Math Problem Statement
The system shown in the figure below is initially kept at rest. The mass of the object A in the picture is 24 kg and the mass of the object B is 25 kg. Let the coefficient of static friction between A and B be 0.26 and the coefficient of kinetic friction between B and the surface be 0.13. When C is released, what is the maximum mass mC that C can have to cause A and B to slide together. You can assume that the string is massless and slides smoothly over the pulley. a) Calculate the maximum mass of the piece C. b) Calculate the frictional force between object B and the surface.
Solution
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Math Problem Analysis
Mathematical Concepts
Newton's Laws of Motion
Friction
Force Analysis
Formulas
Static friction: f_s = μ_s * N
Kinetic friction: f_k = μ_k * N
Newton's Second Law: F = ma
Tension: T = m_C * g
Theorems
Newton's Laws of Motion
Frictional Force Theorem
Suitable Grade Level
Grade 11-12 (Physics)
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