A gyroscope wheel is at one end of an axle of length I. The other end of the axle is suspended from a string of length L. The wheel is set into motion so that it executes uniform precession in the horizontal plane. The wheel has mass M and moment of inertia about its center of mass l0. Its spin angular velocity is ωs. Neglect the mass of the shaft and of the string.
Find the angle β that the string makes with the vertical. Assume that β is so small that approximations like sin β ≈ β are justified.
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