Select the examples below that have a net torque of zero about the axis perpendicular to the page and extending from the center U 2F F 45 > 3F 3F 2F/

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Chapter1: Units, Trigonometry. And Vectors
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A circular air hockey puck of radius r slides across a frictionless air hockey table and is subjected to several forces as shown below. The magnitude and direction of each force is given. Forces are applied at either the center of mass of the puck, the outer edge (a distance r from the center), or a distance halfway (r/2) between the center and the outer edge.

**Title: Understanding Net Torque: Identifying Zero Torque Scenarios**

**Introduction:**
In this educational example, we explore how different forces applied at various radii affect torque around a central axis perpendicular to the page. The goal is to identify scenarios where the net torque is zero.

**Diagram Description:**

- **Top Left Diagram:**
  - A circle is divided by a vertical diameter.
  - A force \(2F\) is applied to the left at a radius \(r/2\).
  - A force \(F\) is applied to the right at a radius \(r\).
  - The checkbox is selected, indicating zero net torque.

- **Top Middle Diagram:**
  - A circle is divided by a horizontal diameter.
  - Forces \(F\) are applied to the left and right at the same radius \(r\).
  - The checkbox is not selected, indicating non-zero net torque.

- **Top Right Diagram:**
  - A circle is divided by a vertical diameter.
  - A force \(3F\) is applied to the left at a radius \(r\).
  - A force \(2F\) is applied to the right at a radius \(r/2\).
  - The checkbox is selected, indicating zero net torque.

- **Bottom Left Diagram:**
  - A circle is divided by a vertical diameter.
  - Forces \(F\) are applied to both the left and right at the same radius \(r\).
  - The checkbox is not selected, indicating non-zero net torque.

- **Bottom Right Diagram:**
  - The diagram is blank.

**Conclusion:**
The top left and top right diagrams represent scenarios where the applied forces result in a net torque of zero about the central axis. Understanding these configurations helps in analyzing torque equilibrium in mechanical systems.
Transcribed Image Text:**Title: Understanding Net Torque: Identifying Zero Torque Scenarios** **Introduction:** In this educational example, we explore how different forces applied at various radii affect torque around a central axis perpendicular to the page. The goal is to identify scenarios where the net torque is zero. **Diagram Description:** - **Top Left Diagram:** - A circle is divided by a vertical diameter. - A force \(2F\) is applied to the left at a radius \(r/2\). - A force \(F\) is applied to the right at a radius \(r\). - The checkbox is selected, indicating zero net torque. - **Top Middle Diagram:** - A circle is divided by a horizontal diameter. - Forces \(F\) are applied to the left and right at the same radius \(r\). - The checkbox is not selected, indicating non-zero net torque. - **Top Right Diagram:** - A circle is divided by a vertical diameter. - A force \(3F\) is applied to the left at a radius \(r\). - A force \(2F\) is applied to the right at a radius \(r/2\). - The checkbox is selected, indicating zero net torque. - **Bottom Left Diagram:** - A circle is divided by a vertical diameter. - Forces \(F\) are applied to both the left and right at the same radius \(r\). - The checkbox is not selected, indicating non-zero net torque. - **Bottom Right Diagram:** - The diagram is blank. **Conclusion:** The top left and top right diagrams represent scenarios where the applied forces result in a net torque of zero about the central axis. Understanding these configurations helps in analyzing torque equilibrium in mechanical systems.
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