Final answer:
To find the maximum mass of the lamp that the cord system can support without exceeding a tension of 400 N, we need to consider the forces acting on the system.
Step-by-step explanation:
To find the maximum mass of the lamp that the cord system can support without exceeding a tension of 400 N, we need to consider the forces acting on the system.
First, let's consider the forces acting on the lamp. The weight of the lamp (mg) must be supported by the tension in the cords (T). Since there are multiple cords, we need to make sure that the tension in each cord does not exceed 400 N.
Let's assume there are 'n' cords supporting the lamp. The maximum tension in each cord should be 400 N. Therefore, the total maximum tension in the cords should be n * 400 N.
So, to find the maximum mass of the lamp, we need to calculate the tension in each cord:
Tension in each cord = Total maximum tension in the cords / n.
Finally, we can find the maximum mass of the lamp by equating the weight of the lamp to the tension in each cord:
mg = Tension in each cord.