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A 205 N sign is supported by two ropes. One rope pulls up and to the right 01 = 31.5' above the horizontal with a tension T1, and the other rope pulls up and to the left 02 = 43.5° above the horizontal with a tension T2, as shown T in the figure. Find the tensions T1 and Tz. EXIT T = 139 N Incorrect T = 162.5 N Incorrect

A 205 N sign is supported by two ropes. One rope pulls up and to the right 01 = 31.5' above the horizontal with a tension T1, and the other rope pulls up and to the left 02 = 43.5° above the horizontal with a tension T2, as shown T in the figure. Find the tensions T1 and Tz. EXIT T = 139 N Incorrect T = 162.5 N Incorrect

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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**Problem Statement:** A 205 N sign is supported by two ropes. One rope pulls up and to the right at an angle \(\theta_1 = 31.5^\circ\) above the horizontal with a tension \(T_1\), and the other rope pulls up and to the left at an angle \(\theta_2 = 43.5^\circ\) above the horizontal with a tension \(T_2\), as shown in the figure. Find the tensions \(T_1\) and \(T_2\). **User Input:** - \(T_1 = 139 \, \text{N}\) (Incorrect) - \(T_2 = 162.5 \, \text{N}\) (Incorrect) **Diagram Explanation:** The diagram shows an "EXIT" sign suspended by two ropes connected to a common point above the sign. - The rope on the right creates an angle \(\theta_1 = 31.5^\circ\) with the horizontal and has a tension \(T_1\) represented by an orange arrow pointing upwards and to the right. - The rope on the left creates an angle \(\theta_2 = 43.5^\circ\) with the horizontal and has a tension \(T_2\) represented by a purple arrow pointing upwards and to the left. Both tensions combine to support the weight of the sign, which is 205 N.
Transcribed Image Text:**Problem Statement:** A 205 N sign is supported by two ropes. One rope pulls up and to the right at an angle \(\theta_1 = 31.5^\circ\) above the horizontal with a tension \(T_1\), and the other rope pulls up and to the left at an angle \(\theta_2 = 43.5^\circ\) above the horizontal with a tension \(T_2\), as shown in the figure. Find the tensions \(T_1\) and \(T_2\). **User Input:** - \(T_1 = 139 \, \text{N}\) (Incorrect) - \(T_2 = 162.5 \, \text{N}\) (Incorrect) **Diagram Explanation:** The diagram shows an "EXIT" sign suspended by two ropes connected to a common point above the sign. - The rope on the right creates an angle \(\theta_1 = 31.5^\circ\) with the horizontal and has a tension \(T_1\) represented by an orange arrow pointing upwards and to the right. - The rope on the left creates an angle \(\theta_2 = 43.5^\circ\) with the horizontal and has a tension \(T_2\) represented by a purple arrow pointing upwards and to the left. Both tensions combine to support the weight of the sign, which is 205 N.
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