Another law of motion question, last one i swear

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To solve the problem of a 2.00kg block on a 60-degree incline held by a horizontal force, a free body diagram (FBD) is essential to identify all acting forces. The applied force F must be correctly oriented, and additional forces such as gravity, normal force, and friction must be included in the analysis. Key equations include the law of static friction (F_lim = μN) and Newton's Second Law (F_net = Ma). Attention to detail in the FBD and understanding of constraining forces are crucial for accurate calculations. Revisiting introductory physics texts may provide further clarity on these concepts.
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another law of motion question, last one i swear!

Homework Statement


a 2.00kg block is held in equilibrium on an incline of angle 60deg by a horizontal force F applied in the direction ->. If the coefficient of static friction between block and incline is .300, determine a) min value of F and B) normal force exerted by the incline on the block.


Homework Equations


??


The Attempt at a Solution


Thats why I'm here, i need guidance, the book doesn't really cover this!
 
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Draw a free body diagram for a start.
 
twistedps said:
here is the FBD that i drew

Your F is not in the right direction. You have not shown the other forces acting on the block. You need three more forces.
 
The most common mistake when drawing free-body diagrams is forgetting Newton's Third Law. Go back to the basics: every force must have an equal and opposite force. Also slelect your system correctly and understand the nature of constraining forces exerted by rigid bodies. Maybe you should study the chapter on Newton's Laws from some good introductory book like Halliday and Resnick (Not Walker).

You haven't read the question carefully either, you have made a mistake in the drawing. As for equations, I'm sure your book covers the few necessary ones:

The law of static friction (F_{lim} = \mu N) and Newton's Second Law (F_{net} = Ma). You will also need some basic vector algebra. Concentrate and draw another diagram.

Molu
 
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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