The plywood sheet shown in the figure below measures 2.0 m x 2.0 m, and each of the four forces the sheet is subjected to has a magnitude of 20.0 N. Use an axis of rotation that is perpendicular to the page and passes through the top left corner of the sheet. Important note about signs: use a positive sign in your answer if the torque is directed clockwise, and negative sign if the torque is directed counterclockwise. F4 F3 F2 F1 (a) Determine the torque due to force F2. N.m (b) Determine the net torque due to all four forces. N.m

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**Torque and Forces on a Plywood Sheet**

The plywood sheet illustrated in the diagram is a square with dimensions of 2.0 m by 2.0 m. It is subjected to four forces, each with a magnitude of 20.0 N. The axis of rotation is perpendicular to the page and intersects at the top left corner of the sheet.

**Diagram Explanation:**
- The sheet is divided by a grid, creating smaller 0.5 m x 0.5 m squares.
- Four forces are applied at different corners:
  - \( F_1 \) acts downward on the bottom left corner.
  - \( F_2 \) acts to the right from the bottom right corner.
  - \( F_3 \) acts to the left from the middle of the right side.
  - \( F_4 \) acts upward from the top right corner.

**Important Note on Signs:**
- Use a positive sign for torque if its direction is clockwise.
- Use a negative sign for torque if its direction is counterclockwise.

**Calculations:**

(a) **Determine the torque due to force \( F_2 \):**

- [Input Box for Torque in N·m]

(b) **Determine the net torque due to all four forces:**

- [Input Box for Net Torque in N·m]
Transcribed Image Text:**Torque and Forces on a Plywood Sheet** The plywood sheet illustrated in the diagram is a square with dimensions of 2.0 m by 2.0 m. It is subjected to four forces, each with a magnitude of 20.0 N. The axis of rotation is perpendicular to the page and intersects at the top left corner of the sheet. **Diagram Explanation:** - The sheet is divided by a grid, creating smaller 0.5 m x 0.5 m squares. - Four forces are applied at different corners: - \( F_1 \) acts downward on the bottom left corner. - \( F_2 \) acts to the right from the bottom right corner. - \( F_3 \) acts to the left from the middle of the right side. - \( F_4 \) acts upward from the top right corner. **Important Note on Signs:** - Use a positive sign for torque if its direction is clockwise. - Use a negative sign for torque if its direction is counterclockwise. **Calculations:** (a) **Determine the torque due to force \( F_2 \):** - [Input Box for Torque in N·m] (b) **Determine the net torque due to all four forces:** - [Input Box for Net Torque in N·m]
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