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In the system shown in the figure, the OA arm rotates around the 0 cylindrical joint, the AB arm rotates around A cylindrical joint. At a instant t (time), The angular velocity of the OA arm, w OA = 8 rad/s,angular acceleration a OA = 3 rad/s2. The angular velocity of AB arm ,w AB = 6 rad/s and its angular acceler

In the system shown in the figure, the OA arm rotates around the 0 cylindrical joint, the AB arm rotates around A cylindrical joint. At a instant t (time), The angular velocity of the OA arm, w OA = 8 rad/s,angular acceleration a OA = 3 rad/s2. The angular velocity of AB arm ,w AB = 6 rad/s and its angular acceler

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Rotational Dynamics of a Two-Arm System** In the system shown in the figure, the OA arm rotates around the O cylindrical joint, and the AB arm rotates around the A cylindrical joint. At an instant \( t \) (time \( t \)), the angular velocity of the OA arm (\( \omega_{OA} \)) is 8 rad/s, and the angular acceleration (\( \alpha_{OA} \)) is 3 rad/s². The angular velocity of the AB arm (\( \omega_{AB} \)) is 6 rad/s and its angular acceleration (\( \alpha_{AB} \))... **Diagram Explanation** The figure shows a double-arm rotational system. Key components and notations include: - Point \( O \): The pivot around which arm \( OA \) rotates. - Point \( A \): The pivot around which arm \( AB \) rotates. - Point \( B \): The end of arm \( AB \). - Lengths: - \( \overline{OA} = 26 \text{ cm} \) - \( \overline{AB} = 20 \text{ cm} \) - Angular positions and velocities: - \( \omega_{OA} \): Angular velocity of arm \( OA \). - \( \alpha_{OA} \): Angular acceleration of arm \( OA \). - \( \omega_{AB} \): Angular velocity of arm \( AB \). - \( \alpha_{AB} \): Angular acceleration of arm \( AB \). - \( \theta \): Angle between \( OA \) and the horizontal axis. - \( \varphi \): Angle between \( AB \) and the extension of \( OA \). **Question** Which of the following vectors is correct? A. \( -2345.33 \,i - 2674.2 \,j \) B. \( -1785.54 \,i - 2118.3 \,j \) C. \( -1436.95 \,i - 1882.9 \,j \) D. \( -2715.12 \,i - 1218.3 \,j \) E. \( -2115.32 \,i - 1945.3 \,j \)
Transcribed Image Text:**Rotational Dynamics of a Two-Arm System** In the system shown in the figure, the OA arm rotates around the O cylindrical joint, and the AB arm rotates around the A cylindrical joint. At an instant \( t \) (time \( t \)), the angular velocity of the OA arm (\( \omega_{OA} \)) is 8 rad/s, and the angular acceleration (\( \alpha_{OA} \)) is 3 rad/s². The angular velocity of the AB arm (\( \omega_{AB} \)) is 6 rad/s and its angular acceleration (\( \alpha_{AB} \))... **Diagram Explanation** The figure shows a double-arm rotational system. Key components and notations include: - Point \( O \): The pivot around which arm \( OA \) rotates. - Point \( A \): The pivot around which arm \( AB \) rotates. - Point \( B \): The end of arm \( AB \). - Lengths: - \( \overline{OA} = 26 \text{ cm} \) - \( \overline{AB} = 20 \text{ cm} \) - Angular positions and velocities: - \( \omega_{OA} \): Angular velocity of arm \( OA \). - \( \alpha_{OA} \): Angular acceleration of arm \( OA \). - \( \omega_{AB} \): Angular velocity of arm \( AB \). - \( \alpha_{AB} \): Angular acceleration of arm \( AB \). - \( \theta \): Angle between \( OA \) and the horizontal axis. - \( \varphi \): Angle between \( AB \) and the extension of \( OA \). **Question** Which of the following vectors is correct? A. \( -2345.33 \,i - 2674.2 \,j \) B. \( -1785.54 \,i - 2118.3 \,j \) C. \( -1436.95 \,i - 1882.9 \,j \) D. \( -2715.12 \,i - 1218.3 \,j \) E. \( -2115.32 \,i - 1945.3 \,j \)
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