## Question:

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 ${ v }_{ 0 }$ , 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.Given: W = 4 lb , ${ v }_{ 0 }$ =10 ft/s , a = 20 lb , g = ${ 32.2ft/s }^{ 2 }$, b = 1 s , θ = 20 deg , c = 1