Lecture 10: Rigid Body Physics – Review Questions
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Draw a block diagram of a system for simulating the motion of a particle moving
freely in space while subjected to external forces. Use the equations of motion for
a particle (f=ma). Consider the questions of how you will represent particle state,
how you will integrate motion forward in time, and how you will display the
results.
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What is Euler integration? Illustrate with an equation.
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Assume frictionless motion along the roller coaster track under the influence of
gravity. Show that we can obtain velocity for a particle traveling along the track
using the principle of conservation of energy.
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Knowing the velocity of the particle on the roller coaster track gives us distance
traveled over a small timestep. How do we compute this distance traveled to a
change in the parameter u with which the roller coaster curve is parameterized?
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What is Simpson integration? What are the advantages of Simpson integration
over Euler integration?