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Unit 4.3 Friction Teacher: Dr. Van Der Sluys Objectives • Types of friction – Static – Kinetic • Force of friction and the normal force • Horizontal friction problems • Incline problems with friction Friction • Friction is due to contact forces between two surfaces. • The force of friction (Ff) is perpendicular to the normal force acting between two materials and opposes the applied force (F a ) that causes sliding. FN Fa Ff surface F g surface 1 Static Friction • Static friction refers to a force parallel to the two surfaces that can arise when the two materials are not sliding across one another. • On the molecular level, the ridges and valleys of the two surfaces are locked together and the force of static friction must overcome this resistance. Surface 2 Surface 1 Kinetic Friction • Kinetic friction is the resistance to motion that results from two surfaces that interact while skidding across one another while in contact. Constant Velocity Surface 2 Surface 1 The Friction Equation FF = µ FN FF = Force of friction FN = Normal Force µ = coefficient of friction 2 Coefficients of Friction Surfaces Coefficients of Static Friction (ms) Coefficients of Kinetic Friction (mk) Wood on Wood 0.4 0.2 Rubber on dry concrete 1.0 0.8 Rubber on wet concrete 0.7 0.5 Lubricated ball bearings <0.01 <0.01 Synovial Joints (Humans) 0.01 0.01 Getting an Object to Move • If an object is at rest, the applied horizontal force must exceed the force of static friction. • Once the object begins to slide, if the applied force equals the force of kinetic friction the object will move with constant velocity (no acceleration). • Once the object is moving, if the applied force is greater than the force of kinetic friction, the object will accelerate. Example • A 10.0 kg box rests on a horizontal floor. The coefficient of static friction is µs = 0.40 and the coefficient of kinetic friction is µk = 0.30. Determine the force of friction, FF, acting on the box if a horizontal external applied force is exerted with a magnitude of (a) 0 N; (b) 10 N; (c) 38 N; (d) 40 N. 3 Pushing or Pulling a Sled • If a child on a sled is on flat ground, will you exert less force if you push down on the back of the child or pull up on the rope with the same angle. • Draw the free-body diagrams. Objects Sliding on an Incline y FN Motion FF x Fg θ Components of Weight http://rt210.sl.psu.edu/phys_anim/mech/indexer_mech.html 4 Example • A 10.0 kg box is sliding down a 20° incline with a constant velocity. If the coefficient of kinetic friction is 0.50, what is the force of friction that the surface exerts on the box? Answer 0.36 5