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MA 2a) Determine the rotational inertia I of the pulley. units? C answer= Check your answer Show solution mB answer= 2b) If we define the ground to be at height h = 0, then what is the total initial energy of this system? Check your answer Show solution answer= Check your answer Show solution solved at least once 2c) What is the total energy of the system (blocks + pulley) right before block B hits the ground? answer= not yet solved Check your answer units? C not yet solved 2d) At what height will block A be, right before block B hits the ground? units? C not yet solved units? C

MA 2a) Determine the rotational inertia I of the pulley. units? C answer= Check your answer Show solution mB answer= 2b) If we define the ground to be at height h = 0, then what is the total initial energy of this system? Check your answer Show solution answer= Check your answer Show solution solved at least once 2c) What is the total energy of the system (blocks + pulley) right before block B hits the ground? answer= not yet solved Check your answer units? C not yet solved 2d) At what height will block A be, right before block B hits the ground? units? C not yet solved units? C

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The image depicts a physics problem involving two blocks, \( m_A \) and \( m_B \), connected by a string over a pulley. Below is a transcription of the questions related to the system: **Diagram Explanation:** - A pulley is shown with a string running over it. - Block \( m_A \) is on the left, and block \( m_B \) is hanging on the right. **Questions:** 2a) Determine the rotational inertia \( I \) of the pulley. - Answer: [Input box] units? - Check your answer [Button: solved at least once] - [Link: Show solution] 2b) If we define the ground to be at height \( h = 0 \), then what is the total initial energy of this system? - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution] 2c) What is the total energy of the system (blocks + pulley) right before block B hits the ground? - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution] 2d) At what height will block A be, right before block B hits the ground? - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution] 2e) Find the speed of block B right before it hits the ground. - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution]
Transcribed Image Text:The image depicts a physics problem involving two blocks, \( m_A \) and \( m_B \), connected by a string over a pulley. Below is a transcription of the questions related to the system: **Diagram Explanation:** - A pulley is shown with a string running over it. - Block \( m_A \) is on the left, and block \( m_B \) is hanging on the right. **Questions:** 2a) Determine the rotational inertia \( I \) of the pulley. - Answer: [Input box] units? - Check your answer [Button: solved at least once] - [Link: Show solution] 2b) If we define the ground to be at height \( h = 0 \), then what is the total initial energy of this system? - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution] 2c) What is the total energy of the system (blocks + pulley) right before block B hits the ground? - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution] 2d) At what height will block A be, right before block B hits the ground? - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution] 2e) Find the speed of block B right before it hits the ground. - Answer: [Input box] units? - Check your answer [Button: not yet solved] - [Link: Show solution]
**Example 2** Two masses, A and B, are connected by a rope that is on top of a pulley (see figure). Block A has a mass of \( m_A = 6.5 \, \text{kg} \) and block B has a mass of \( m_B = 20 \, \text{kg} \). The pulley has a mass of \( M_P = 6.3 \, \text{kg} \) and can rotate without friction on its axis. Treat the pulley as a homogeneous disk of radius \( R_P = 0.7 \, \text{m} \). Initially, block A is resting on the ground while block B is hanging \( H = 11 \, \text{m} \) above the ground. Because of the difference in mass, block B will accelerate down, while block A will move up. At time \( t = 0 \) the system starts to move and block A is lifted off the ground. In this problem use \( g = 9.8 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram illustrates a pulley system with two blocks. Block A (\( m_A \)) is on the left and rests on the ground, while Block B (\( m_B \)) is on the right and hanging. The pulley is depicted as a circular object at the top, over which the rope is looped, connecting the two blocks. **Task 2a:** Determine the rotational inertia \( I \) of the pulley.
Transcribed Image Text:**Example 2** Two masses, A and B, are connected by a rope that is on top of a pulley (see figure). Block A has a mass of \( m_A = 6.5 \, \text{kg} \) and block B has a mass of \( m_B = 20 \, \text{kg} \). The pulley has a mass of \( M_P = 6.3 \, \text{kg} \) and can rotate without friction on its axis. Treat the pulley as a homogeneous disk of radius \( R_P = 0.7 \, \text{m} \). Initially, block A is resting on the ground while block B is hanging \( H = 11 \, \text{m} \) above the ground. Because of the difference in mass, block B will accelerate down, while block A will move up. At time \( t = 0 \) the system starts to move and block A is lifted off the ground. In this problem use \( g = 9.8 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram illustrates a pulley system with two blocks. Block A (\( m_A \)) is on the left and rests on the ground, while Block B (\( m_B \)) is on the right and hanging. The pulley is depicted as a circular object at the top, over which the rope is looped, connecting the two blocks. **Task 2a:** Determine the rotational inertia \( I \) of the pulley.
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2d) At what height will block A be, right before block B hits the ground? - Answer: [input box] units? - Check your answer: not yet solved - Show solution 2e) Find the speed of block B right before it hits the ground. - Answer: [input box] units? - Check your answer: not yet solved - Show solution
Transcribed Image Text:2d) At what height will block A be, right before block B hits the ground? - Answer: [input box] units? - Check your answer: not yet solved - Show solution 2e) Find the speed of block B right before it hits the ground. - Answer: [input box] units? - Check your answer: not yet solved - Show solution
**Example 2** Two masses A and B are connected by a rope that is on top of a pulley (see figure). Block A has a mass of \( m_A = 6.5 \, \text{kg} \) and block B has a mass of \( m_B = 20 \, \text{kg} \). The pulley has a mass of \( M_P = 6.3 \, \text{kg} \) and can rotate without friction on its axis. Treat the pulley as a homogeneous disk of radius \( R_P = 0.7 \, \text{m} \). Initially, block A is resting on the ground while block B is hanging \( H = 11 \, \text{m} \) above the ground. Because of the difference in mass, block B will accelerate down, while block A will move up. At time \( t = 0 \) the system starts to move and block A is lifted off the ground. In this problem use \( g = 9.8 \, \text{m/s}^2 \). **Diagram Explanation:** The image includes a simple pulley system. The pulley is mounted at the top, with a rope passing over it. Suspended from the rope are two blocks, \( m_A \) on the left and \( m_B \) on the right. Block \( m_A \) rests on the ground, while block \( m_B \) is hanging in the air. **Question:** 2a) Determine the rotational inertia \( I \) of the pulley.
Transcribed Image Text:**Example 2** Two masses A and B are connected by a rope that is on top of a pulley (see figure). Block A has a mass of \( m_A = 6.5 \, \text{kg} \) and block B has a mass of \( m_B = 20 \, \text{kg} \). The pulley has a mass of \( M_P = 6.3 \, \text{kg} \) and can rotate without friction on its axis. Treat the pulley as a homogeneous disk of radius \( R_P = 0.7 \, \text{m} \). Initially, block A is resting on the ground while block B is hanging \( H = 11 \, \text{m} \) above the ground. Because of the difference in mass, block B will accelerate down, while block A will move up. At time \( t = 0 \) the system starts to move and block A is lifted off the ground. In this problem use \( g = 9.8 \, \text{m/s}^2 \). **Diagram Explanation:** The image includes a simple pulley system. The pulley is mounted at the top, with a rope passing over it. Suspended from the rope are two blocks, \( m_A \) on the left and \( m_B \) on the right. Block \( m_A \) rests on the ground, while block \( m_B \) is hanging in the air. **Question:** 2a) Determine the rotational inertia \( I \) of the pulley.
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