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A large block with mass M is on a frictionless surface and is being pushed with a force F. There is a small block with mass m that is prevented from sliding down the side of the larger mass due to the overall motion. In terms of the variables M, m, F and g, what must be the coefficient of static friction between M and m? To be clear: between M and the ground, there is no friction, but between M and m, there is friction. M

A large block with mass M is on a frictionless surface and is being pushed with a force F. There is a small block with mass m that is prevented from sliding down the side of the larger mass due to the overall motion. In terms of the variables M, m, F and g, what must be the coefficient of static friction between M and m? To be clear: between M and the ground, there is no friction, but between M and m, there is friction. M

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**Friction and Static Equilibrium Problem** A large block with mass \( M \) is on a frictionless surface and is being pushed with a force \( F \). There is a small block with mass \( m \) that is prevented from sliding down the side of the larger mass due to the overall motion. In terms of the variables \( M \), \( m \), \( F \), and \( g \), what must be the coefficient of static friction between \( M \) and \( m \)? To be clear: between \( M \) and the ground, there is no friction, but between \( M \) and \( m \), there is friction. **Diagram Explanation** - The diagram shows a large block labeled \( M \) being pushed to the right by a force \( F \). - A smaller block labeled \( m \) is situated on the side of the larger block \( M \), in contact with it. - The surface underneath the large block \( M \) is frictionless, indicating that only the interaction between the blocks \( M \) and \( m \) involves friction.
Transcribed Image Text:**Friction and Static Equilibrium Problem** A large block with mass \( M \) is on a frictionless surface and is being pushed with a force \( F \). There is a small block with mass \( m \) that is prevented from sliding down the side of the larger mass due to the overall motion. In terms of the variables \( M \), \( m \), \( F \), and \( g \), what must be the coefficient of static friction between \( M \) and \( m \)? To be clear: between \( M \) and the ground, there is no friction, but between \( M \) and \( m \), there is friction. **Diagram Explanation** - The diagram shows a large block labeled \( M \) being pushed to the right by a force \( F \). - A smaller block labeled \( m \) is situated on the side of the larger block \( M \), in contact with it. - The surface underneath the large block \( M \) is frictionless, indicating that only the interaction between the blocks \( M \) and \( m \) involves friction.
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