A 64-lb block is attached to a spring of constant 1 kip/k = /ft and can move without friction in a vertical slot as shown. It is acted upon by a periodic force of magnitude P = P_msin ω_ft where ω_f= 10rad/s. Knowing that the amplitude of the motion is 0.75 in., determine P_m.

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P=P sin cyt 64 lb k = 1 kip/ft