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A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal. The coefficients of friction are: μk = 0.36 and μs = 0.396. Another block with mass m2 = 15.5 kg is attached to the first block. The new block is made of a different material and has a greater coefficient of static friction. What minimum value for the coefficient of static friction is needed between the new block and the plane to keep the system from accelerating?

A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal. The coefficients of friction are: μk = 0.36 and μs = 0.396. Another block with mass m2 = 15.5 kg is attached to the first block. The new block is made of a different material and has a greater coefficient of static friction. What minimum value for the coefficient of static friction is needed between the new block and the plane to keep the system from accelerating?

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
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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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A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal. The coefficients of friction are: μk = 0.36 and μs = 0.396. Another block with mass m2 = 15.5 kg is attached to the first block. The new block is made of a different material and has a greater coefficient of static friction. What minimum value for the coefficient of static friction is needed between the new block and the plane to keep the system from accelerating?

**Physics Problem: Inclined Plane with Connected Masses** In this diagram, there are two masses, \( m_1 \) and \( m_2 \), interconnected by a string on an inclined plane. Both masses are represented as square blocks. The inclined plane is depicted as a slanted, rectangular surface on which the two masses rest. Key features of the diagram: 1. **Inclined Plane**: The brown-colored surface represents an inclined plane. 2. **Masses**: - \( m_1 \) is the mass at the lower position on the incline. - \( m_2 \) is the mass at the higher position on the incline, located to the right of \( m_1 \). 3. **Connecting String**: The yellow line between the two masses indicates a string or rope that connects \( m_1 \) to \( m_2 \). ### Educational Concept: This diagram is used to study the mechanics of an inclined plane with multiple objects. The following are the concepts typically analyzed: - **Gravitational Force**: The force due to gravity acting on both masses. - **Normal Force**: The perpendicular force exerted by the inclined plane on each mass. - **Tension**: The force transmitted through the string connecting the two masses. - **Friction**: This diagram often implies an analysis of friction (if any), between the masses and the inclined plane. To solve problems involving this system, one would apply Newton's second law of motion along the axes parallel and perpendicular to the inclined plane, taking into account all acting forces, such as gravitational force components, tension in the string, and normal forces.
Transcribed Image Text:**Physics Problem: Inclined Plane with Connected Masses** In this diagram, there are two masses, \( m_1 \) and \( m_2 \), interconnected by a string on an inclined plane. Both masses are represented as square blocks. The inclined plane is depicted as a slanted, rectangular surface on which the two masses rest. Key features of the diagram: 1. **Inclined Plane**: The brown-colored surface represents an inclined plane. 2. **Masses**: - \( m_1 \) is the mass at the lower position on the incline. - \( m_2 \) is the mass at the higher position on the incline, located to the right of \( m_1 \). 3. **Connecting String**: The yellow line between the two masses indicates a string or rope that connects \( m_1 \) to \( m_2 \). ### Educational Concept: This diagram is used to study the mechanics of an inclined plane with multiple objects. The following are the concepts typically analyzed: - **Gravitational Force**: The force due to gravity acting on both masses. - **Normal Force**: The perpendicular force exerted by the inclined plane on each mass. - **Tension**: The force transmitted through the string connecting the two masses. - **Friction**: This diagram often implies an analysis of friction (if any), between the masses and the inclined plane. To solve problems involving this system, one would apply Newton's second law of motion along the axes parallel and perpendicular to the inclined plane, taking into account all acting forces, such as gravitational force components, tension in the string, and normal forces.
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