2 Task Task 1 (40%): Get the Jacobian of the three-link manipulator below. As shown all three joints are revolute. Joint 1's axis is not parallel to the other two. Instea twist of 90 degrees in magnitude between axes 1 and 2. Write in terms of a frame at the tip of the hand and having the same orientation as frame {3}. Derive the Jac different ways: velocity propagation from base to tip, static force propagation from and by direct differentiation of the kinematic equations. Compare these three app discuss their pros and cons. 02

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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2 Task
Task 1 (40%): Get the Jacobian of the three-link manipulator below. As shown in the figure,
all three joints are revolute. Joint 1’s axis is not parallel to the other two. Instead, there is a
twist of 90 degrees in magnitude between axes 1 and 2. Write in terms of a frame {4} located
at the tip of the hand and having the same orientation as frame {3}. Derive the Jacobian in three
different ways: velocity propagation from base to tip, static force propagation from tip to base,
and by direct differentiation of the kinematic equations. Compare these three approaches and
discuss their pros and cons.
83
62
L1
Fig. 1. A 3R nonplanar arm
Transcribed Image Text:2 Task Task 1 (40%): Get the Jacobian of the three-link manipulator below. As shown in the figure, all three joints are revolute. Joint 1’s axis is not parallel to the other two. Instead, there is a twist of 90 degrees in magnitude between axes 1 and 2. Write in terms of a frame {4} located at the tip of the hand and having the same orientation as frame {3}. Derive the Jacobian in three different ways: velocity propagation from base to tip, static force propagation from tip to base, and by direct differentiation of the kinematic equations. Compare these three approaches and discuss their pros and cons. 83 62 L1 Fig. 1. A 3R nonplanar arm
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