Rotational Dynamics
Maharashtra Board · Class 12 · Physics
Quick revision notes for Rotational Dynamics — Maharashtra Board Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Circular Motion Fundamentals
- Circular motion is accelerated motion due to continuous change in velocity direction
- Angular displacement (θ), angular velocity (ω = dθ/dt), and angular acceleration (α = dω/dt)
- Relationship between linear and angular quantities: v = ωr, a_tangential = αr
2. Centripetal and Centrifugal Forces
- Centripetal force is real force directed toward center, providing necessary acceleration
- Centrifugal force is pseudo force experienced in rotating reference frame
- Centripetal force = mω²r = mv²/r in magnitude
3. Applications of Circular Motion
- Banking of roads reduces dependence on friction for turning
- Conical pendulum demonstrates circular motion under gravity and tension
- Vehicle on horizontal track: friction provides centripetal force
4. Vertical Circular Motion
- Two types: controlled (like giant wheel) and gravity-controlled motion
- Speed varies continuously due to gravity doing work
- Minimum speed at top: v_min = √(rg) for string/track contact
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