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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