A robot is moving in a 2D planar world coordinate plane. Starting from the initial point, the robot has reached point (4,5) with a heading angle of 30° relative to the x-axis. The robot's body frame is oriented in such a way that its x-aris aligns with the direction of the robot's heading angle, and the y-axis is to the left of the robot. At that point, a sonar sensor, which is placed at (2, 1) w.r.t. body coordinate with an orientation 45° from the robot heading, has detected a point object 2 i.e. (2,0) meters directly in front of the itself. A robotic arm is also placed on the robot. The end-effector of this arm is located at (3,−1) w.r.t. robot body frame and aligning its y-axis with x-axis of body frame i.e. rotated 90° clockwise direction. b) A map is generated in the world coordinate frame by the information coming from the robot. Where should this object be located in the map?

A robot is moving in a 2D planar world coordinate plane. Starting from the initial point, the robot has reached point (4,5) with a heading angle of 30° relative to the x-axis. The robot's body frame is oriented in such a way that its x-aris aligns with the direction of the robot's heading angle, and the y-axis is to the left of the robot. At that point, a sonar sensor, which is placed at (2, 1) w.r.t. body coordinate with an orientation 45° from the robot heading, has detected a point object 2 i.e. (2,0) meters directly in front of the itself. A robotic arm is also placed on the robot. The end-effector of this arm is located at (3,−1) w.r.t. robot body frame and aligning its y-axis with x-axis of body frame i.e. rotated 90° clockwise direction. b) A map is generated in the world coordinate frame by the information coming from the robot. Where should this object be located in the map?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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