Rotational Motion of a Rigid Body: Moment of Inertia
ICSE · Class 11 · Physics
All formulas from Rotational Motion of a Rigid Body: Moment of Inertia in ICSE Class 11 Physics. Key equations, constants, and identities for board exam preparation.
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1) Torque and Angular Momentum
τ = r × F
τ = rF sinθ
L = r × p
L = rp sinθ
τ = dL/dt
2) Rigid Body, Rotation, and Kinematics
s = rθ
v = rω
a = rα
ω = ω0 + αt
θ = ω0 t + (1/2)αt^2
3) Moment of Inertia and Radius of Gyration
I = Σmr^2
I = ∫r^2 dm
I = Mk^2
k = √(I/M)
4) Theorems of Parallel and Perpendicular Axes
I = Icm + Ma^2
Iz = Ix + Iy
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