What Coefficient of Friction Keeps a Crate from Sliding on a Decelerating Truck?

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SUMMARY

The discussion centers on calculating the coefficient of friction required to prevent a crate from sliding on a truck bed that is decelerating down a 15º incline at 4 m/s². The forces acting on the crate include gravitational force, normal force, and frictional force, which can be analyzed using Newton's second law of motion. The problem also raises the question of whether the coefficient of friction would remain the same if the truck were to accelerate up the incline at 4 m/s². A clear understanding of these forces is essential for solving the problem accurately.

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  • Understanding of Newton's second law of motion
  • Basic knowledge of forces acting on an inclined plane
  • Familiarity with the concept of coefficient of friction
  • Ability to perform vector decomposition of forces
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  • Investigate the effects of acceleration on frictional forces
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Homework Statement



A truck is traveling down a 15º incline. The truck then begind to break (decelerate) at a rate of 4 m/s. A crate sits on top of the truck bed..Determine the coefficient of friction to keep the crate from sliding on the truck bed. If the truck were to accelerate up a 15º incline at 4m/s^2 would the required coefficient of friction be the same?

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The Attempt at a Solution



I know I have to calculate the forces acting on the crate but I can't figure outwhere to start without a mass..Did my prof leave something out?
 
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What does Newton's second law of motion tell you about the forces acting on the box in the direction of the incline? And in what different ways can you define the forces acting on the box defined in terms of the data you have?

Specifically, what's the definition of the frictional force? The answer should then come to you.
Again, using Newton's second law of motion, you'll see the equation for the coefficient of friction is independent of mass.
 
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