### Physics Problem: Tension in Ropes Supporting a Plank#### Problem Statement:A uniform plank of length 2.00 m and mass 31.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. The plank is subjected to a load from a person weighing 690 N standing at a distance \( d = 0.500 \, \text{m} \) from the left end.#### Tasks:Find the tension in each rope:- Magnitude of \( T_1 \): ______ N- Magnitude of \( T_2 \): ______ N- Magnitude of \( T_3 \): ______ N#### Diagram Description:- The plank is horizontally positioned with a length of 2.00 m.- A person is depicted standing 0.5 m from the left end.- Three tension forces (ropes) are depicted: - \( T_1 \) is vertically upward at the left end. - \( T_2 \) is vertically upward at the center, where the person is standing. - \( T_3 \) is at an angle of 10.0° to the right, presumably attached to the right end of the plank.The diagram includes the angles and distances, showing how these forces balance the weight of the plank and the person. Analyzing the forces and moments will allow the calculation of tensions \( T_1 \), \( T_2 \), and \( T_3 \).

A uniform plank of length 2.00 m and mass 31.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 690-N person is d= 0.500 m from the left end. magnitude of T magnitude of T₂ magnitude of T 7₁-44 N N N -2.00 m- T₁ 40.0⁰

A uniform plank of length 2.00 m and mass 31.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 690-N person is d= 0.500 m from the left end. magnitude of T magnitude of T₂ magnitude of T 7₁-44 N N N -2.00 m- T₁ 40.0⁰

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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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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

### Physics Problem: Tension in Ropes Supporting a Plank

#### Problem Statement:
A uniform plank of length 2.00 m and mass 31.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. The plank is subjected to a load from a person weighing 690 N standing at a distance \( d = 0.500 \, \text{m} \) from the left end.

#### Tasks:
Find the tension in each rope:

- Magnitude of \( T_1 \): ______ N
- Magnitude of \( T_2 \): ______ N
- Magnitude of \( T_3 \): ______ N

#### Diagram Description:

- The plank is horizontally positioned with a length of 2.00 m.
- A person is depicted standing 0.5 m from the left end.
- Three tension forces (ropes) are depicted:
- \( T_1 \) is vertically upward at the left end.
- \( T_2 \) is vertically upward at the center, where the person is standing.
- \( T_3 \) is at an angle of 10.0° to the right, presumably attached to the right end of the plank.

The diagram includes the angles and distances, showing how these forces balance the weight of the plank and the person. Analyzing the forces and moments will allow the calculation of tensions \( T_1 \), \( T_2 \), and \( T_3 \).

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