● A ● 5 rad/s .2 rad/s² 3 ft x 3 rad/s -2 rad/s² B 2 ft • The robotic arm shown above has a fixed orange base at A and fixed length members AB and BC. 30⁰ Motors at A and B allow for rotational motion at the joints. Based on the angular velocities and accelerations shown at each joint (described with respect to the fixed frame): O Determine the velocity at the end effector at C o Determine the acceleration at the end effector at C

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Robotic Arm Dynamics:**

The diagram illustrates a robotic arm with a fixed orange base at point A and two arm segments: AB and BC. The arm is positioned in a 2D plane with a coordinate system labeled x and y.

### Diagram Explanation:

- **Arm Segments:**
  - Segment AB is 3 feet long.
  - Segment BC is 2 feet long and tilted at a 30° angle from the horizontal.

- **Joint Rotations:**
  - Joint at A: 
    - Angular velocity: 5 rad/s
    - Angular acceleration: 0.2 rad/s²
  - Joint at B:
    - Angular velocity: 3 rad/s
    - Angular acceleration: -2 rad/s²

### Problem Statement:

The task is to calculate the kinematic parameters at the end effector located at point C. Specifically, you are required to:

- Determine the velocity at the end effector at C.
- Determine the acceleration at the end effector at C.

This analysis involves understanding rotational motion dynamics and applying them to calculate linear velocities and accelerations based on given angular velocities and accelerations.
Transcribed Image Text:**Robotic Arm Dynamics:** The diagram illustrates a robotic arm with a fixed orange base at point A and two arm segments: AB and BC. The arm is positioned in a 2D plane with a coordinate system labeled x and y. ### Diagram Explanation: - **Arm Segments:** - Segment AB is 3 feet long. - Segment BC is 2 feet long and tilted at a 30° angle from the horizontal. - **Joint Rotations:** - Joint at A: - Angular velocity: 5 rad/s - Angular acceleration: 0.2 rad/s² - Joint at B: - Angular velocity: 3 rad/s - Angular acceleration: -2 rad/s² ### Problem Statement: The task is to calculate the kinematic parameters at the end effector located at point C. Specifically, you are required to: - Determine the velocity at the end effector at C. - Determine the acceleration at the end effector at C. This analysis involves understanding rotational motion dynamics and applying them to calculate linear velocities and accelerations based on given angular velocities and accelerations.
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