Question

The 20-lb cabinet is subjected to the force F = (3 + 2t) lb, where t is in seconds. If the cabinet is initially moving down the plane with a speed of 6 ft/s, determine how long it takes for the force to bring the cabinet to rest. F always acts parallel to the plane.

Answer 1

The force never brings the cabinet to rest.

Step-by-step explanation:

In order to bring the cabinet to rest, we need to find the time at which the force is equal to zero. To do this, we set the force equation equal to zero and solve for t:

(3 + 2t) lb = 0

2t = -3

t = -1.5

Since time cannot be negative, there is no solution in this case. Therefore, the force never brings the cabinet to rest.