G 0.1 m 0.3 m The pendulum shown consists of a slender rod with mass per unit length of 2.8 kg/m, and a thin plate with mass per unit area of 10.0 kg/m². In the figure, L = 1.7 m.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A. What is the distance from point O to the pendulum's mass center, G? (include units with answer)

B. What is the pendulum's moment of inertia about an axis perpendicular to the screen and passing through point G? (include units with answer)

C. What is the pendulum's moment of inertia about an axis perpendicular to the screen and passing through point O? (include units with answer)
Transcribed Image Text:A. What is the distance from point O to the pendulum's mass center, G? (include units with answer) B. What is the pendulum's moment of inertia about an axis perpendicular to the screen and passing through point G? (include units with answer) C. What is the pendulum's moment of inertia about an axis perpendicular to the screen and passing through point O? (include units with answer)
**Diagram Description:**

The diagram illustrates a pendulum consisting of a slender rod and a thin plate. Key elements of the diagram include:

- **Rod**: Extends vertically from point O at the top to point A at the bottom, with length denoted as \( L \).
- **Length \( L \)**: Given as \( 1.7 \, \text{m} \).
- **Mass per Unit Length**: Rod has a mass per unit length of \( 2.8 \, \text{kg/m} \).
- **Plate**: A thin plate attached at point A, shown as a circular disk.
- **Mass per Unit Area**: Plate has a mass per unit area of \( 10.0 \, \text{kg/m}^2 \).
- **Plate Dimensions**: 
  - Inner radius is shown as \( 0.1 \, \text{m} \).
  - Outer radius is \( 0.3 \, \text{m} \).

**Associated Labels:**

- \( O \): Top pivot point of the pendulum.
- \( A \): Base connection point of the rod and plate.
- \( G \): Center of mass of the plate.
- \( y \): Vertical axis marked along the length of the rod.

**Image Caption:** 

The pendulum shown consists of a slender rod with mass per unit length of \( 2.8 \, \text{kg/m} \), and a thin plate with mass per unit area of \( 10.0 \, \text{kg/m}^2 \). In the figure, \( L = 1.7 \, \text{m} \).
Transcribed Image Text:**Diagram Description:** The diagram illustrates a pendulum consisting of a slender rod and a thin plate. Key elements of the diagram include: - **Rod**: Extends vertically from point O at the top to point A at the bottom, with length denoted as \( L \). - **Length \( L \)**: Given as \( 1.7 \, \text{m} \). - **Mass per Unit Length**: Rod has a mass per unit length of \( 2.8 \, \text{kg/m} \). - **Plate**: A thin plate attached at point A, shown as a circular disk. - **Mass per Unit Area**: Plate has a mass per unit area of \( 10.0 \, \text{kg/m}^2 \). - **Plate Dimensions**: - Inner radius is shown as \( 0.1 \, \text{m} \). - Outer radius is \( 0.3 \, \text{m} \). **Associated Labels:** - \( O \): Top pivot point of the pendulum. - \( A \): Base connection point of the rod and plate. - \( G \): Center of mass of the plate. - \( y \): Vertical axis marked along the length of the rod. **Image Caption:** The pendulum shown consists of a slender rod with mass per unit length of \( 2.8 \, \text{kg/m} \), and a thin plate with mass per unit area of \( 10.0 \, \text{kg/m}^2 \). In the figure, \( L = 1.7 \, \text{m} \).
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