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Understanding Friction: Types, Math, and Impact on Motion

Learn about the force of friction between objects, its types - static, sliding, rolling, and fluid friction, the mathematical equation Ff = μFN, and how it affects motion. Discover the coefficients of friction, normal force, pressure concepts, and examples illustrating the importance of friction in real-life scenarios.

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Understanding Friction: Types, Math, and Impact on Motion

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  1. Friction Friction Ff is a force that acts between 2 touching objects always parallel to the 2 surfaces in contact always opposite the direction of (attempted) motion so make sure you make it negative when placed in the Fneteq’n

  2. 3 Types of Friction between solid surfaces 1. Static - Ffs – opposes the start of motion For any 2 given surfaces, it has a range of values: 0 < Ffs < max when motion begins 2. Sliding (kinetic) - Ffk – opposes the actual motion Has a constant value for any 2 given surfaces Contrary to popular belief, does NOT depend on Amount of surface area touching Relative speed between the 2 surfaces 3. Rolling – like with a ball – more in Ch 11

  3. The math of friction: Ff = μFN so the amount of friction depends on 2 things: 1. μ is the Greek letter mu • it represents the coefficient of friction • “the nature of the 2 surfaces in contact…” • it has no units: μ = Ff /FN would cancel the only units of Newton/Newton • its value is determined experimentally by the 2 materials in contact (see chart) Note: static friction is generally greater than sliding friction for any 2 surfaces. This explains why it’s harder to get an object moving than it is to keep it moving! (Not due to inertia!)

  4. Coefficients of Friction (approximate)

  5. (The math of friction: Ff = μFN) (so the amount of friction depends on 2 things:) 2. FN is the normal force • Recall this is the perpendicular supporting force of a surface that’s under an object • Determined by how much the 2 surfaces are pressed together as they try to move across each other • So while FN is not the weight, the weight will often play some role here This is a magnitude only equation – it only determines the size of the force of friction. Ff’s direction is always negative, but we don’t deal with that when using this equation.

  6. Pressure… it’s different than Force Pressure - the amount of force per unit of area The math Eq’n: Pressure = Force/Area or P = F/A Units: Pascals= Newtons/meters2 or Pa = N/m2 (common units in our system are lbs/in2) Examples • Petite woman’s high heel vs large man’s dress shoe: He might be 2x’s as heavy (F), but spread over 200x’s more area (A)… so that’s 100x’s more pressure (P) from woman’s heel! • Bed of nails… As painful as 400 nails may seem, compare it to only 100 nails or to only 10 nails or to just 1 nail… Ouch!

  7. 4th Type of Friction: Fluid Friction Friction doesn’t only occur between solid surfaces – it occurs between fluids too. A fluids is anything that flows so liquids and gases are both fluids. Examples: running thru water shooting a gun under water (Myth Busters) Air resistance…

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