Two blocks are connected by a massless rope as shown below. The mass of the block on the table is 4.5 kg and the hanging mass is 1.6 kg. The table and the pulley are frictionless. (g) Find the speed with which the hanging mass hits the floor if it starts from rest and is initially located 1.3 m from the floor.
Two blocks are connected by a massless rope as shown below. The mass of the block on the table is 4.5 kg and the hanging mass is 1.6 kg. The table and the pulley are frictionless. (g) Find the speed with which the hanging mass hits the floor if it starts from rest and is initially located 1.3 m from the floor.
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Two blocks are connected by a massless rope as shown below. The mass of the block on the table is 4.5 kg and the hanging mass is 1.6 kg. The table and the pulley are frictionless.
(g) Find the speed with which the hanging mass hits the floor if it starts from rest and is initially located 1.3 m from the floor.
- The diagram shows two blocks connected by a rope. Block \(m_1\) is on a table, while block \(m_2\) is hanging off the side. The rope passes over a pulley.
- An arrow (\(\vec{a}_1\)) indicates the direction of acceleration for \(m_1\) along the table to the right.
- Another arrow (\(\vec{a}_2\)) indicates the direction of acceleration for \(m_2\) downward.
**Task:**
(a) In your notebook, draw a free body diagram of \(m_1\) and \(m_2\) using the template as shown below. The forces acting on the system are the weights of the blocks, \(m_1g\) and \(m_2g\), the tension in the string \(T\), and the normal reaction \(N_1\) of the table on \(m_1\).
**Coordinate Axes:**
- A coordinate system is provided with:
- The y-axis pointing upwards.
- The x-axis pointing to the right.
**Free Body Diagram Template:**
- Symbols \(m_1\) and \(m_2\) are used to represent the blocks in the free body diagram.
---
**Explanation for Graphs/Diagrams:**
The diagram illustrates a typical physics problem involving a pulley system with two masses. The emphasis is on visualizing the forces acting on each block, understanding acceleration directions, and analyzing the system dynamics using Newton's laws. Drawing the free body diagrams helps in applying these concepts to solve for unknowns like tension and acceleration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe12e5cd-e451-4d34-8110-b6d444fb2efb%2F865bcc49-7f48-4b1c-a96a-4ac165e85eca%2Fjl2s85_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
1. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is 4.5 kg and the hanging mass is 1.6 kg. The table and the pulley are frictionless.
- The diagram shows two blocks connected by a rope. Block \(m_1\) is on a table, while block \(m_2\) is hanging off the side. The rope passes over a pulley.
- An arrow (\(\vec{a}_1\)) indicates the direction of acceleration for \(m_1\) along the table to the right.
- Another arrow (\(\vec{a}_2\)) indicates the direction of acceleration for \(m_2\) downward.
**Task:**
(a) In your notebook, draw a free body diagram of \(m_1\) and \(m_2\) using the template as shown below. The forces acting on the system are the weights of the blocks, \(m_1g\) and \(m_2g\), the tension in the string \(T\), and the normal reaction \(N_1\) of the table on \(m_1\).
**Coordinate Axes:**
- A coordinate system is provided with:
- The y-axis pointing upwards.
- The x-axis pointing to the right.
**Free Body Diagram Template:**
- Symbols \(m_1\) and \(m_2\) are used to represent the blocks in the free body diagram.
---
**Explanation for Graphs/Diagrams:**
The diagram illustrates a typical physics problem involving a pulley system with two masses. The emphasis is on visualizing the forces acting on each block, understanding acceleration directions, and analyzing the system dynamics using Newton's laws. Drawing the free body diagrams helps in applying these concepts to solve for unknowns like tension and acceleration.
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