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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 { v }_{ 1 } 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. Given: W = 10 lb , { μ }_{ k } = 0.5 , { F }_{ R } = 2 lb , T = 20 lb , { F }_{ H } = 7 lb , r = 4 ft , { v }_{ 1 } = 2 ft/s , g = { 32.2ft/s }^{ 2 } , θ = 30 deg

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