The sphere with mass m = 40 kg rolls down the inclined plane of angle = 33 without slipping. Determine the linear acceleration of its mass center point G (in m/s2). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². 0.15 m G Your Answer:

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

The sphere with mass \( m = 40 \, \text{kg} \) rolls down the inclined plane of angle \( \theta = 33^\circ \) without slipping. Determine the linear acceleration of its mass center point \( G \) (in \( \text{m/s}^2 \)). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \).

**Diagram Explanation:**

The diagram shows a sphere with a radius of \( 0.15 \, \text{m} \), labeled with point \( G \) at its center. The sphere is on an inclined plane, which forms an angle \( \theta = 33^\circ \) with the horizontal. A point \( A \) is marked at the contact point of the sphere and the inclined plane.

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- Your Answer: [Input box for the user to enter their calculated answer]
- Answer [Button to submit the answer]
Transcribed Image Text:**Problem Statement:** The sphere with mass \( m = 40 \, \text{kg} \) rolls down the inclined plane of angle \( \theta = 33^\circ \) without slipping. Determine the linear acceleration of its mass center point \( G \) (in \( \text{m/s}^2 \)). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take \( g = 9.81 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram shows a sphere with a radius of \( 0.15 \, \text{m} \), labeled with point \( G \) at its center. The sphere is on an inclined plane, which forms an angle \( \theta = 33^\circ \) with the horizontal. A point \( A \) is marked at the contact point of the sphere and the inclined plane. **Input Section:** - Your Answer: [Input box for the user to enter their calculated answer] - Answer [Button to submit the answer]
**Problem Statement:**

The sphere with mass \( m = 30 \, \text{kg} \) rolls down the inclined plane of angle \( \theta = 20^\circ \) without slipping. Determine its mass moment of inertia \( I_A \) (in kg·m\(^2\)) about the axis that passes point \( A \) and is perpendicular to the screen. Please pay attention: the **numbers may change** since they are randomized. Your answer must include 3 places after the decimal point.

**Diagram Explanation:**

- The diagram shows a sphere with a radius of \( 0.15 \, \text{m} \), marked with a point \( G \) at its center.
- The sphere is located on an inclined plane, which forms an angle \( \theta \) of \( 20^\circ \) with the horizontal.
- Point \( A \) is located at the point where the sphere contacts the inclined plane.
- The angular relationship and dimensions are clearly labeled, showing the interaction between the sphere's center of mass \( G \), the angle \( \theta \), and the point of contact \( A \).

**Input Field:**

- Your Answer: [Input Box]

- [Submit Button: Answer]
Transcribed Image Text:**Problem Statement:** The sphere with mass \( m = 30 \, \text{kg} \) rolls down the inclined plane of angle \( \theta = 20^\circ \) without slipping. Determine its mass moment of inertia \( I_A \) (in kg·m\(^2\)) about the axis that passes point \( A \) and is perpendicular to the screen. Please pay attention: the **numbers may change** since they are randomized. Your answer must include 3 places after the decimal point. **Diagram Explanation:** - The diagram shows a sphere with a radius of \( 0.15 \, \text{m} \), marked with a point \( G \) at its center. - The sphere is located on an inclined plane, which forms an angle \( \theta \) of \( 20^\circ \) with the horizontal. - Point \( A \) is located at the point where the sphere contacts the inclined plane. - The angular relationship and dimensions are clearly labeled, showing the interaction between the sphere's center of mass \( G \), the angle \( \theta \), and the point of contact \( A \). **Input Field:** - Your Answer: [Input Box] - [Submit Button: Answer]
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