Why does friction point the opposite as gravity?

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SUMMARY

The discussion centers on the mechanics of friction and its relationship with gravity, specifically in the context of a 280-kg piano sliding down a 30-degree incline. The key conclusion is that friction always acts against the direction of relative motion between surfaces in contact. In this scenario, the man pushing against the piano exerts a force that counteracts the component of gravity acting down the incline, while friction assists him by acting in the opposite direction of the piano's motion. This understanding clarifies why friction opposes gravity in this case, as it is determined by the direction of motion rather than the forces acting on the object.

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  • Understanding of Newton's laws of motion
  • Basic knowledge of forces, including gravity and friction
  • Familiarity with vector components in physics
  • Concept of relative motion between surfaces
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Homework Statement


a 280-kg piano slides 4.3m down a 30 degree incline and is kept from accelerating by a man who is pushing back on it parallel to the incline.

I know how to find the solution, but there's something that I don't understand about why it's that way. In order to find the force the man needs to exert to keep it from accelerating you subtract the friction force by the component of gravity. But I don't get why you subtract it rather than adding it. If it is not accelerating how do you determine which direction the friction force is acting? At first I thought it would be along the same direction of the horizontal component of gravity because it slides down that way, but instead friction is helping the man in this case. Why does it point against gravity and how are you able to tell? Thanks!
 
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Friction always acts against motion. Acceleration is irrelevant here.
For example, if you throw a ball up in the air, its acceleration will always be the same - g pointing down, but the direction of velocity will change from up to down, and similarly the air resistance (friction) will change direction as well.
 
Bandersnatch said:
Friction always acts against motion.
To be precise, it acts against relative motion of surfaces in contact. Thus, friction does not act to oppose the motion of a rolling ball on a level surface, since even if friction were to suddenly vanish the surfaces in contact would not move relative to each other. Similarly, friction does not oppose the forward movement of a driven car. It opposes the tendency for the wheels to skid, so it acts forwards, propelling the car.
 

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