B 0.500 m 0.400 m T 0.200 m d A 0.300 m
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Transcribed Image Text:This diagram illustrates a mechanical setup involving a block, a pulley, and a suspended weight. Here's a detailed explanation of the components and their arrangement:
1. **Block A**:
- Positioned on a surface, Block A has dimensions specified in the diagram.
- The height of Block A is 0.300 meters.
- The length extends by a variable distance denoted as \(d\).
2. **Pulley System**:
- A pulley, labeled as point B, is fixed above Block A.
- The string runs over the pulley, connecting Block A and the weight C.
3. **Measurements**:
- The vertical distance from the top of Block A to the pulley is 0.500 meters.
- The horizontal distance from Block A to the point directly under the pulley is 0.400 meters.
- A portion of Block A extends 0.200 meters horizontally from the pulley’s vertical line.
4. **Weight C**:
- Suspended at the end of the string, positioned vertically below the pulley.
- The setup allows for gravitational forces to act on Weight C, influencing Block A’s movement.
This setup is typically used to examine the principles of mechanics, including tension, gravitational force, and motion dynamics. In educational contexts, understanding this configuration can help illustrate the interplay between different physical forces.
![Block A has a mass of \( m_A = 50.0 \, \text{kg} \) and rests on a flat surface. (Figure 3) The coefficient of static friction between the block and the surface is \( \mu_A = 0.300 \). The coefficient of static friction between the rope and the fixed peg B is 0.350. The width of the block is \( d = 0.200 \, \text{m} \). Find the greatest mass, \( m_C \), that weight C can have such that block A does not move.
**Express your answer numerically in kilograms to three significant figures.**
- View Available Hint(s)
\[ m_C = \, \text{_______} \, \text{kg} \]
**Explanation:**
This problem involves determining the maximum static friction force that can occur between two surfaces and subsequently finding the maximum mass that will keep block A stationary. The key elements are the mass of block A, the coefficients of static friction, and the dimensions of the block.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5fc9088-6d0a-4312-bffe-77961b56b51f%2F8fcc4dab-0538-4ebe-a151-df91fa177287%2F5xbj3a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Block A has a mass of \( m_A = 50.0 \, \text{kg} \) and rests on a flat surface. (Figure 3) The coefficient of static friction between the block and the surface is \( \mu_A = 0.300 \). The coefficient of static friction between the rope and the fixed peg B is 0.350. The width of the block is \( d = 0.200 \, \text{m} \). Find the greatest mass, \( m_C \), that weight C can have such that block A does not move.
**Express your answer numerically in kilograms to three significant figures.**
- View Available Hint(s)
\[ m_C = \, \text{_______} \, \text{kg} \]
**Explanation:**
This problem involves determining the maximum static friction force that can occur between two surfaces and subsequently finding the maximum mass that will keep block A stationary. The key elements are the mass of block A, the coefficients of static friction, and the dimensions of the block.
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