(Solved): Construct a free-body diagram of the sphere \( S \) in the figure resting against two smooth surfac ...

Construct a free-body diagram of the sphere \( S \) in the figure resting against two smooth surfaces. Find the magnitudes of the reactions of the smooth surfaces on the sphere at \( A \) and \( B \). The sphere has a mass of \( 450 \mathrm{lbm} .91=321740 \mathrm{ft} / \mathrm{s}^{2} \). The angle \( X=30^{\circ} \) The magnitude of reaction on the sphere at \( A \) is The magnitude of reaction on the sphere at \( B \) is