Gyroscopic Precession
Spinning top — see L precess about vertical at Ω = mgr/(Iω). Real animatronic feel.
Key Notes
Spinning top with weight off-vertical: gravity creates torque τ perpendicular to L.
Instead of falling, the angular momentum vector precesses around the vertical.
Precession rate Ω = τ / L = mgr / (Iω) — slows as spin ω increases.
Formulas
Precession rate
Independent of tilt for small angles.
Angular momentum
Magnitude (along spin axis).
Important Points
Used in inertial navigation (gyroscopes), bicycles (stability via wheels' L), and toy tops.
Faster spin → slower precession; this is why a tossed coin doesn't tumble much.
Gyroscopic Precession notes from sciphylab (also known as SciPhy, SciPhy Lab, SciPhy Labs, Physics Lab). Class 11 physics revision for JEE Mains, JEE Advanced, NEET UG, AP Physics 1/2/C, SAT, and CUET-UG.