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15. Draw free body diagrams and write Newton's 2nd Law along axes for each. (a) y X m e P

15. Draw free body diagrams and write Newton's 2nd Law along axes for each. (a) y X m e P

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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**Problem 15: Free Body Diagrams and Newton’s Second Law** **Part (a):** - **Description:** A block of mass \( m \) is on a horizontal surface. The block has an inclined force \( \vec{P} \) acting at an angle \( \theta \) from the horizontal. The system is described using a coordinate system with axes labeled \( x \) (horizontal) and \( y \) (vertical). - **Task:** Draw the free body diagram for the block and apply Newton’s second law along the \( x \) and \( y \) axes. **Part (b):** - **Description:** Two blocks are in contact, where block \( m_1 \) is adjacent to block \( m_2 \). A force \( \vec{F} \) is applied horizontally on \( m_1 \). - **Task:** Draw free body diagrams considering each block individually as a system and then treat the combination as a single system. This will result in three separate free body diagrams. **Part (c):** - **Description:** Block \( m_1 \) is on a surface and connected to block \( m_2 \) via a pulley system. The second block \( m_2 \) is hanging vertically. Axes are labeled \( a_1 \) (horizontal acceleration of \( m_1 \)) and \( a_2 \) (vertical acceleration of \( m_2 \)). - **Task:** Draw the necessary free body diagrams to analyze the system. These tasks involve identifying forces such as tension, gravity, normal force, and friction where applicable, and using Newton’s second law \( \Sigma \vec{F} = m \vec{a} \) to relate the forces to the acceleration of each block.
Transcribed Image Text:**Problem 15: Free Body Diagrams and Newton’s Second Law** **Part (a):** - **Description:** A block of mass \( m \) is on a horizontal surface. The block has an inclined force \( \vec{P} \) acting at an angle \( \theta \) from the horizontal. The system is described using a coordinate system with axes labeled \( x \) (horizontal) and \( y \) (vertical). - **Task:** Draw the free body diagram for the block and apply Newton’s second law along the \( x \) and \( y \) axes. **Part (b):** - **Description:** Two blocks are in contact, where block \( m_1 \) is adjacent to block \( m_2 \). A force \( \vec{F} \) is applied horizontally on \( m_1 \). - **Task:** Draw free body diagrams considering each block individually as a system and then treat the combination as a single system. This will result in three separate free body diagrams. **Part (c):** - **Description:** Block \( m_1 \) is on a surface and connected to block \( m_2 \) via a pulley system. The second block \( m_2 \) is hanging vertically. Axes are labeled \( a_1 \) (horizontal acceleration of \( m_1 \)) and \( a_2 \) (vertical acceleration of \( m_2 \)). - **Task:** Draw the necessary free body diagrams to analyze the system. These tasks involve identifying forces such as tension, gravity, normal force, and friction where applicable, and using Newton’s second law \( \Sigma \vec{F} = m \vec{a} \) to relate the forces to the acceleration of each block.
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Step 1: Introduction:

Here, first we will draw free body diagram of each case, than look at the net force along each axis and write down the second law of motion.

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