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A sign hangs off the side of a building with a beam and a cable. The beam is 3m long and the cable makes an angle of 30 degrees with the beam. If the mass of the sign is 10 kg, what is the tension in the cable? You can assume that the beam and the cable are so light as to be massless. (Hint: find the torques around the point where the beam attaches to the building)

A sign hangs off the side of a building with a beam and a cable. The beam is 3m long and the cable makes an angle of 30 degrees with the beam. If the mass of the sign is 10 kg, what is the tension in the cable? You can assume that the beam and the cable are so light as to be massless. (Hint: find the torques around the point where the beam attaches to the building)

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A sign hangs off the side of a building with a beam and a cable. The beam is 3m long and the cable makes an angle of 30 degrees with the beam. If the mass of the sign is 10 kg, what is the tension in the cable? You can assume that the beam and the cable are so light as to be massless. (Hint: find the torques around the point where the beam attaches to the building)

The image shows a simple mechanical structure. A vertical wooden pole supports a horizontal beam, to which a sign reading "Help Wanted" is attached. The sign is hanging from the end of the beam. A diagonal support bar connects the top of the vertical pole to the end of the horizontal beam, forming a triangle with these components. The angle formed between the diagonal support bar and the horizontal beam is labeled as \( \theta = 30.0 \) degrees. This setup represents a typical cantilever sign system where the diagonal support provides additional stability to the extending beam. This kind of structure is often used in signage to ensure stability and balance, distributing weight effectively and reducing stress on the horizontal beam.
Transcribed Image Text:The image shows a simple mechanical structure. A vertical wooden pole supports a horizontal beam, to which a sign reading "Help Wanted" is attached. The sign is hanging from the end of the beam. A diagonal support bar connects the top of the vertical pole to the end of the horizontal beam, forming a triangle with these components. The angle formed between the diagonal support bar and the horizontal beam is labeled as \( \theta = 30.0 \) degrees. This setup represents a typical cantilever sign system where the diagonal support provides additional stability to the extending beam. This kind of structure is often used in signage to ensure stability and balance, distributing weight effectively and reducing stress on the horizontal beam.
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