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CM4: A 58 kg circus performer hangs from a bar suspended from a ceiling as shown in the figure. If the bar masses 12 kg (and its weight acts at its center) and has a length of 1.4 m, what is the tension T₂ in the rope? The rope is attached 0.85 m along the bar.

CM4: A 58 kg circus performer hangs from a bar suspended from a ceiling as shown in the figure. If the bar masses 12 kg (and its weight acts at its center) and has a length of 1.4 m, what is the tension T₂ in the rope? The rope is attached 0.85 m along the bar.

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 CM4:** A 58 kg circus performer hangs from a bar suspended from a ceiling as shown in the figure. If the bar has a mass of 12 kg (and its weight acts at its center) and has a length of 1.4 m, what is the tension \( T_2 \) in the rope? The rope is attached 0.85 m along the bar. **Diagram Explanation:** - The diagram shows a horizontal bar with a circus performer hanging from the end. - The bar is supported by two forces: \( T_1 \) and \( T_2 \). - \( T_1 \) is the force exerted by the ceiling on the rope, directed upwards. - \( T_2 \) is the tension in the rope, making an angle of 50 degrees with the bar. - The center of mass of the bar is shown, indicating where the weight of the bar acts. **Given Data:** - Mass of performer: 58 kg - Mass of bar: 12 kg - Length of bar: 1.4 m - Attachment point of rope along the bar: 0.85 m from the pivot - Angle of tension \( T_2 \): 50 degrees The task is to calculate the tension \( T_2 \) in the rope using statics principles and the given conditions.
Transcribed Image Text:**Problem CM4:** A 58 kg circus performer hangs from a bar suspended from a ceiling as shown in the figure. If the bar has a mass of 12 kg (and its weight acts at its center) and has a length of 1.4 m, what is the tension \( T_2 \) in the rope? The rope is attached 0.85 m along the bar. **Diagram Explanation:** - The diagram shows a horizontal bar with a circus performer hanging from the end. - The bar is supported by two forces: \( T_1 \) and \( T_2 \). - \( T_1 \) is the force exerted by the ceiling on the rope, directed upwards. - \( T_2 \) is the tension in the rope, making an angle of 50 degrees with the bar. - The center of mass of the bar is shown, indicating where the weight of the bar acts. **Given Data:** - Mass of performer: 58 kg - Mass of bar: 12 kg - Length of bar: 1.4 m - Attachment point of rope along the bar: 0.85 m from the pivot - Angle of tension \( T_2 \): 50 degrees The task is to calculate the tension \( T_2 \) in the rope using statics principles and the given conditions.
Expert Solution
Step 1

Given data,

Mass of performer M=58 kg

Mass of rod m=12 kg

Length of bar L=1.4 m

Length of rope L'=0.85 m

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