The disk has mass M and is supported on the smooth cylindrical surface by a spring having stiffness k and unstretched length l0. The spring remains in the horizontal position since its end A is attached to the small roller guide which has negligible weight. Determine the angle θ to the nearest degree for equilibrium of the roller.

Given:

M = 20 kg

k = 400N/m

l0 = 1 m

r = 2 m

g = 9.81m/s2

a = 0.2 m

Guesses F = 10 N R = 10 N θ = 30 deg

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Mg