8-1: Dynamics in Two Dimensions
- a(x) = -Av(x)sqrt(v(x)^2+v(y)^2)/(4m)
- a(y) = -g - Av(x)sqrt(v(x)^2+v(y)^2)/(4m)
8-2: Velocity and Acceleration in Uniform Circular Motion
- v = wr
- a = v^2/r
- a = w^2*r
-the r-axis (radial axis) points from the partic
7.4 Ropes and Pulleys
-the tension in a massless string is constant
-if objects A and B interact with each other through a maseless string, we can omit the string and
treat forces F(A on B) and F(Bon A) as if they are an action/reaction pair.
-the string
7.1 Interacting Objects
-an interaction is the mutual influence of two object on each other
-an action/reaction pair of forces exists as a apair, or not at all
-the system is those objects whose motion we want to analyze and the environment as objects
ext
6.5 Drag
-drag force D: is opposite in direction to v, increases in magnitude as the object's speed
increases.
-drag dpends on the object's shape and on the density of the medium through which it moves.
-modle of drag: the object's size is between a few m
6.1 Equilibrium
-(F(net)(x)=sigma(x)(F(i)(x)=0
-(F(net)(y)=sigma(y)(F(i)(y)=0
-the equilibrium condition of Equations 6.1 applies only to particles, which cannot rotate.
-equilibrium of an extended object, which can rotate, requires an additional conditio
5.1 Force
-kinematics (of how something moves) and dynamics (cause of the motion) create mechanics
(the general science of motion)
-a force is a push or a pull
-a force acts on an object (pushes and pulls are applied to something-an object)
-a force requi
4.1 Acceleration
a points in the same direction as delta v
velocity can change in magnitude and direction
a(parallel) is the piece of the acceleration vector that changes the speed
a(perpendicular) is the piece of the acceleration that causes the velocity
5.4 What Do Forces Do? A Virtual Experiment
-two identical rubber bands, each stretched to the standard length, exert twice the pull of one
rubber band: F(net)=2F
-so F(net)=NF
-an object pulled with a constant force moves with a constant acceleration
-th