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Can I get a hand with the following robotics question. 4. The figure below shows a simple bicycle model where the forward motion of the

Can I get a hand with the following robotics question.

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4. The figure below shows a simple bicycle model where the forward motion of the bicycle is in the positive XR direction and the origin is centred on the rear wheel of the bicvcle. The distance between the centres of the two wheels is 1m and the radius of both wheels is 0.3m. The front wheel is steerable and is currently turned at an angle of E radians. I YR l x I I I r I 1' I '1 \"r E (I: Tr/'l- (I Id' It I ""F""" . """"T'\"""""x ."'"'""""' a i X ; \\ : I l \\\\ ' I HI': 0,0) {I | I : a? I I I r' = 0.3m! I : i ' I = 1:11 {i} Write down the rolling constraint for each of the wheels. {ii} Write down the inverse differential kinematics for the platform. (iv) If a third fixed wheel is added to the bicycle inline and to the rear of the back wheel, as shown in the figure below, what will be the effect of this third wheel on the degree of mobility of the platform? Explain your answer. l-lm . I=1m

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