Model Constrained Systems as DAEs

Model the motion of a single pendulum.

    
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Derive the governing equations using Newton's second law of motion, and :
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Express the fixed length of the pendulum rod as an algebraic constraint:
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The pendulum is released from the horizontal position with a vertical velocity of 1:
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Specify the physical parameters for the pendulum system:
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Solve the high-index DAE and visualize the system:
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