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 = 2500-kg air-conditioning unit. The crane's dimensions are shown in (Figure 2). The crane's counterweight has a mass of M = 8400 kg . Ignore the mass of the beam.Part AWhere 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.) Part BDetermine the maximum load that can be lifted with this counterweight when it is placed at its full extent. The image depicts a conceptual diagram of a crane, focusing on the balance between a counterweight and a load. **Diagram Breakdown:**1. **Crane Structure:** - The crane includes a vertical tower and a horizontal arm. - The arm extends horizontally and supports a load and a counterweight.2. **Counterweight (M):** - Placed on the left side of the horizontal arm. - The variable "x" represents the distance from the vertical tower to the counterweight. - The horizontal distance from the vertical tower to the counterweight is labeled as "3.4 m."3. **Load (m):** - Positioned at the end of the arm on the right side. - The horizontal distance from the vertical tower to the point where the load is attached is "7.7 m."4. **Balance Principle:** - This setup demonstrates the physical principle of torque balance in cranes. - The counterweight helps balance the torque produced by the load to prevent tipping.This diagram serves as an educational tool to illustrate how cranes use balance and leverage to safely lift heavy objects. The image displays two large tower cranes silhouetted against a sunset sky. They are positioned at a construction site, with their long horizontal arms extending outward. The sky behind is a gradient of warm colors transitioning from orange near the horizon to a deeper blue higher up. The silhouettes of buildings and streetlights are faintly visible at the bottom, providing context to the urban setting. These cranes are commonly used in construction for lifting heavy materials to significant heights, crucial for building infrastructure like high-rise buildings.

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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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Part 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.)

Part B

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

The image depicts a conceptual diagram of a crane, focusing on the balance between a counterweight and a load.

**Diagram Breakdown:**

1. **Crane Structure:**
- The crane includes a vertical tower and a horizontal arm.
- The arm extends horizontally and supports a load and a counterweight.

2. **Counterweight (M):**
- Placed on the left side of the horizontal arm.
- The variable "x" represents the distance from the vertical tower to the counterweight.
- The horizontal distance from the vertical tower to the counterweight is labeled as "3.4 m."

3. **Load (m):**
- Positioned at the end of the arm on the right side.
- The horizontal distance from the vertical tower to the point where the load is attached is "7.7 m."

4. **Balance Principle:**
- This setup demonstrates the physical principle of torque balance in cranes.
- The counterweight helps balance the torque produced by the load to prevent tipping.

This diagram serves as an educational tool to illustrate how cranes use balance and leverage to safely lift heavy objects.

The image displays two large tower cranes silhouetted against a sunset sky. They are positioned at a construction site, with their long horizontal arms extending outward. The sky behind is a gradient of warm colors transitioning from orange near the horizon to a deeper blue higher up. The silhouettes of buildings and streetlights are faintly visible at the bottom, providing context to the urban setting. These cranes are commonly used in construction for lifting heavy materials to significant heights, crucial for building infrastructure like high-rise buildings.

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