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1. Wooden blocks with masses m, = 4.16 kg and m, = 8.77 kg are connected by a string that passes without friction over a pulley as in the Figure. The block m, is held at rest on the floor and m2 rests on a fixed incline of 9 = 33°. The blocks are released from rest, and m2 slides 1.18 m down the incline in 7.53 s. Determine a) the acceleration of each object, b) the tension in the string, and c) the coefficient of kinetic friction between m, and the incline. m2

1. Wooden blocks with masses m, = 4.16 kg and m, = 8.77 kg are connected by a string that passes without friction over a pulley as in the Figure. The block m, is held at rest on the floor and m2 rests on a fixed incline of 9 = 33°. The blocks are released from rest, and m2 slides 1.18 m down the incline in 7.53 s. Determine a) the acceleration of each object, b) the tension in the string, and c) the coefficient of kinetic friction between m, and the incline. m2

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 Description 1. **Wooden Blocks on Incline:** - **Masses:** Let \( m_1 = 4.16 \, \text{kg} \) and \( m_2 = 8.77 \, \text{kg} \). - These blocks are connected by a string that passes over a pulley. - **Position:** - Block \( m_1 \) is at rest on the floor. - Block \( m_2 \) rests on a fixed incline of angle \( \theta = 33^\circ \). - **Motion:** - The blocks are released from rest. - Block \( m_2 \) slides 1.18 meters down the incline in 7.53 seconds. ### Objectives - **Determine:** a) The acceleration of each object. b) The tension in the string. c) The coefficient of kinetic friction between \( m_2 \) and the incline. ### Diagram Explanation - There is a triangular incline. - The incline makes an angle \( \theta = 33^\circ \) with the horizontal. - Block \( m_2 \) is located on the incline. - Block \( m_1 \) hangs vertically, connected via the string over the pulley located at the apex of the incline. - The incline is depicted in gray, with block \( m_2 \) resting on it. - Block \( m_1 \) is shown hanging off the side of the incline. This setup forms a typical Atwood machine on an incline problem often considered in introductory physics courses. The main focus will be on analyzing forces, acceleration, tension, and friction.
Transcribed Image Text:### Problem Description 1. **Wooden Blocks on Incline:** - **Masses:** Let \( m_1 = 4.16 \, \text{kg} \) and \( m_2 = 8.77 \, \text{kg} \). - These blocks are connected by a string that passes over a pulley. - **Position:** - Block \( m_1 \) is at rest on the floor. - Block \( m_2 \) rests on a fixed incline of angle \( \theta = 33^\circ \). - **Motion:** - The blocks are released from rest. - Block \( m_2 \) slides 1.18 meters down the incline in 7.53 seconds. ### Objectives - **Determine:** a) The acceleration of each object. b) The tension in the string. c) The coefficient of kinetic friction between \( m_2 \) and the incline. ### Diagram Explanation - There is a triangular incline. - The incline makes an angle \( \theta = 33^\circ \) with the horizontal. - Block \( m_2 \) is located on the incline. - Block \( m_1 \) hangs vertically, connected via the string over the pulley located at the apex of the incline. - The incline is depicted in gray, with block \( m_2 \) resting on it. - Block \( m_1 \) is shown hanging off the side of the incline. This setup forms a typical Atwood machine on an incline problem often considered in introductory physics courses. The main focus will be on analyzing forces, acceleration, tension, and friction.
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