1000 N man walks across an 8 meter plank that is suspended from two ropes(one on each side of the plank) that can only support 400N where will the man be when the plank breaks?
To determine where the man will be when the plank breaks, we need to consider the forces acting on the plank due to the man's weight.
Here's how we can calculate it:
1. Calculate the total weight of the man: The man has a weight of 1000 N.
2. Determine the weight distribution on the plank: Since the man is standing in the middle of the plank, the weight is evenly distributed between the two ropes. So each rope will need to support half of the man's weight.
3. Calculate the tension in each rope: Since each rope only supports 400 N, they cannot support the full weight of the man. Therefore, each rope can only support a maximum tension of 400 N.
4. Determine the point on the plank where the tension is highest: To find this point, we need to consider the distribution of weight and tension on the plank. Since the tension is highest at the point where the weight is concentrated, the man will be closest to the rope that is about to break.
Therefore, when the plank breaks, the man will be closer to the rope that cannot support the tension. Specifically, the man will be positioned closer to the rope with the maximum tension, which in this case is the rope that can support only 400 N.
Note: This assumes that the weight distribution and force distribution on the plank is uniform and there are no other external factors affecting the stability of the plank.