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A 9-lb collar can slide on a frictionless horizont

A 9-lb collar can slide on a frictionless horizontal rod and is attached to a spring of constant k. It is acted upon by a periodic force of magnitude P = Pm sin ωft, where Pm = 2 lb and ωf = 5 rad/s. Determine the value of the spring constant k knowing that the motion of the collar has an amplitude of 6 in. and is (a) in phase with the applied force, (b) out of phase with the applied force.

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