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A uniform plank of length 2.00 m and mass 26.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 710–N person is d = 0.500 m from the left end. Answer the 3 boxes below:

A uniform plank of length 2.00 m and mass 26.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 710–N person is d = 0.500 m from the left end. Answer the 3 boxes below:

College Physics
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 uniform plank of length 2.00 m and mass 26.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 710–N person is d = 0.500 m from the left end. Answer the 3 boxes below: 

### Problem Statement: Calculate the Magnitude of Tension Forces #### Question: Determine the magnitudes of the tension forces T1, T2, and T3 in Newtons (N). - Magnitude of \(\vec{T_1}\): _______ N - Magnitude of \(\vec{T_2}\): _______ N - Magnitude of \(\vec{T_3}\): _______ N #### Diagram Description: The accompanying diagram shows a person standing on a horizontal platform suspended by three tension forces (\(\vec{T_1}\), \(\vec{T_2}\), and \(\vec{T_3}\)). **Diagram Explanation:** - **Tension Force \(\vec{T_1}\)**: - This force is inclined at an angle of 40.0° to the horizontal. - The direction of \(\vec{T_1}\) is upwards and to the right. - **Tension Force \(\vec{T_2}\)**: - This force is directed vertically upwards from the platform at the point where the person is standing. - **Tension Force \(\vec{T_3}\)**: - This force is directed horizontally to the left from the point where the person is standing. **Dimensions and Distances:** - The horizontal distance from the base of \(\vec{T_1}\) to the point where \(\vec{T_3}\) acts is 2.00 meters. - A distance \(d\) is indicated underneath \(\vec{T_2}\) representing the horizontal distance from \(\vec{T_3}\) to the point directly beneath the person. **Important Considerations:** - The person is standing at a specific point on the platform. - The platform is in equilibrium, so the sum of forces and moments around any point should be zero. Use this information and diagram to solve for the magnitudes of \(\vec{T_1}\), \(\vec{T_2}\), and \(\vec{T_3}\).
Transcribed Image Text:### Problem Statement: Calculate the Magnitude of Tension Forces #### Question: Determine the magnitudes of the tension forces T1, T2, and T3 in Newtons (N). - Magnitude of \(\vec{T_1}\): _______ N - Magnitude of \(\vec{T_2}\): _______ N - Magnitude of \(\vec{T_3}\): _______ N #### Diagram Description: The accompanying diagram shows a person standing on a horizontal platform suspended by three tension forces (\(\vec{T_1}\), \(\vec{T_2}\), and \(\vec{T_3}\)). **Diagram Explanation:** - **Tension Force \(\vec{T_1}\)**: - This force is inclined at an angle of 40.0° to the horizontal. - The direction of \(\vec{T_1}\) is upwards and to the right. - **Tension Force \(\vec{T_2}\)**: - This force is directed vertically upwards from the platform at the point where the person is standing. - **Tension Force \(\vec{T_3}\)**: - This force is directed horizontally to the left from the point where the person is standing. **Dimensions and Distances:** - The horizontal distance from the base of \(\vec{T_1}\) to the point where \(\vec{T_3}\) acts is 2.00 meters. - A distance \(d\) is indicated underneath \(\vec{T_2}\) representing the horizontal distance from \(\vec{T_3}\) to the point directly beneath the person. **Important Considerations:** - The person is standing at a specific point on the platform. - The platform is in equilibrium, so the sum of forces and moments around any point should be zero. Use this information and diagram to solve for the magnitudes of \(\vec{T_1}\), \(\vec{T_2}\), and \(\vec{T_3}\).
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