A tower crane (Figure 1) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift a m = 2800-kg air-conditioning unit. The crane's dimensions are shown in (Figure 2). The crane's counterweight has a mass of M = 8000 kg . Ignore the mass of the beam.a) Where must the crane's counterweight be placed when the load is lifted from the ground? (The counterweight is usually moved automatically via sensors and motors to precisely compensate for the load.)b) Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent. The image depicts a construction site during sunset, featuring two large tower cranes silhouetted against a colorful sky. The cranes are prominently positioned, with their long horizontal arms extending outward for lifting and moving materials efficiently. The scene conveys an atmosphere of growth and development, often associated with urban expansion and construction projects. The background features a gradient of colors from orange to purple, indicating the transition from day to night, while street lights begin to illuminate the scene. The diagram illustrates a crane setup with the following key components:1. **Counterweight (M):** Located at the left end of the crane arm, it is shown as a yellow block. This counterweight is adjustable along a horizontal line, indicated with the variable distance \(x\).2. **Distances:** - The horizontal distance from the base of the crane to the counterweight is 3.4 meters. - The distance from the base of the crane to the suspended load \(m\) on the right side is 7.7 meters.3. **Structure:** - The crane consists of a vertical support structure. - A horizontal arm extends from the vertical support, holding both the counterweight (on the left) and the load \(m\) (on the right). 4. **Load (m):** Positioned at the far right of the crane arm, shown as a gray block being hoisted by the crane.This crane model demonstrates the balance of forces and the importance of counterweights in maintaining stability while lifting loads.

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Answered: A tower crane (Figure 1) must always be…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A tower crane (Figure 1) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift a m = 2800-kg air-conditioning unit. The crane's dimensions are shown in (Figure 2). The crane's counterweight has a mass of M = 8000 kg . Ignore the mass of the beam.

a) Where must the crane's counterweight be placed when the load is lifted from the ground? (The counterweight is usually moved automatically via sensors and motors to precisely compensate for the load.)

b) Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent.

The image depicts a construction site during sunset, featuring two large tower cranes silhouetted against a colorful sky. The cranes are prominently positioned, with their long horizontal arms extending outward for lifting and moving materials efficiently. The scene conveys an atmosphere of growth and development, often associated with urban expansion and construction projects. The background features a gradient of colors from orange to purple, indicating the transition from day to night, while street lights begin to illuminate the scene.

The diagram illustrates a crane setup with the following key components:

1. **Counterweight (M):** Located at the left end of the crane arm, it is shown as a yellow block. This counterweight is adjustable along a horizontal line, indicated with the variable distance \(x\).

2. **Distances:**
- The horizontal distance from the base of the crane to the counterweight is 3.4 meters.
- The distance from the base of the crane to the suspended load \(m\) on the right side is 7.7 meters.

3. **Structure:**
- The crane consists of a vertical support structure.
- A horizontal arm extends from the vertical support, holding both the counterweight (on the left) and the load \(m\) (on the right).

4. **Load (m):** Positioned at the far right of the crane arm, shown as a gray block being hoisted by the crane.

This crane model demonstrates the balance of forces and the importance of counterweights in maintaining stability while lifting loads.

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