**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 degreesThe task is to calculate the tension $ T_2 $ in the rope using statics principles and the given conditions.

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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 40PQ

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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

**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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