Lecture 2: More Forces Physics 101: Lecture 2, Pg 1 Springs Similar to tension, normal Reactive Changes length according to tension F = -k Δx k=50 N/m 10kg Physics 101: Lecture 2, Pg 2 Free Body Diagrams Choose Object (book) Label coordinate axis Identify All Forces Hand (to right) Gravity (down) Normal (table, up) Normal friction hand Friction (table, left) Gravity Physics y x Physics 101: Lecture 2, Pg 3 40 Clicker Question: A box is hanging in an elevator by a rope. The elevator is accelerating up at 2 m/s2 a= 2 m/s2 •10kg Compare the magnitude of the Tension to the magnitude of the Force of gravity A |Fg| < |T| B |Fg| = |T| C |Fg| > |T| Physics 101: Lecture 2, Pg 4 Friction(Static) No motion between surfaces (can be rolling) Magnitude of frictional force (parallel to surfaces) is proportional to the normal force. fstatic <= ms N Be ms coefficient of Static friction Careful! Static friction <=, can be any value up to msN It is reactive just like Normal, Tension Physics 101: Lecture 2, Pg 5 42 Example: speeding truck What is the magnitude of the force of friction on box? m=10kg µs = 0.4 a= 2m/s2 Physics 101: Lecture 2, Pg 6 Example: speeding truck What is the maximum acceleration of the truck? m=10kg µs = 0.4 a= 2m/s2 Physics 101: Lecture 2, Pg 7 Friction (kinetic) Similar name, but behaves very differently! fkinetic = mk N mk coefficient of Kinetic friction The equals sign means we always know the magnitude Direction is always opposite of motion Physics 101: Lecture 2, Pg 8 Example: pulling a box What is the acceleration of the box? 40N m=10kg •µk=0.3 Physics 101: Lecture 2, Pg 9 Newton’s 3rd law Forces come in pairs Same type (gravity, normal, friction) Different objects Always same magnitude, opposite direction Physics 101: Lecture 2, Pg 10 Clicker Question Two blocks are being pulled along a frictionless floor by a 30N force T 5kg 30N 10kg frictionless What is the magnitude of the Tension, T, on the rope between the blocks? A T = 30N B T < 30N C T > 30N Physics 101: Lecture 2, Pg 11 Example: pulling 2 blocks T 5kg 30N 10kg frictionless •Solve for acceleration •Solve for tension Physics 101: Lecture 2, Pg 12 Example: pulling 2 blocks T 5kg 30N 10kg µk= 0.2 •Solve for acceleration •Solve for tension Physics 101: Lecture 2, Pg 13