A "swing" ride at a carnival consists of chairs that are swung in a circle by L = 15.8 m cables attached at an angle of θ = 57.4° to a vertical rotating pole, as the drawing below shows. Suppose the total mass of a chair and its occupant is 161 kg. Calculate the tension in the cable attached to the chair. The image depicts a conical pendulum. In this diagram:- A pendulum is shown rotating in a horizontal circle. - The pendulum consists of a mass attached to a string of length \( L \).- The string makes an angle \( \theta \) with the vertical axis.- The rotation forms a cone-like shape, hence the name "conical pendulum."- The circular path of the mass is highlighted with a dashed red circle representing the orbit.This setup is often used in physics to study rotational motion and forces, involving concepts like tension, gravity, centripetal force, and angular velocity.

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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 "swing" ride at a carnival consists of chairs that are swung in a circle by L = 15.8 m cables attached at an angle of θ = 57.4° to a vertical rotating pole, as the drawing below shows. Suppose the total mass of a chair and its occupant is 161 kg. Calculate the tension in the cable attached to the chair.

The image depicts a conical pendulum. In this diagram:

- A pendulum is shown rotating in a horizontal circle.
- The pendulum consists of a mass attached to a string of length \( L \).
- The string makes an angle \( \theta \) with the vertical axis.
- The rotation forms a cone-like shape, hence the name "conical pendulum."
- The circular path of the mass is highlighted with a dashed red circle representing the orbit.

This setup is often used in physics to study rotational motion and forces, involving concepts like tension, gravity, centripetal force, and angular velocity.

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