2. Give the dimension of the configuration spaces of the following systems. Explain your answers. (a)...

 

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2. Give the dimension of the configuration spaces of the following systems. Explain your answers. (a) Two mobile robots rotating and translating in the plane. (b) Two translating and rotating planar mobile robots tied together by a rope. (c) Two translating and rotating planar mobile robots connected rigidly by a bar. (d) The two arms of a single person (with torso stationary) holding on firmly to a car's steering wheel. (e) A train on train tracks. What if we include the wheel angles? (The wheels roll without slipping.) (1) A spacecraft with a 6R robot arm. (g) The end effector of the 6R robot arm of a spacecraft. (h) Your legs as you pedal a bicycle (remaining seated with feet fixed to the pedals). (i) A sheet of paper. 2. Give the dimension of the configuration spaces of the following systems. Explain your answers. (a) Two mobile robots rotating and translating in the plane. (b) Two translating and rotating planar mobile robots tied together by a rope. (c) Two translating and rotating planar mobile robots connected rigidly by a bar. (d) The two arms of a single person (with torso stationary) holding on firmly to a car's steering wheel. (e) A train on train tracks. What if we include the wheel angles? (The wheels roll without slipping.) (1) A spacecraft with a 6R robot arm. (g) The end effector of the 6R robot arm of a spacecraft. (h) Your legs as you pedal a bicycle (remaining seated with feet fixed to the pedals). (i) A sheet of paper.

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Lets analyze each system and determine the dimension of their configuration spaces a Two mobile robots rotating and translating in the plane The confi... View the full answer