The block of weight W is originally at rest on the smooth surface. It is acted upon by a radial force F_R and a horizontal force F_H, always directed at θ from the tangent to the path as shown. Determine the time required to break the cord, which requires a tension T. What is the speed of the block when this occurs? Neglect the size of the block for the calculation.

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Given: W = 10 lb FR = 2 lb FH = 7 lb ft V1 = 0 VI S 0 = 30 deg T = 30 lb r = 4 ft 8 = 32.2 ft 2 S