Question:

What is the order of basic transformation of frame {i-1} to frame {i}:
(A). Translation along \(z_{i-1}\) axis by distance \(d_i\)
(B). Rotation by an angle \(\alpha_i\) about \(x_i\)-axis 
(C). Translation along \(x_i\)-axis by distance \(a_i\) 
(D). Rotation by an angle \(\theta_i\) about \(z_{i-1}\)-axis
Choose the correct answer from the options given below:

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The transformation sequence is crucial for accurate kinematic modeling in robotic systems especially when dealing with multiple frames of reference
Updated On: Dec 30, 2024
  • (A), (B), (C), (D)
  • (A), (C), (D), (B)
  • (D), (B), (C), (A)
  • (D), (A), (C), (B)
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The Correct Option is B

Solution and Explanation

The order of transformation for frame \(i-1\) to frame \(i\) starts with translation along the \(z_{i-1}\) axis by distance \(d_i\), followed by translation along the \(x_{i-1}\) axis by distance \(a_i\), then rotation by an angle \(\theta_i\) about the \(z_{i-1}\) axis, and finally rotation by an angle \(\alpha_i\) about the \(x_{i-1}\) axis.
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