r torques. It primarily focuses on joint displacements, velocities, and accelerations. Step-by-Step Approach Define Coordinates and Reference Frames: Assign coordinate axes to each link. Specify fixed points and initial p
r at the point of contact. Represent Gear Contact Points At the point of contact between gears, draw lines (tangents) representing the direction of gear tooth motion. Ensure the velocity vectors are tangent to th
edom The degrees of freedom (DOF) of a mechanism denote the number of independent parameters needed to define its position: Calculated using Grübler’s equation: \[ \text{DOF} = 3(n - 1) - 2j - h \] where: \( n \) = number of links (including the frame) \( j \) = number of lower pairs (single-DO
uld compromise surface finish or dimensional tolerances. Robotics and Manipulators Robotic arms and manipulators rely heavily on exact constraints to achieve accurate end-effector positioning. Kinematic synthesis ensures: The desired workspace coverage The elimination of unwanted DOFs that could c
