How Is the Force of Friction Calculated for a Block Against a Wall?

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SUMMARY

The force of friction for a block against a wall can be calculated using the formula Fk = µ (F sin θ - mg). In this scenario, the block has a mass of 2.3 kg, a coefficient of kinetic friction (µ) of 0.53, and is subjected to a force (F) of 68 N at an angle (θ) of 62 degrees. The gravitational acceleration is 9.8 m/s². The correct approach involves considering the vertical components of the forces acting on the block, ensuring that the sum of the vertical components equals the weight of the block.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of free body diagrams
  • Familiarity with the concept of friction and its coefficients
  • Basic trigonometry for resolving forces
NEXT STEPS
  • Study the derivation of the force of friction formula Fk = µ (F sin θ - mg)
  • Learn about free body diagram techniques for analyzing forces
  • Explore the effects of different coefficients of friction on block movement
  • Investigate the impact of angle θ on the frictional force in similar scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and friction, as well as educators looking for practical examples of force calculations.

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Homework Statement


As shown in the figure, a block is pushed up against the wall. Let the mass of the block be m=2.3 kg, the coefficient of kinetic friction between the block and the wall be µ= 0.53, and θ= 62. Suppose F = 68 N.
The acceleration of gravity is 9.8 m/s^2.
Find the force of friction. Answer in units of N.
http://img359.imageshack.us/my.php?image=71957582pz7.jpg
http://img359.imageshack.us/my.php?image=71957582pz7.jpg

Homework Equations


Fk= µ ( F sin θ - mg)
F=ma




The Attempt at a Solution


Well first I used F= µ(F sin θ), but I figured it was too simple, so I drew a free body diagram and saw mg going down on the block. I'm not sure how to go from there. Does the vertical component of force equal mg?
 
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Yes, the sum of the vertical components must be equal to the weight of the block.
 

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