Question: Solve rolling disc problem by both Newton's Method and Lagrange's Method. This problem involves rotating relative coordinates. The coordinate is measured counter-clockwise absolutely as

Solve rolling disc problem by both Newton's Method and Lagrange's Method. This

Solve rolling disc problem by both Newton's Method and Lagrange's Method. This problem involves rotating relative coordinates. The coordinate is measured counter-clockwise absolutely as the line from the center of curvature of the surface through the center of the disc. The o coordinate is measured clockwise relative to the point of contact of the disc with the surface. [Note: be very careful about the kinematics; and the line through the 'cg defining 8 and is NOT a cable/rod.] Rolls w/o slipping. R o 5-H) Using Newton's Method, select a set of coordinates, draw the complete two-sided free body diagram, identify any constraint equations, and determine the equations of motion for the adjacent figure in terms of the given coordinate 8.

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