Dynamics Crib Sheet3 - RECTILINEAR KINEMATICS(straight line...

Info icon This preview shows pages 1–2. Sign up to view the full content.

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 x-y 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) n-t 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 2 -h 1 ) U spring = -(1/2)k ) ( 2 1 2 2 s s - U constant couple = m (Δθ If m is not constant, U couple = θ θ θ d m 2 1 T = 2 2 2 1 2 1 ϖ G G I mv + POWER
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Image of page 2
This is the end of the preview. Sign up to access the rest of the document.
  • Spring '06
  • GRANTHAM
  • DT DT DT

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern