A homogeneous sphere of radius c = 40 mm is attached as shown to a cord AB. The cord forms an angle β = 30? with the vertical and is observed to process at the constant rate φ = 5 rad/s about the vertical through A. Determine the angle θ that the diameter BC forms with the vertical, knowing that the sphere

(a) Has no spin,

(b) Spins about its diameter BC at the rate ψ = 30 rad/s,

(c) Spins about BC at the rate ψ = ??30 rad/s.

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A D B ن