What is and how do we derive force (F) opposite the force of friction (Ff)?

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SUMMARY

The discussion focuses on deriving the force (F) opposing the force of friction (Ff) for an object on an inclined plane with friction. Key formulas include the sum of forces expressed as F - Ff and the relationship F = ma, where 'm' is mass and 'a' is acceleration. The force of friction is calculated using Ff = Uk(N), where Uk is the coefficient of kinetic friction and N is the normal force. Understanding the distinctions between weight, mass, and the normal force is crucial for applying these concepts effectively.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of inclined plane physics
  • Familiarity with friction coefficients (static and kinetic)
  • Basic concepts of weight and normal force
NEXT STEPS
  • Study the derivation of forces on inclined planes with friction
  • Learn about calculating normal force in various scenarios
  • Explore the implications of static versus kinetic friction
  • Investigate the effects of angle (theta) on force calculations
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding the dynamics of forces on inclined planes with friction.

pyrojelli
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Sum of all Forces= Force - Force of Friction



We have Formulas to use in our physics test for an object on an inclined plane w/ friction: Sum of all Froces= F-Ff,
Sum of all Forces=ma,
a=(Sum of all Forces)/m
Ff=Uk(N)
and Sum of all Forces=(mg)sin(theta)-Uk(mg)cos(theta)



We need to know how to derive F (not the sum of forces "F" but the F that is minus Force of friction) if we are only given mass, theta, and coefficient of friction. also We wish to know the difference between weight, mass, mass*gravity, the Normal Force, and Newtons.
 
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Well - the relationship between force, mass and acceleration is F = ma.

One measures acceleration, then calculates force.

Weight is simply m*g or mass times the acceleration of gravity, and is a force. Normal means perpendicular to a surface in the usual context.

Is the weight moving or not?

If static, i.e. then friction is proportional to the normal force of the mass on the surface.

If moving at constant velocity, what does that imply?

If the mass is acceleration, what does that imply?
 

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