This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: RECTILINEAR KINEMATICS (straight line motion of particles) RECTILINEAR KINEMATICS (constant acceleration) PROJECTILE MOTION (same as Rectilinear Kinematics above, but ) Curvilinear Motion ( (Two forms of problems) Path Given (in xy plane) y=f(x), use chain rule to find vx, ax, vy, ay (2 of these must be known in order to solve) CHAIN RULE EXAMPLE: is given as a path equation. Find the 1st and 2nd time derivatives of this equation. Parametric Equations Given: can be R (t), v (t), or a (t) nt acceleration or and Instantaneous Center (IC) Method : v B = v B/IC v B/IC = ϖ x r B/IC RIGID BODY MOTION and FIXED AXIS ROTATION Angular motion Constant α Fixed Axis Rotation – motion of a POINT r v ϖ = MESHED GEARS ω=dθ/dt α=dω/dt Arc Lengths Velocities Tangential accelerations WORK ENERGY ∑ ∑ ∑ = + 2 2 1 1 T U T U Force = Fcosθ * distance U Force = ds F S S ∫ 2 1 cos θ U weight = +/mg(h 2h 1 ) U spring = (1/2)k ) ( 2 1 2 2 s s U constant couple = m (Δθ If m is not constant,...
View
Full
Document
 Spring '06
 GRANTHAM

Click to edit the document details