**Problem Statement**1. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is \( m_1 \) and the hanging mass is \( m_2 \). The table and the pulley are frictionless.*Diagram Explanation:*- The diagram shows two blocks connected by a rope that runs over a pulley. - Block \( m_1 \) is on a horizontal surface, and block \( m_2 \) is hanging off the edge.- The block \( m_1 \) experiences acceleration \( \vec{a_1} \) horizontally.- The block \( m_2 \) experiences acceleration \( \vec{a_2} \) vertically downward.**Subpart 1: Draw FBDs**In your notebook, draw free body diagrams for \( m_1 \) and \( m_2 \) using the template as shown below. The forces acting on the system are 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 \( m_1 \).*Free Body Diagram Template:*- A coordinate system with axes labeled \( x \) (horizontal) and \( y \) (vertical).- Represent \( m_1 \) and \( m_2 \) using circles and show vectors for forces such as weight, tension, and normal force.**Subpart 2: Set up Newton's Second Law Equations***Instructions:*- Apply Newton's Second Law to each block separately.- For \( m_1 \), consider horizontal forces (tension and acceleration).- For \( m_2 \), consider vertical forces (tension, weight, and acceleration). ## Newton's Second Law Analysis### (i) Newton’s Second Law for \( m_1 \)In terms of 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 \( m_1 \) can be written as (using the coordinate axes for signs of different forces):\[\sum F_x = \underline{\hspace{3cm}} = m_1 a_{1,x}\]\[\sum F_y = \underline{\hspace{3cm}} = m_1 a_{1,y}\]### (ii) Newton’s Second Law for \( m_2 \)In terms of 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 \( m_1 \) can be written as:*Note: The motion of \( m_2 \) is along the y-direction only.*\[\sum F_y = \underline{\hspace{3cm}} = m_2 a_{2,y}\]### (iii) Relation Between \( \vec{a_1} \) and \( \vec{a_2} \)How are \( \vec{a_1} \) and \( \vec{a_2} \) related? What are the directions of \( \vec{a_1} \) and \( \vec{a_2} \)?**Magnitudes of \( \vec{a_1} \) and \( \vec{a_2} \):**A. \( a_1 \) is greater than \( a_2 \) B. \( a_1 \) is less than \( a_2 \) C. \( a_1 \) is equal to \( a_2 \) **Directions of \( \vec{a_1} \) and \( \vec{a_2} \):**A. \( \vec{a_1} \) is to the right and \( \vec{a_2} \) is up B. \( \vec{a_1} \) is to the right and \( \vec{a_2} \) is

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1. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is m, and the hanging mass is m₂. The table and the pulley are frictionless. a₁ m₁ y L X m₂ Subpart 1: Draw FBDs In your notebook, draw free body diagrams for m, and m₂ using the template as shown below. The forces acting on the system are weights of the blocks, m₁g, and m₂g, the tension in the string T and the normal reaction N₁ of the table on m₁. 111 a₂ m2

1. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is m, and the hanging mass is m₂. The table and the pulley are frictionless. a₁ m₁ y L X m₂ Subpart 1: Draw FBDs In your notebook, draw free body diagrams for m, and m₂ using the template as shown below. The forces acting on the system are weights of the blocks, m₁g, and m₂g, the tension in the string T and the normal reaction N₁ of the table on m₁. 111 a₂ m2

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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