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

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To determine the coefficient of friction needed to prevent a crate from sliding on a decelerating truck on a 15º incline, the forces acting on the crate must be analyzed, including gravitational and frictional forces. The deceleration of the truck is 4 m/s², which affects the frictional force required to keep the crate stationary relative to the truck. The discussion raises a question about whether the required coefficient of friction would remain the same if the truck were accelerating up the incline at 4 m/s². Participants emphasize the importance of applying Newton's second law to understand the forces in play, despite the absence of mass in the problem statement. Ultimately, the analysis hinges on the relationship between friction, incline angle, and the forces acting on the crate.
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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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