Determine the possible values for the magnitude

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SUMMARY

The discussion focuses on determining the minimum force magnitude (P) required to keep an 8 kg block stationary against a wall at a 50-degree angle, with a static friction coefficient of 0.249. The key equations involved include the static friction maximum (Fsmax = UsN) and the force balance equation (Fy = Psin50 - Fs - mg). The user struggles with correctly applying these formulas, particularly in identifying the forces acting on the block and their relationships.

PREREQUISITES
  • Understanding of static friction and its maximum value (Fsmax = UsN)
  • Knowledge of force balance equations in physics
  • Ability to analyze forces acting on an object in equilibrium
  • Familiarity with trigonometric functions, specifically sine, in force calculations
NEXT STEPS
  • Study the concept of static friction and its application in real-world scenarios
  • Learn how to draw free-body diagrams to visualize forces acting on objects
  • Explore the derivation and application of force balance equations in physics
  • Practice problems involving inclined forces and static equilibrium
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mechanics, particularly those studying static equilibrium and frictional forces in applied physics contexts.

byeh2004
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Hw help please!

So the problem begans like this

A block of mass 8kg is pushed up against a wall by a force P that makes a 50 degree angle with the horizontal. The coefficient of static friction between the block and the wall is 0.249. Determine the possible values for the magnitude of P that allow the block to remain stationary.

They ask for the miniumum P that will allow the block to remain stationary but I'm not sure how to set it up.

We know that at Fsmax = UsN, and anything below it is Fs = F . But what exactly is F?

Fy = Psin50 - Fs - mg

Since its still stationary Fy is 0

Does F = Fsmin + mg?

if so 0 = Psin50 - (Fsmin + mg)

but when i plug in the values I get the wrong answer still

can anyone give me some tips? Thanks!
 
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It sounds to me like you have formulas but don't understand them. You need to understand a formula in relation to the context in which it applies.

Start by drawing a diagram of all the forces on the block. From that you should be able to deduce a formula to find the answer.

What are all the forces acting on the block? Assuming the applied force is just enough to ensure the block remains stationary, which forces are pulling the block downwards and which upwards?
 

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