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Two blocks with masses m1 = 3.00 kg and m2 = 4.00 kg are connected by a light piece of red string. The red string is draped over a frictionless pulley. Block mị is positioned on a rough ramp that makes an angle of 37.0° with the horizontal, while block m2 is positioned on a rough horizontal tabletop to the left of the ramp. The coefficient of kinetic friction between m, and the ramp 0.250, and the coefficient of kinetic friction between m2 and the ramp is µ2= 0.100. is Meanwhile, a third block of mass m3= 0.0250 kg is connected to the other side of mass m2 with a piece of blue string. The blue string is draped over a second frictionless pulley so that mass m3 hangs vertically over the left side of the horizontal tabletop. When the system is released from rest, block mị travels down the ramp with an unknown acceleration a. Assume the strings connecting the blocks remain taut so that the whole system travels with the same acceleration.

Two blocks with masses m1 = 3.00 kg and m2 = 4.00 kg are connected by a light piece of red string. The red string is draped over a frictionless pulley. Block mị is positioned on a rough ramp that makes an angle of 37.0° with the horizontal, while block m2 is positioned on a rough horizontal tabletop to the left of the ramp. The coefficient of kinetic friction between m, and the ramp 0.250, and the coefficient of kinetic friction between m2 and the ramp is µ2= 0.100. is Meanwhile, a third block of mass m3= 0.0250 kg is connected to the other side of mass m2 with a piece of blue string. The blue string is draped over a second frictionless pulley so that mass m3 hangs vertically over the left side of the horizontal tabletop. When the system is released from rest, block mị travels down the ramp with an unknown acceleration a. Assume the strings connecting the blocks remain taut so that the whole system travels with the same acceleration.

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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Please see question in the photo? You can just do part B. First image is the description of the question. Thank you! 

**Problem 1** Two blocks with masses \( m_1 = 3.00 \, \text{kg} \) and \( m_2 = 4.00 \, \text{kg} \) are connected by a light piece of red string. The red string is draped over a frictionless pulley. Block \( m_1 \) is positioned on a rough ramp that makes an angle of \( 37.0^\circ \) with the horizontal, while block \( m_2 \) is positioned on a rough horizontal tabletop to the left of the ramp. The coefficient of kinetic friction between \( m_1 \) and the ramp is \( \mu_1 = 0.250 \), and the coefficient of kinetic friction between \( m_2 \) and the ramp is \( \mu_2 = 0.100\). Meanwhile, a third block of mass \( m_3 = 0.0250 \, \text{kg} \) is connected to the other side of mass \( m_2 \) with a piece of blue string. The blue string is draped over a second frictionless pulley so that mass \( m_3 \) hangs vertically over the left side of the horizontal tabletop. When the system is released from rest, block \( m_1 \) travels down the ramp with an unknown acceleration \( a \). Assume the strings connecting the blocks remain taut so that the whole system travels with the same acceleration. **Diagram Explanation:** - Three blocks are depicted: \( m_1 = 3.00 \, \text{kg} \) on an inclined plane, \( m_2 = 4.00 \, \text{kg} \) on a horizontal tabletop, and \( m_3 = 0.0250 \, \text{kg} \) hanging vertically. - The red string connects \( m_1 \) on the ramp to \( m_2 \) on the tabletop via a pulley, with the force \( F_{T1} \) indicated. - The blue string connects \( m_3 \) to \( m_2 \) via another pulley, with the force \( F_{T2} \) indicated. - Friction coefficients \( \mu_1 = 0.250 \) for the ramp and \( \mu_2 = 0.100 \) for the tabletop are shown. - The angle
Transcribed Image Text:**Problem 1** Two blocks with masses \( m_1 = 3.00 \, \text{kg} \) and \( m_2 = 4.00 \, \text{kg} \) are connected by a light piece of red string. The red string is draped over a frictionless pulley. Block \( m_1 \) is positioned on a rough ramp that makes an angle of \( 37.0^\circ \) with the horizontal, while block \( m_2 \) is positioned on a rough horizontal tabletop to the left of the ramp. The coefficient of kinetic friction between \( m_1 \) and the ramp is \( \mu_1 = 0.250 \), and the coefficient of kinetic friction between \( m_2 \) and the ramp is \( \mu_2 = 0.100\). Meanwhile, a third block of mass \( m_3 = 0.0250 \, \text{kg} \) is connected to the other side of mass \( m_2 \) with a piece of blue string. The blue string is draped over a second frictionless pulley so that mass \( m_3 \) hangs vertically over the left side of the horizontal tabletop. When the system is released from rest, block \( m_1 \) travels down the ramp with an unknown acceleration \( a \). Assume the strings connecting the blocks remain taut so that the whole system travels with the same acceleration. **Diagram Explanation:** - Three blocks are depicted: \( m_1 = 3.00 \, \text{kg} \) on an inclined plane, \( m_2 = 4.00 \, \text{kg} \) on a horizontal tabletop, and \( m_3 = 0.0250 \, \text{kg} \) hanging vertically. - The red string connects \( m_1 \) on the ramp to \( m_2 \) on the tabletop via a pulley, with the force \( F_{T1} \) indicated. - The blue string connects \( m_3 \) to \( m_2 \) via another pulley, with the force \( F_{T2} \) indicated. - Friction coefficients \( \mu_1 = 0.250 \) for the ramp and \( \mu_2 = 0.100 \) for the tabletop are shown. - The angle
(a) Draw a complete free-body diagram for each individual mass (three diagrams total). Be sure to label each force as well as the positive x- and y-axes on each diagram. Do not split forces into components. (b) Calculate the following forces: (i) The normal force acting on \( m_1 \) (ii) The normal force acting on \( m_2 \) (iii) The kinetic friction force acting on \( m_1 \) (iv) The kinetic friction force acting on \( m_2 \) (c) Calculate the following quantities: (i) The acceleration of the three-block system (ii) The tension \( F_{T1} \) in the red piece of string (iii) The tension \( F_{T2} \) in the blue piece of string (d) Suppose \( m_3 \) were replaced with a different mass \( M \) that enabled the system to travel at constant velocity. What would the value of \( M \) have to be?
Transcribed Image Text:(a) Draw a complete free-body diagram for each individual mass (three diagrams total). Be sure to label each force as well as the positive x- and y-axes on each diagram. Do not split forces into components. (b) Calculate the following forces: (i) The normal force acting on \( m_1 \) (ii) The normal force acting on \( m_2 \) (iii) The kinetic friction force acting on \( m_1 \) (iv) The kinetic friction force acting on \( m_2 \) (c) Calculate the following quantities: (i) The acceleration of the three-block system (ii) The tension \( F_{T1} \) in the red piece of string (iii) The tension \( F_{T2} \) in the blue piece of string (d) Suppose \( m_3 \) were replaced with a different mass \( M \) that enabled the system to travel at constant velocity. What would the value of \( M \) have to be?
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