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(Figure 1) The car shown in the figure has mass m (this includes the mass of the wheels). The wheels have radius r mass mw, and moment of inertia I = km². Assume that the axles apply the same torque T to all four wheels. For simplicity, also assume that the weight is distributed uniformly so that all the wheels experience the same normal reaction from the ground, and so the same frictional force. Figure < 1 of 1 ▼ Part B Use Newton's laws to find an expression for the net external force acting on the car. Ignore air resistance. Express your answer in terms of any given variables and f, the force of friction acting on each wheel. VGI ΑΣΦ Fnet = Submit Part C N= Use Newton's laws to find an expression for N, the normal force on each wheel. Express your answer in terms of m and g, the magnitude of the acceleration due to gravity. Request Answer Submit Part D IVE ΑΣΦ Request Answer ? ?

(Figure 1) The car shown in the figure has mass m (this includes the mass of the wheels). The wheels have radius r mass mw, and moment of inertia I = km². Assume that the axles apply the same torque T to all four wheels. For simplicity, also assume that the weight is distributed uniformly so that all the wheels experience the same normal reaction from the ground, and so the same frictional force. Figure < 1 of 1 ▼ Part B Use Newton's laws to find an expression for the net external force acting on the car. Ignore air resistance. Express your answer in terms of any given variables and f, the force of friction acting on each wheel. VGI ΑΣΦ Fnet = Submit Part C N= Use Newton's laws to find an expression for N, the normal force on each wheel. Express your answer in terms of m and g, the magnitude of the acceleration due to gravity. Request Answer Submit Part D IVE ΑΣΦ Request Answer ? ?

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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**Figure 1 Explanation:** The car shown in the figure has mass \( m \) (this includes the mass of the wheels). The wheels have radius \( r \), mass \( m_w \), and moment of inertia \( I = k m_w r^2 \). Assume that the axles apply the same torque \( \tau \) to all four wheels. For simplicity, also assume that the weight is distributed uniformly so that all the wheels experience the same normal reaction from the ground, and so the same frictional force. **Diagram:** The diagram depicts a blue car with the wheels highlighted. Each wheel experiences a torque \( \tau \). **Problem Parts and Instructions:** **Part B:** Use Newton's laws to find an expression for the net external force acting on the car. Ignore air resistance. - **Expression Required:** Express your answer in terms of any given variables and \( f \), the force of friction acting on each wheel. - **Formula Input Box:** \( F_{\text{net}} = \) - **Action:** Submit your answer. **Part C:** Use Newton's laws to find an expression for \( N \), the normal force on each wheel. - **Expression Required:** Express your answer in terms of \( m \) and \( g \), the magnitude of the acceleration due to gravity. - **Formula Input Box:** \( N = \) - **Action:** Submit your answer.
Transcribed Image Text:**Figure 1 Explanation:** The car shown in the figure has mass \( m \) (this includes the mass of the wheels). The wheels have radius \( r \), mass \( m_w \), and moment of inertia \( I = k m_w r^2 \). Assume that the axles apply the same torque \( \tau \) to all four wheels. For simplicity, also assume that the weight is distributed uniformly so that all the wheels experience the same normal reaction from the ground, and so the same frictional force. **Diagram:** The diagram depicts a blue car with the wheels highlighted. Each wheel experiences a torque \( \tau \). **Problem Parts and Instructions:** **Part B:** Use Newton's laws to find an expression for the net external force acting on the car. Ignore air resistance. - **Expression Required:** Express your answer in terms of any given variables and \( f \), the force of friction acting on each wheel. - **Formula Input Box:** \( F_{\text{net}} = \) - **Action:** Submit your answer. **Part C:** Use Newton's laws to find an expression for \( N \), the normal force on each wheel. - **Expression Required:** Express your answer in terms of \( m \) and \( g \), the magnitude of the acceleration due to gravity. - **Formula Input Box:** \( N = \) - **Action:** Submit your answer.
**Part D: Frictional Force and Car Acceleration** **Problem Statement:** Now assume that the frictional force \( f \) is not at its maximum value. What is the relation between the torque \( \tau \) applied to each wheel by the axles and the acceleration \( a \) of the car? Once you have the exact expression for the acceleration, make the approximation that the wheels are much lighter than the car as a whole. **Instructions:** Express your answer in terms of some or all of the variables \( m, r, \tau \) and the magnitude of the acceleration due to gravity \( g \). **Input Field:** - You can input the expression for acceleration \( a \) using the provided mathematical interface. - Submit your answer to check its correctness. **Figure Explanation:** The figure shows a side view diagram of a blue car with labeled wheels. The torque \( \tau \) is highlighted in red around the wheels, indicating the applied force at the axles that causes rotational motion. **Additional Features:** - *View Available Hint(s)*: Click to access hints if needed. Ensure your expression accurately reflects the given variables and adheres to the conditions specified.
Transcribed Image Text:**Part D: Frictional Force and Car Acceleration** **Problem Statement:** Now assume that the frictional force \( f \) is not at its maximum value. What is the relation between the torque \( \tau \) applied to each wheel by the axles and the acceleration \( a \) of the car? Once you have the exact expression for the acceleration, make the approximation that the wheels are much lighter than the car as a whole. **Instructions:** Express your answer in terms of some or all of the variables \( m, r, \tau \) and the magnitude of the acceleration due to gravity \( g \). **Input Field:** - You can input the expression for acceleration \( a \) using the provided mathematical interface. - Submit your answer to check its correctness. **Figure Explanation:** The figure shows a side view diagram of a blue car with labeled wheels. The torque \( \tau \) is highlighted in red around the wheels, indicating the applied force at the axles that causes rotational motion. **Additional Features:** - *View Available Hint(s)*: Click to access hints if needed. Ensure your expression accurately reflects the given variables and adheres to the conditions specified.
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