What is the magnitude of the horizontal force

AI Thread Summary
To determine the magnitude of the horizontal force needed to prevent an 8.0 kg block from sliding down a 45-degree incline with a static friction coefficient of 0.35, a free body diagram is essential. The forces acting on the block must be resolved into x and y components, focusing on the x direction for the applied force. The gravitational force component acting down the incline and the frictional force must be calculated to find the required horizontal force. The discussion emphasizes the importance of using trigonometric relationships due to the 45-degree angle, simplifying the calculations. Understanding these forces will lead to the correct magnitude of the horizontal force needed.
nelone
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A block of mass 8.0 kg is on the verge of sliding down a 450 incline. What is the magnitude of the horizontal force F, if the coefficient of static friction between the block and the incline is 0.35? I'm really stuck...appreciate any help. Thanks!
 
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Where are you stuck? What have you done?
 
I feel like a broken record when I say this but here goes: Draw a free body diagram, and break up the forces into x and y components. Now just look at the x direction for your force. I'm assuming that the incline is 45 degrees, so that should make the trigonometry involved very easy.
 

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