A 7.64-m uniform beam is hinged to a vertical wall and held horizontally by a 5.00-m cable attached to the wall 4.00 m above the hinge, as shown in the figure.  The metal of this cable has a test strength of 728 N, which means that it will break if the tension in it exceeds that amount.  What is the largest mass the beam can have?  Round your answer to one decimal place.

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A 7.64-m uniform beam is hinged to a vertical wall and held horizontally by a 5.00-m cable attached to the wall 4.00 m above the hinge, as shown in the figure.  The metal of this cable has a test strength of 728 N, which means that it will break if the tension in it exceeds that amount.  What is the largest mass the beam can have?  Round your answer to one decimal place.

The image shows a diagram of a horizontal beam supported by a cable. 

- **Beam:** The beam is in a horizontal position, depicted in orange.

- **Wall:** The beam is attached to a vertical wall on the left side.

- **Cable:** A 5.0-meter cable supports the beam. It is drawn diagonally from the top of the wall to the end of the beam.

- **Dimensions:**
  - The point where the cable attaches to the wall is 4.0 meters above the beam’s attachment point.
  - The length of the beam is not labeled, but it can be inferred to meet the horizontal distance where the cable attaches.

This setup typically represents a common physics problem involving balancing forces, considering tension in the cable and the force exerted by the beam downward due to gravity.
Transcribed Image Text:The image shows a diagram of a horizontal beam supported by a cable. - **Beam:** The beam is in a horizontal position, depicted in orange. - **Wall:** The beam is attached to a vertical wall on the left side. - **Cable:** A 5.0-meter cable supports the beam. It is drawn diagonally from the top of the wall to the end of the beam. - **Dimensions:** - The point where the cable attaches to the wall is 4.0 meters above the beam’s attachment point. - The length of the beam is not labeled, but it can be inferred to meet the horizontal distance where the cable attaches. This setup typically represents a common physics problem involving balancing forces, considering tension in the cable and the force exerted by the beam downward due to gravity.
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