full size in the app.
What this Rotational Dynamics sheet covers
circular motion angular velocity Circular motion, the kinematics Angular kinematic equations average angular speed first equation second equation third equation Centripetal vs centrifugal Centripetal force Centrifugal force Vehicle on a level circular road friction supplies the whole centripetal force vertical balance so the ratio upper speed limit Well of death, the vertical wall the wall pushes inward friction holds the weight up lower speed limit smallest wall reaction Why banking gives two limits banking of road banking Vehicle on a banked road ideal banking, no friction needed the most safe speed lower limit with friction upper limit with friction Reading the two banking limits Conical pendulum horizontal, the centripetal part angular speed period frequency vertical circle Vertical circular motion A mass on a string, the minimum condition at the top just completing the circle, T_A = 0 at the bottom energy between the two so the least speed at the bottom the tension difference String vs rod Tied to a string Fixed to a rod moment of inertia Moments of inertia worth knowing ring or hollow cylinder, own axis ring about a diameter disc or solid cylinder, own axis disc about a diameter solid sphere, diameter thin hollow sphere, diameter thin rod, centre, perpendicular thin rod, one end, perpendicular solid cone, own axis The two axis theorems Parallel axes Perpendicular axes torque angular momentum Torque and angular momentum angular momentum of a particle its magnitude for a rigid body torque and angular acceleration Conservation of angular momentum Where you have watched it happen rolling Rolling motion Rolling down an incline speed at the bottom, from height h acceleration along the slope sliding with no friction, for comparison the shape factor Straight line to rotation, term by term mass becomes moment of inertia force becomes torque momentum becomes angular momentum work done power delivered Units and dimensions ω angular speed α angular acceleration I moment of inertia τ torque L angular momentum K radius of gyration Symbols Traps that cost marks Tricks that save time
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These notes are not a standalone PDF. CapCompass plans Physics chapter by chapter against your real exam dates and free hours, and when the plan reaches Rotational Dynamics the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.
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