The block of weight W rests on a surface for which the kinetic coefficient of friction is μ_k. It is acted upon by a radial force F_R and a horizontal force F_H, always directed at angle θ from the tangent to the path as shown. If the block is initially moving in a circular path with a speed v₁ at the instant the forces are applied, determine the time required before the tension in cord AB becomes T. Neglect the size of the block for the calculation.

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Given: W = 10 lb FR = 2 lb FH = 7 lb ft VI = 2 S 30 deg Mk = 0.5 T = 20 lb r = 4 ft 8 = 32.2 FH FR