You pass by a building site and see a crane that lifts loads to upper floors of a building under construction. You wonder about the magnitude of the forces that support the beam of the crane. You snap a photograph of the crane with your smartphone. Back at home, you make a drawing of the crane from your photo. Your drawing is shown in the following figure. B - *CM You estimate the lengths as a scale for the drawing. This tells you that d = 1.00 m and e = 6.00 m. You have drawn the force vector for the gravitational force on the beam of the crane, but then you realize you don't know where the center of mass of the beam is located. You run back to the construction office and explain your interest. You ask the construction foreman about the crane, and he tells you that the crane itself has a mass of m, = 3,250 kg and the load it was lifting when you took the photograph has a mass of m, = 10,200 kg. You then ask the foreman about the location of the center of mass of the beam. Amused by your interest, he consults his documents and finds that the center of mass of the crane is located xCM = 2.00 m horizontally to the right of point A. He also tells you that the pin at A is on a bearing and essentially frictionless, and the point B against which the crane pushes is smooth. Thanking the foreman and running home, you sit at your desk and determine the forces on the crane at points A and B. and e by measuring the distance between floors on a point of the building the same distance from your smartphone as the crane and using that distance
You pass by a building site and see a crane that lifts loads to upper floors of a building under construction. You wonder about the magnitude of the forces that support the beam of the crane. You snap a photograph of the crane with your smartphone. Back at home, you make a drawing of the crane from your photo. Your drawing is shown in the following figure. B - *CM You estimate the lengths as a scale for the drawing. This tells you that d = 1.00 m and e = 6.00 m. You have drawn the force vector for the gravitational force on the beam of the crane, but then you realize you don't know where the center of mass of the beam is located. You run back to the construction office and explain your interest. You ask the construction foreman about the crane, and he tells you that the crane itself has a mass of m, = 3,250 kg and the load it was lifting when you took the photograph has a mass of m, = 10,200 kg. You then ask the foreman about the location of the center of mass of the beam. Amused by your interest, he consults his documents and finds that the center of mass of the crane is located xCM = 2.00 m horizontally to the right of point A. He also tells you that the pin at A is on a bearing and essentially frictionless, and the point B against which the crane pushes is smooth. Thanking the foreman and running home, you sit at your desk and determine the forces on the crane at points A and B. and e by measuring the distance between floors on a point of the building the same distance from your smartphone as the crane and using that distance
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![You pass by a building site and see a crane that lifts loads to upper floors of a building under construction. You wonder about the magnitude of the forces that support the beam of the crane. You snap a photograph of the crane with your smartphone. Back at home, you make a drawing of the crane from your photo. Your drawing is shown in the following figure.
[Image description: A diagram of a crane is depicted. It is structured with a triangular truss. Point A is at the pivot on the left, and point B is at the base on the right. The crane's beam is marked with a gravitational force acting downwards at its center of mass, marked as \(m_1 \mathbf{g}\). A load \(m_2\) is hanging from the far right of the crane. The height from the pivot to the ground is labeled \(d\), and the length of the beam is labeled \(\ell\). The center of mass \(x_{CM}\) is shown at a distance along the beam.]
You estimate the lengths \(d\) and \(\ell\) by measuring the distance between floors on a point of the building the same distance from your smartphone as the crane and using that distance as a scale for the drawing. This tells you that \(d = 1.00 \, \text{m}\) and \(\ell = 6.00 \, \text{m}\). You have drawn the force vector for the gravitational force on the beam of the crane, but then you realize you don’t know where the center of mass of the beam is located. You run back to the construction office and explain your interest. You ask the construction foreman about the crane, and he tells you that the crane itself has a mass of \(m_1 = 3,250 \, \text{kg}\) and the load it was lifting when you took the photograph has a mass of \(m_2 = 10,200 \, \text{kg}\). You then ask the foreman about the location of the center of mass of the beam. Amused by your interest, he consults his documents and finds that the center of mass of the crane is located \(x_{CM} = 2.00 \, \text{m}\) horizontally to the right of point A. He also tells you that the pin at A is on a bearing and essentially frictionless, and the point B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f2c3d99-9ef7-4143-b412-4ae4e3b56b6f%2F2930ef65-cbe3-4b04-8e9f-7d6de5aa662e%2F74iwdv_processed.png&w=3840&q=75)
Transcribed Image Text:You pass by a building site and see a crane that lifts loads to upper floors of a building under construction. You wonder about the magnitude of the forces that support the beam of the crane. You snap a photograph of the crane with your smartphone. Back at home, you make a drawing of the crane from your photo. Your drawing is shown in the following figure.
[Image description: A diagram of a crane is depicted. It is structured with a triangular truss. Point A is at the pivot on the left, and point B is at the base on the right. The crane's beam is marked with a gravitational force acting downwards at its center of mass, marked as \(m_1 \mathbf{g}\). A load \(m_2\) is hanging from the far right of the crane. The height from the pivot to the ground is labeled \(d\), and the length of the beam is labeled \(\ell\). The center of mass \(x_{CM}\) is shown at a distance along the beam.]
You estimate the lengths \(d\) and \(\ell\) by measuring the distance between floors on a point of the building the same distance from your smartphone as the crane and using that distance as a scale for the drawing. This tells you that \(d = 1.00 \, \text{m}\) and \(\ell = 6.00 \, \text{m}\). You have drawn the force vector for the gravitational force on the beam of the crane, but then you realize you don’t know where the center of mass of the beam is located. You run back to the construction office and explain your interest. You ask the construction foreman about the crane, and he tells you that the crane itself has a mass of \(m_1 = 3,250 \, \text{kg}\) and the load it was lifting when you took the photograph has a mass of \(m_2 = 10,200 \, \text{kg}\). You then ask the foreman about the location of the center of mass of the beam. Amused by your interest, he consults his documents and finds that the center of mass of the crane is located \(x_{CM} = 2.00 \, \text{m}\) horizontally to the right of point A. He also tells you that the pin at A is on a bearing and essentially frictionless, and the point B
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