Coefficient of sliding friction without an Fa

AI Thread Summary
To determine the force needed to accelerate a 65kg crate up a 25-degree incline at 7 m/s² with a coefficient of sliding friction of 0.2, it's essential to analyze the forces acting on the crate. The gravitational force must be resolved into components parallel and perpendicular to the incline, requiring the use of trigonometric functions. The frictional force can be calculated using the normal force, which is influenced by the incline angle and the weight of the crate. A free body diagram (FBD) is recommended to visualize these forces and facilitate the calculations. Understanding these dynamics is crucial for solving the problem effectively.
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Problem: A 65kg create is to be accelerated at 7 m/s/s up an incline making an angle of 25 degrees with the horizontal. If the coefficient of sliding friction is .2, what force is needed to accomplish this motion?

Well I've tried manipulating this equation to give me either a Ff or an Fn for the mu=Ff/Fn equation. Problem is where its on an incline, i need Facos25 and Fasin25, but i don't have an Fa, all I am given is a 7m/s/s. I am a bit stuck and need some help here
Thanks in advance
 
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this is a tough one, anybody?
 
draw a FBD and then break it down into all the forces acting on it
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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