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Problem 1 = UHart Mechatronics students have developed a robotic arm programmed to an angular position in polar coordinates with the relationship (2/л) sin(лt), where and t are expressed in radians and seconds, respectively. Simultaneously, the arm is pro- grammed to extend so that the distance to A follows the relationship r = 4 + 3e-1.4t, where r and t are expressed in feet and seconds, respectively. When t = 2.65 s, Determine: (a) the velocity of point A in polar coordinates (êr and ê), (b) the velocity of point A in rectangular coordinates, (î and ĵ) (setup and use a transformation matrix) (c) the acceleration of point A in polar coordinates (ê, and êŋ) (d) the acceleration of point A rectangular coordinates (î and ĵ)

Problem 1 = UHart Mechatronics students have developed a robotic arm programmed to an angular position in polar coordinates with the relationship (2/л) sin(лt), where and t are expressed in radians and seconds, respectively. Simultaneously, the arm is pro- grammed to extend so that the distance to A follows the relationship r = 4 + 3e-1.4t, where r and t are expressed in feet and seconds, respectively. When t = 2.65 s, Determine: (a) the velocity of point A in polar coordinates (êr and ê), (b) the velocity of point A in rectangular coordinates, (î and ĵ) (setup and use a transformation matrix) (c) the acceleration of point A in polar coordinates (ê, and êŋ) (d) the acceleration of point A rectangular coordinates (î and ĵ)

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Problem 1 UHart Mechatronics students have developed a robotic arm programmed to an angular position in polar coordinates with the relationship = (2/à) sin(πt), where and t are expressed in radians and seconds, respectively. Simultaneously, the arm is pro- grammed to extend so that the distance to A follows the relationship r = 4 + 3e-1.4t, where r and t are expressed in feet and seconds, respectively. When t = 2.65 s, Determine: (a) the velocity of point A in polar coordinates (êr and êŋ), (b) the velocity of point A in rectangular coordinates, (î and ĵ) (setup and use a transformation matrix) (c) the acceleration of point A in polar coordinates (ê, and êŋ) (d) the acceleration of point A rectangular coordinates (î and ĵ)
Transcribed Image Text:Problem 1 UHart Mechatronics students have developed a robotic arm programmed to an angular position in polar coordinates with the relationship = (2/à) sin(πt), where and t are expressed in radians and seconds, respectively. Simultaneously, the arm is pro- grammed to extend so that the distance to A follows the relationship r = 4 + 3e-1.4t, where r and t are expressed in feet and seconds, respectively. When t = 2.65 s, Determine: (a) the velocity of point A in polar coordinates (êr and êŋ), (b) the velocity of point A in rectangular coordinates, (î and ĵ) (setup and use a transformation matrix) (c) the acceleration of point A in polar coordinates (ê, and êŋ) (d) the acceleration of point A rectangular coordinates (î and ĵ)
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