I do appreciate the response to my first question. I understand the approximation of stating that μ = 0.20, just as the object begins to move. But, can you base that approx. on the fact that the object is moving at a constant velocity, as was stated in the explaination above. The problem does not state that the object is moving at a constant velocity. The object is accelerating once the wheels are unlocked---which means the bucket is accelerating. Therefore, we would not be able to say, for the bucket, that T=mg

I do appreciate the response to my first question. I understand the approximation of stating that μ = 0.20, just as the object begins to move. But, can you base that approx. on the fact that the object is moving at a constant velocity, as was stated in the explaination above. The problem does not state that the object is moving at a constant velocity. The object is accelerating once the wheels are unlocked---which means the bucket is accelerating. Therefore, we would not be able to say, for the bucket, that T=mg

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