The sketch shows the top view of a sled that is towed over the ice by fastening a cable to hook C. Force F is the tensile force applied to the tow cable at its free end P; its magnitude and direction angle ß relative to the sled's center line are known functions of time. The edge contact constrains the velocity of points A and B to be parallel to the rails, but the speed of each point may be different. Generalized coordinates have been selected as the east and north coordinates of the center of mass G and the heading angle θ. The radius of gyration about the vertical centroidal axis is KG. Use Lagrange's equations and Lagrange's multipliers to derive the equations of motion for this system.

Transcribed Image Text:

Y (north) -X (east) B L B B VB H P Y (north) -X (east) B L B B VB H P

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Draw the loaded diagram of structure End plate Comment 4 in for Ain above equation Divide the total ... View the full answer