**Problem Statement:** 3. Two blocks with unequal masses, \( M \) and \( m \) (\( M > m \)), are connected by a light, very long string passing over a pulley of negligible mass, as shown in the figure, and then released. Friction is negligible. a. If one of your classmates calculated that once released, the acceleration of the blocks would be \(\frac{g}{4}\), without doing any calculations, say whether or not this could be a reasonable value for the acceleration. b. Draw and label a free body diagram (FBD) for each block. Be sure your drawings show clearly any information you have about the directions and relative magnitudes of the forces. Rank the relative magnitudes of all forces on your FBDs, looking for a single ranking that includes every different force drawn and labeled in both FBDs, separated by \(<\), \(>\), or \(=\). - **Heavy Block:** _\[Heavy Block\]_ - **Light Block:** _\[Light Block\]_ **Diagram Explanation:** The image includes a diagram with two blocks connected by a string over a pulley. The block on the left is labeled \(M\) (heavy block) and the block on the right is labeled \(m\) (light block). The diagram illustrates the setup for analyzing the forces acting on each block. To address the problem, students are instructed to determine if the given acceleration \(\frac{g}{4}\) is plausible based on the system setup, and then illustrate and compare the forces in a free body diagram for each block. The relative magnitudes of the forces should be ranked in the answer.
**Problem Statement:** 3. Two blocks with unequal masses, \( M \) and \( m \) (\( M > m \)), are connected by a light, very long string passing over a pulley of negligible mass, as shown in the figure, and then released. Friction is negligible. a. If one of your classmates calculated that once released, the acceleration of the blocks would be \(\frac{g}{4}\), without doing any calculations, say whether or not this could be a reasonable value for the acceleration. b. Draw and label a free body diagram (FBD) for each block. Be sure your drawings show clearly any information you have about the directions and relative magnitudes of the forces. Rank the relative magnitudes of all forces on your FBDs, looking for a single ranking that includes every different force drawn and labeled in both FBDs, separated by \(<\), \(>\), or \(=\). - **Heavy Block:** _\[Heavy Block\]_ - **Light Block:** _\[Light Block\]_ **Diagram Explanation:** The image includes a diagram with two blocks connected by a string over a pulley. The block on the left is labeled \(M\) (heavy block) and the block on the right is labeled \(m\) (light block). The diagram illustrates the setup for analyzing the forces acting on each block. To address the problem, students are instructed to determine if the given acceleration \(\frac{g}{4}\) is plausible based on the system setup, and then illustrate and compare the forces in a free body diagram for each block. The relative magnitudes of the forces should be ranked in the answer.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter11: Collisions
Section: Chapter Questions
Problem 45PQ
Related questions
Question
![**Problem Statement:**
3. Two blocks with unequal masses, \( M \) and \( m \) (\( M > m \)), are connected by a light, very long string passing over a pulley of negligible mass, as shown in the figure, and then released. Friction is negligible.
a. If one of your classmates calculated that once released, the acceleration of the blocks would be \(\frac{g}{4}\), without doing any calculations, say whether or not this could be a reasonable value for the acceleration.
b. Draw and label a free body diagram (FBD) for each block. Be sure your drawings show clearly any information you have about the directions and relative magnitudes of the forces. Rank the relative magnitudes of all forces on your FBDs, looking for a single ranking that includes every different force drawn and labeled in both FBDs, separated by \(<\), \(>\), or \(=\).
- **Heavy Block:**
_\[Heavy Block\]_
- **Light Block:**
_\[Light Block\]_
**Diagram Explanation:**
The image includes a diagram with two blocks connected by a string over a pulley. The block on the left is labeled \(M\) (heavy block) and the block on the right is labeled \(m\) (light block). The diagram illustrates the setup for analyzing the forces acting on each block.
To address the problem, students are instructed to determine if the given acceleration \(\frac{g}{4}\) is plausible based on the system setup, and then illustrate and compare the forces in a free body diagram for each block. The relative magnitudes of the forces should be ranked in the answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18608e9e-bffe-4b38-84b4-3b337a037743%2F8bf150a5-5c05-4df5-bb92-5ab7459bf02d%2F9s47p2u.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
3. Two blocks with unequal masses, \( M \) and \( m \) (\( M > m \)), are connected by a light, very long string passing over a pulley of negligible mass, as shown in the figure, and then released. Friction is negligible.
a. If one of your classmates calculated that once released, the acceleration of the blocks would be \(\frac{g}{4}\), without doing any calculations, say whether or not this could be a reasonable value for the acceleration.
b. Draw and label a free body diagram (FBD) for each block. Be sure your drawings show clearly any information you have about the directions and relative magnitudes of the forces. Rank the relative magnitudes of all forces on your FBDs, looking for a single ranking that includes every different force drawn and labeled in both FBDs, separated by \(<\), \(>\), or \(=\).
- **Heavy Block:**
_\[Heavy Block\]_
- **Light Block:**
_\[Light Block\]_
**Diagram Explanation:**
The image includes a diagram with two blocks connected by a string over a pulley. The block on the left is labeled \(M\) (heavy block) and the block on the right is labeled \(m\) (light block). The diagram illustrates the setup for analyzing the forces acting on each block.
To address the problem, students are instructed to determine if the given acceleration \(\frac{g}{4}\) is plausible based on the system setup, and then illustrate and compare the forces in a free body diagram for each block. The relative magnitudes of the forces should be ranked in the answer.
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