1. The number degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is (a)1 (b) 2 (c) 3 (d) 4

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For the 3-DOF Industrial manipulator arm as shown in Figure 1,  determine the joint displacements using inverse kinematics approach for known position and orientation of the end of the arm point.   The link transformation matrices are given by

Q3. You should draw a three DoF (Degree of freedom) eight link (n=8) mechanism with revolute joints. You should verify DoF mechanism using mobility formulations.

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Design a 4-bar linkage to carry the body in Figure 1 through the two positions P1 and P2 at the angles shown in the figure. Use analytical synthesis with the free choice values z = 1.075, p = 210°, B-27° for left side and s = 1.24, w= 74°, 2=-40° for right side. Y 1.236 P2 147.5° 210° 2.138 Py Figure 1 X

2) Block 4 slides in a slot in the fixed piece 1. Axis Q₂ of crank 2 is fixed on 1. Q₂₂A = 1 1/2 in., and AB = 4/1/2 Draw the mechanism, assuming limen- sions for 1, if desired, or use center lines only. Draw the four-bar linkage for this mechanism, properly rotate the linkage Q₂ ABQ400; Name each link, and show the finite and infinite cranks. Frind graphically the two extreme positions of 13, The axis of the pin by which link 3 is attached to the block 4.. Dimension the length of the stroke of B. Ans. 3& in. for scale 1:1

I need her solving with conting on the graph Link and j1 and j2 pls quickk