Block A can move without friction in the slot as shown and is acted upon by a vertical periodic force of magnitude P = Pm sin ωft where ωf = 2 rad/s and Pm = 5lb. A spring of constant k is attached to the bottom of block A and to a 44-lb block B. Determine

(a) The value of the constant k which will prevent a steady-state vibration of block A,

(b) The corresponding amplitude of the vibration of block B.

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