Maximum Acceleration for Crate on Moving Flatbed

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To determine the maximum acceleration of a flatbed truck carrying a 20KG crate on a 15-degree incline with a static friction coefficient of 0.400, it's essential to analyze the forces acting on the crate. The gravitational force acting down the slope and the frictional force opposing this motion must be considered. The net force can be expressed as F = ma, where 'a' is the acceleration of the truck. Calculating the forces will reveal the maximum acceleration the truck can achieve without the crate sliding. Understanding these dynamics is crucial for ensuring the crate remains stationary during transport.
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Homework Statement



a flatbed truck is carrying a 20KG crate down a sloping road inclined 15 degrees above the horizontal. The coefficient of static friction between the crate and the bed in 0.400. what is the maximum acceleration that a truck can have if th4 crate is to stay in place?

Homework Equations





The Attempt at a Solution

 
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the crate stays still on a moving flatbed truck
 
What is the acceleration of the crate with respect to the ground?
If there is acceleration, there is a net force of F=ma. What forces act on the crate?

ehild
 

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