An Omnidirectional robot, the geometrical configuration of which is shown in figure 1 with its position and direction, is to transverse the path shown in figure 2. Answer the following: A- Assuming the omnidirectional robot has a camera mounted on its y-axis as drawn in figure 1. Determine what wheel velocities are required for ensuring the camera is always facing south and for what duration to navigate the routes from A to E. B- Assuming the maximum rotational velocity of a differential mobile robot is 0.25 rad/s with 0.2m wheel radius and L = 0.4m. What is the shortest time that the robot can navigate route from A to D (assume the head of robot in the route direction) shown in figure 2? YR R=1.275m M 50 CM 12 CM Figure 1 Omni-robot XR A бм Co 5m D 5M W B Figure 2 Routes of the robot

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An Omnidirectional robot, the geometrical configuration of which is shown in figure 1
with its position and direction, is to transverse the path shown in figure 2. Answer the
following:
A- Assuming the omnidirectional robot has a camera mounted on its y-axis as drawn in
figure 1. Determine what wheel velocities are required for ensuring the camera is
always facing south and for what duration to navigate the routes from A to E.
B- Assuming the maximum rotational velocity of a differential mobile robot is 0.25
rad/s with 0.2m wheel radius and L = 0.4m. What is the shortest time that the robot
can navigate route from A to D (assume the head of robot in the route direction) shown
in figure 2?
YR
R=1.275m
M
50 CM
12 CM
Figure 1 Omni-robot
XR
A
бм
Co
5m
D
5M
W
B
Figure 2 Routes of the robot
Transcribed Image Text:An Omnidirectional robot, the geometrical configuration of which is shown in figure 1 with its position and direction, is to transverse the path shown in figure 2. Answer the following: A- Assuming the omnidirectional robot has a camera mounted on its y-axis as drawn in figure 1. Determine what wheel velocities are required for ensuring the camera is always facing south and for what duration to navigate the routes from A to E. B- Assuming the maximum rotational velocity of a differential mobile robot is 0.25 rad/s with 0.2m wheel radius and L = 0.4m. What is the shortest time that the robot can navigate route from A to D (assume the head of robot in the route direction) shown in figure 2? YR R=1.275m M 50 CM 12 CM Figure 1 Omni-robot XR A бм Co 5m D 5M W B Figure 2 Routes of the robot
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