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:
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
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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.
**Input Section:**
- Your Answer: [Input box for the user to enter their calculated answer]
- Answer [Button to submit the answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68c64179-2228-4f9e-841e-aed740ee5002%2Fa0b39500-c235-411c-9adc-d28f1300ceb1%2Fhwb1ft7_processed.jpeg&w=3840&q=75)
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68c64179-2228-4f9e-841e-aed740ee5002%2Fa0b39500-c235-411c-9adc-d28f1300ceb1%2Ff643at8_processed.jpeg&w=3840&q=75)
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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