Write the vector loop equations and indicate the fixed constants, variables, and constraint equations for the following mechanism assuming link 2 is the input.

herr solving pls very urgent

Seen in Figure 1, a small cart (with mass m and position x2) is riding inside a larger cart, which is massless, and has a position ₁. A spring and a damper in parallel connect the larger cart to the smaller cart, and another spring connects the exterior of the large massless cart to an input position, . For this problem, the diagram is similar to the one in Homework 2, Problem 1. It has the same equations of motion. You are not required to re-derive the equations of motion - please reference the solutions. Given this, Xu k im x1 k ww m x2 (tiven equation of motion: Ⓒ Small cart : m x2 + ((x₂-x₂)+ K(x₂-x) =Ô @lage corr: K (x₂-2x₁ + x ₁ ) + C (x₂-x) = 0 Figure 1: Schematic of the mechanical system to model in Problem 1. Your tasks: A. Find the state-space equations for the system in matrix form using ₁ and 2 and their derivatives. B. Represent the mechanical system in 2nd order matrix form using ₁ and 2 and their derivatives.

i need to solve part b pls quickk very urgent part (a) is solved

1.  The joints of an RR open chain robot manipulator are rotation around the X axis followed by rotation around the new Y axis, from proximal to distal end.  Determine the rotation matrix from the base to the end effector if actuator 1 command is 60 degrees and actuator 2 command is -45 degrees.

Sketch a planar linkage that has the ability to pick up a small ball and move it from one location to another using hinge joint. The sketch of the planar linkage should be able to operate in at least 3 degrees of freedom: rotation along pitch and yaw, and translation through the center of motion.

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4. A general fourbar linkage configuration and its notation are shown in the following figure and table. Find a 3, a 4,A¼, ABA, AB,Ap for open circuit by vector loop method. Row Link 1 Link 2 Link 3 Link 4 02 Rpa 63 6 2 7 9 30 10 6 30 - 12 - 15 7 3 8 85 25 3 10 6 8 45 -10 10 80 d 7 25 24 - 4 45 e 75 -50 10 300 Rp B A 03 2 X 04 NO O55

Find the transformation matrix for the following transformations: 1) Rotate 45° about Xo-axis. (Xo, Yo, Zo) → (X₁, Y₁, Z₁); 2) Followed by a rotation of 90° about Xo-axis. (X₁, Y₁, Z₁)→ (X₂, Y₂, Z₂); 3) Followed by a rotation of 60° about Y₂-axis. (X₂, X2, Z2)→ (X3, Y, Z3); 4) Followed by a rotation of 60° about Z₂-axis. (X3, Y3, Z3) → (X, Y4, Z4). Note: give final answer in matrix multiplication form, no need to write out the elements of the matrices or multiply the matrices out. URALLY AND AFICIALLY LG

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