Answer :
Final answer:
The concept of static equilibrium in physics allows us to calculate the upward forces at each girder endpoint. We add up the weight of the girder and the additional load it supports, then divide this total by two since the weight is shared equally by the endpoints.
Explanation:
This question pertains to the physics concept of static equilibrium, where the sum of the forces on an object equals zero because the object is at rest. When you have a uniform steel girder supported by two endpoints and it's under the influence of a mass, the forces bearing the endpoints will be equal, as the girder is not moving or rotating.
Given the mass of the girder, 1200 kg, and the load it supports, 3700 kg, we can calculate the total weight it needs to hold up using the concept of gravitational force. We do this by weighing the structure and the load. The total weight would be W = (1200kg + 3700kg) * 9.81 m/s² (approximate gravitational acceleration on Earth).
As the girder is uniform and the load evenly distributed, both endpoints share the weight equally. Therefore, the upward force at each endpoint is half of the total weight. Using the gravitational force calculated earlier, we divide this by 2 to find the force exerted at each endpoint.
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