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.
Page 1 as PDF
Rotational Dynamics in one look
circles, banking, moment of inertia and the whole rolling family
Circular motion, the kinematics
- revolution: axis outside the body; rotation: axis through it
- ω=dθ/dt and α=dω/dt, twins of v and a
- from angular to linear, θ in radians: s=rθ, v=ω r, a_t=α r
- v=ωtimesr; ω and α lie along the axis, by the right hand thumb rule
- ω = 2π n = 2π/T, n in rev/s
- uniform circular motion: radial a_r=ω^2r=v^2/r=vω, toward the centre
- non-uniform adds a tangential a_t=α r
- total a=√a_r^2+a_t^2, the two being perpendicular
- α points with ω when speeding up, against it when slowing
Angular kinematic equations
- average ω, constant α
ω_av = ω_0+ω/2 - first equation
ω = ω_0+α t - second equation
θ = ω_0t+1/2α t^2 - third equation
ω^2 = ω_0^2+2αθ
Centripetal and centrifugal force
Centripetal
- F = -mω^2r, magnitude mv^2/r
- not a separate force: it names the resultant's direction
- written in the ground frame
Centrifugal
- F = +mω^2r, outward, felt in the rotating frame
- a pseudo force: the frame itself accelerates
- there, real forces plus it add to zero
Page 1 of 7. The full sheet, all 7 pages, opens free in the app.
What this Rotational Dynamics sheet covers
- circular motion
- angular velocity
- Circular motion, the kinematics
- Angular kinematic equations
- average ω, constant α
- first equation
- second equation
- third equation
- Centripetal and centrifugal force
- Centripetal
- Centrifugal
- Cut the string, ride the wheel
- Vehicle on a level circular road
- friction supplies the centripetal force
- vertical balance
- the ratio
- upper speed limit
- Well of death, the vertical wall
- the wall pushes inward
- friction holds the weight
- lower speed limit
- smallest wall reaction
- 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
- The two banking limits
- Conical pendulum
- horizontal, the centripetal part
- angular speed
- period
- vertical circle
- Vertical circular motion
- A mass on a string, the minimum condition
- at the top
- just completing, T_A = 0
- at the bottom
- energy between the two
- least speed at the bottom
- tension difference
- moment of inertia
- Moments of inertia worth knowing
- The two axis theorems
- Parallel axes
- Perpendicular axes
- torque
- angular momentum
- Torque and angular momentum
- angular momentum, a particle
- its magnitude
- rigid body
- torque and angular acceleration
- Conservation of angular momentum
- rolling
- Rolling motion
- Rolling down an incline
- speed at the bottom, from height h
- acceleration along the slope
- sliding, no friction
- shape factor K^2/R^2
- Skidding and slipping
- Straight line to rotation, term by term
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
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.
More Physics Class 12 revision notes
- AC Circuits
- Current Electricity
- Dual Nature of Radiation and Matter
- Electromagnetic Induction
- Electrostatics
- Kinetic Theory of Gases and Radiation
- Magnetic Fields due to Electric Current
- Magnetic Materials
- Mechanical Properties of Fluids
- Oscillations
- Semiconductor Devices
- Structure of Atoms and Nuclei
- Superposition of Waves
- Thermodynamics
- Wave Optics