The cabinet of weight W is subjected to the force F = a(bt+c). If the cabinet is initially moving up the plane with velocity v0, determine how long it will take before the cabinet comes to a stop. F always acts parallel to the plane. Neglect the size of the rollers.

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Given: W = 4 lb a = 20 lb b = - S c = 1 VO = 10 g = 32.2 8 = ft 20 deg 10.0-0.0