How to Calculate the Required Force to Move a Block Up an Incline

AI Thread Summary
To calculate the required force to move a 4.00-kg block up a 30.0° incline with a coefficient of static friction of 0.700, one must consider the forces acting on the block, including its weight and friction. The maximum static friction force must be overcome to initiate movement, which involves determining the normal force and applying the equation F = ma. The normal force can be calculated using the angle of the incline and the weight of the block. The discussion emphasizes the need for relevant equations and a clear approach to solving the problem. Understanding these concepts is crucial for accurately determining the minimum force needed to move the block up the incline.
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Homework Statement


4.00-kg block rests on a 30.0° incline as shown in the figure. If the coefficient of static friction between the block and the incline is 0.700, what magnitude horizontal force F must act on the block to start it moving up the incline?

Homework Equations


F=ma Ffriction=μsFnormal

The Attempt at a Solution


Numerous attempts to long to type out.
 
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The forces acting on it are its weight and the friction force. A body will not move until the maximum static force is applied on it. Now think what should be the ''minimum'' F to move up the incline so that it overcomes the weight and static friction.
 
Need more relevant equations (Fn ?)
And at least one attempt. Take what you think is the best and show where it gets stuck.
 

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