Question: Denoting, respectively, by , HO, and T the angular velocity, the angular momentum, and the kinetic energy of a rigid body with a fixed point

Denoting, respectively, by ω, HO, and T the angular velocity, the angular momentum, and the kinetic energy of a rigid body with a fixed point O,

(a) Prove thatH0 ⋅ ω = 2T;

(b) Show that the angle θ between ω and H0 will always be acute.

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