A collar B of weight W can move freely along the vertical rod shown. The constant of

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A collar B of weight W can move freely along the vertical rod shown. The constant of the spring is k, and the spring is unstretched when θ = 0.

(a) Derive an equation in θ, W, k, and l which must be satisfied when the collar is in equilibrium.

(b) Knowing that W = 3 lb, l = 6 in., and k = 8 lb/ft, determine the value of θ corresponding to equilibrium.



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