In This World

/in /by

I have a MATLAB assignment for Engineering Dynamics to work on and am having difficulty with some parts:

  • In this world: the planar rigid body is a polygon with density density; the four springs have a stiffness of springStiffness; springRestLengths is a vector containing the four natural lengths of the four springs; and there’s a function that returns the mass of the rigid body m and the moment of inertia about its center of gravity IG
  • We have these global variables:
  • m IG g local_corner_x local_corner_y
  • FxInitial FyInitial MInitial initialForceDuration
  • springAnchorPositions springRestLengths springStiffness springObjectAttachmentIndices

How would I setup the equations to calculate the derivatives of these 6 variables:

  • the horizontal position of the center of the polygon?
  • the vertical position of the center of the polygon?
  • the angle of the polygon, in radians?
  • the horizontal velocity of the center of the polygon, in meters per second?
  • the vertical velocity of the center of the polygon, in meters per second?
  • the angular velocity of the polygon, in radians per second?
 
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