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Determine the maximum weight of the bucket that the wire system can support?

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Final answer:

The maximum weight that a wire system can support is determined by its tension limit. To calculate the maximum weight, divide the tensile strength by the acceleration due to gravity. If there is an acceleration, divide the tensile strength by the sum of the acceleration due to gravity and the acceleration of the load.

Step-by-step explanation:

The maximum weight that a wire system can support is determined by its tension limit. When the tension in a wire exceeds its tensile strength, the wire will break. To calculate the maximum weight, we need to know the tensile strength of the wire.

Once we have the tensile strength, we can divide it by the acceleration due to gravity (9.8 m/s^2) to find the maximum weight that can be lifted slowly at a constant speed. If there is an acceleration, we can divide the tensile strength by the sum of the acceleration due to gravity and the acceleration of the load to find the maximum weight that can be lifted.

For example, if the tensile strength of the wire is 6.00 × 10^6 N/m² and there is no acceleration, the maximum weight that can be lifted is 6.00 × 10^6 N/m² ÷ 9.8 m/s^2 = 6.12 × 10^5 kg.

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