In the figure shown, the coefficient of kinetic friction between the block and the incline is 0.40. What is the magnitude of the acceleration of the suspended block as it falls? Disregard any pulley mass or friction in the pulley. (Assume the angle of incline is 40.0 degrees.)

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In the figure shown, the coefficient of kinetic friction between the block and the incline is 0.40. What is the magnitude of the acceleration of the suspended block as it falls? Disregard any pulley mass or friction in the pulley. (Assume the angle of incline is 40.0 degrees.)

In the figure shown, what is the mass \( M \) in terms of \( m \) such that the block slides down the plane without any falls? Disregard any pulley mass or friction. What is the tension in the string? (Note: The pulley is frictionless.)

**Diagram Explanation:**

The diagram depicts an inclined plane set at a 40-degree angle with the horizontal. On the incline, there is a block labeled \( M \). The plane is connected by a string running over a pulley at the top of the incline, holding another block labeled \( 2M \) hanging vertically. The system suggests a physics problem involving tension, gravitational forces, and components of forces acting along the inclined plane.
Transcribed Image Text:In the figure shown, what is the mass \( M \) in terms of \( m \) such that the block slides down the plane without any falls? Disregard any pulley mass or friction. What is the tension in the string? (Note: The pulley is frictionless.) **Diagram Explanation:** The diagram depicts an inclined plane set at a 40-degree angle with the horizontal. On the incline, there is a block labeled \( M \). The plane is connected by a string running over a pulley at the top of the incline, holding another block labeled \( 2M \) hanging vertically. The system suggests a physics problem involving tension, gravitational forces, and components of forces acting along the inclined plane.
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