What is the Maximum Tension Force for a Block on an Inclined Surface?

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To determine the maximum tension force for a block on an inclined surface, it's essential to analyze the forces acting on the block, including gravity, normal force, and friction. The block has a mass of 5.37 kg and is on a 46.0° incline with a static friction coefficient of 0.580. To find the minimum and maximum forces (Fmin and Fmax) that keep the block at rest, one must apply the equation SigmaF = ma and consider the balance of forces. A free body diagram is crucial for visualizing these forces and calculating the necessary values. Understanding these concepts is key to solving the problem effectively.
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Homework Statement



A block with a mass of 5.37 kg is placed at rest on a surface inclined at an angle of 46.0° above the horizontal. The coefficient of static friction between the block and the surface is 0.580, and a force of magnitude pushes upward on the block, parallel to the inclined surface. The block will remain at rest only if is greater than a minimum value, Fmin, and less than a maximum value,
a)Fmax.
b)Calculate Fmin.


Homework Equations


SigmaF = ma


The Attempt at a Solution



I really have no clue where to start here. Help please.
 
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Whenever you have a problem involving friction the first step is almost always to draw a free body diagram.
 
Nevermind, I got it.
 

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