How Do You Calculate the Force Needed to Move a Block Up an Inclined Surface?

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SUMMARY

The discussion focuses on calculating the force required to move a block weighing 150N up an inclined surface at a constant velocity of 0.8m/s, with a friction coefficient of 0.27 and an incline angle of 20 degrees. The primary equation used is F = μN, where μ is the coefficient of friction and N is the normal force. The calculated force to overcome friction is 40.5N, derived from the equation 0.27 x 150N. It is emphasized that the normal force must be adjusted for the incline angle, necessitating a free body diagram for accurate calculations.

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  • Understanding of basic mechanics, specifically forces and motion.
  • Familiarity with the concept of friction and the coefficient of friction.
  • Ability to draw and interpret free body diagrams.
  • Knowledge of trigonometric functions related to inclined planes.
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  • Study the derivation of the normal force on an inclined plane.
  • Learn about the role of dynamic viscosity in thermofluids.
  • Explore advanced friction models beyond the basic coefficient of friction.
  • Investigate the effects of different incline angles on force calculations.
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blue-steel
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Hi, I am working on this question its part of a larger question about dynamic viscosity in thermofluids but its the basic mechanics of friction I forget how to do

Homework Statement



A block weighing 150N is to be moved at constant velocity 0.8m/s up an inclined surface with a friction coefficient of 0.27. Determine the force F that needs to be applied in the horizontal direction.

(the elevation of the slope is 20 degrees)

Homework Equations



F = μN (i think)

The Attempt at a Solution



Applying the basic equation to find the horizontal force results in F = μN,
0.27 X 150 = 40.5N the force required to overcome the friction move the block (Im not sure if the velocity is required for this part but i mentioned it in case it was)
 
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Because the surface is at an angle, N is not simply equal to the weight, 150 N.

You can get N by drawing a free body diagram showing all forces on the block, and writing separate equations for the horizontal and vertical force components.
 

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