A block of mass 0.23 kg, is placed on a flat surface inclined at angle relative to horizontal (as in the figure) and is initially at rest. The coefficient of static friction, g, is 0.55 and the coefficient of kinetic friction, is 0.15. The angle is increased slowly. What is the largest value of 0 (in degrees) such that you should expect the block to remain at rest and not begin to move down the incline? If = 57 degrees and the block starts to accelerate down the incline, what is the magnitude of the acceleration in m/s²? Question Help: Read m 0

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Chapter1: Units, Trigonometry. And Vectors
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A block of mass 0.23 kg is placed on a flat surface inclined at an angle θ relative to horizontal (as shown in the figure) and is initially at rest. The coefficient of static friction, μₛ, is 0.55, and the coefficient of kinetic friction, μₖ, is 0.15. The angle θ is increased slowly. What is the largest value of θ (in degrees) such that you should expect the block to remain at rest and not begin to move down the incline?

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If θ = 57 degrees and the block starts to accelerate down the incline, what is the magnitude of the acceleration in m/s²?

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**Diagram Explanation:**

The diagram shows an inclined plane with an angle θ to the horizontal. A block of mass m is placed on the incline. The angle of the incline is represented by θ.
Transcribed Image Text:A block of mass 0.23 kg is placed on a flat surface inclined at an angle θ relative to horizontal (as shown in the figure) and is initially at rest. The coefficient of static friction, μₛ, is 0.55, and the coefficient of kinetic friction, μₖ, is 0.15. The angle θ is increased slowly. What is the largest value of θ (in degrees) such that you should expect the block to remain at rest and not begin to move down the incline? [Input box for answer] If θ = 57 degrees and the block starts to accelerate down the incline, what is the magnitude of the acceleration in m/s²? [Input box for answer] **Diagram Explanation:** The diagram shows an inclined plane with an angle θ to the horizontal. A block of mass m is placed on the incline. The angle of the incline is represented by θ.
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