ROBOTICS MECHANICS AND CONTROL EXAM SCRIPT
2025/2026 QUESTIONS WITH SOLUTIONS GRADED A+
✔✔Off-line Programming System - ✔✔Robot programming without direct access to the
robot.
✔✔Computer Graphics in Programming - ✔✔Enhances off-line programming
environments for robots.
✔✔Production Equipment Efficiency - ✔✔Minimized downtime during robot
reprogramming increases productivity.
✔✔CAD Data Integration - ✔✔Links design phase data to manufacturing processes.
✔✔Notation in Science - ✔✔Conventions for representing variables in engineering.
✔✔Uppercase Variables - ✔✔Represent vectors or matrices in notation.
✔✔Lowercase Variables - ✔✔Indicate scalar quantities in notation.
✔✔Leading Subscripts - ✔✔Identify coordinate systems for quantities.
✔✔Rotation Matrix - ✔✔Specifies relationships between different coordinate systems.
✔✔Trailing Superscripts - ✔✔Indicate inverse or transpose of a matrix.
✔✔Trailing Subscripts - ✔✔May indicate vector components or descriptions.
✔✔Trigonometric Functions - ✔✔Notation includes various forms for cosine.
✔✔Column Vectors - ✔✔Vectors represented as vertical arrays.
✔✔Row Vectors - ✔✔Vectors represented as horizontal arrays.
✔✔Angular Velocity - ✔✔Sum of angular velocities in a manipulator chain.
✔✔Common Coordinate System - ✔✔Required for summing vector quantities
accurately.
✔✔Bookkeeping Problem - ✔✔Managing coordinate systems in vector calculations.
✔✔Frame of Reference - ✔✔Information carried in vector notation.
, ✔✔Numerical Computation - ✔✔Directly applicable expressions for calculations.
✔✔Industrial Robot Applications - ✔✔Includes tasks like spot welding and assembly.
✔✔Cost of Industrial Robots - ✔✔Declined over years, impacting labor cost
comparisons.
✔✔Degree of Freedom - ✔✔Independent movements available to a manipulator.
✔✔Position Control - ✔✔Maintaining a robot's position within a workspace.
✔✔Robot Programming Language - ✔✔Syntax and semantics for instructing robots.
✔✔Labor Cost Trends - ✔✔Rising costs impacting robotics adoption.
✔✔Computer Performance-Price Ratio - ✔✔Measure of computing efficiency over time.
✔✔MATLAB Robotics Toolbox - ✔✔Third-party toolbox for robotics mathematics.
✔✔Position Vector - ✔✔3 x 1 vector representing a point's location.
✔✔Orientation - ✔✔Description of a body's alignment in space.
✔✔Frame - ✔✔Entity containing position and orientation descriptions.
✔✔Transformation - ✔✔Operation changing position or orientation representation.
✔✔Unit Vectors - ✔✔Vectors indicating principal directions of a frame.
✔✔Transformation Arithmetic - ✔✔Mathematical operations involving transformations.
✔✔Dot Product - ✔✔Scalar product of two vectors.
✔✔Cross Product - ✔✔Vector product resulting in orthogonal vector.
✔✔Determinant - ✔✔Scalar value indicating matrix invertibility.
✔✔Inverse Matrix - ✔✔Matrix that, when multiplied, yields identity.
✔✔Linear Equations - ✔✔Equations representing straight-line relationships.
✔✔Logical Constructs - ✔✔Programming structures for decision-making.
2025/2026 QUESTIONS WITH SOLUTIONS GRADED A+
✔✔Off-line Programming System - ✔✔Robot programming without direct access to the
robot.
✔✔Computer Graphics in Programming - ✔✔Enhances off-line programming
environments for robots.
✔✔Production Equipment Efficiency - ✔✔Minimized downtime during robot
reprogramming increases productivity.
✔✔CAD Data Integration - ✔✔Links design phase data to manufacturing processes.
✔✔Notation in Science - ✔✔Conventions for representing variables in engineering.
✔✔Uppercase Variables - ✔✔Represent vectors or matrices in notation.
✔✔Lowercase Variables - ✔✔Indicate scalar quantities in notation.
✔✔Leading Subscripts - ✔✔Identify coordinate systems for quantities.
✔✔Rotation Matrix - ✔✔Specifies relationships between different coordinate systems.
✔✔Trailing Superscripts - ✔✔Indicate inverse or transpose of a matrix.
✔✔Trailing Subscripts - ✔✔May indicate vector components or descriptions.
✔✔Trigonometric Functions - ✔✔Notation includes various forms for cosine.
✔✔Column Vectors - ✔✔Vectors represented as vertical arrays.
✔✔Row Vectors - ✔✔Vectors represented as horizontal arrays.
✔✔Angular Velocity - ✔✔Sum of angular velocities in a manipulator chain.
✔✔Common Coordinate System - ✔✔Required for summing vector quantities
accurately.
✔✔Bookkeeping Problem - ✔✔Managing coordinate systems in vector calculations.
✔✔Frame of Reference - ✔✔Information carried in vector notation.
, ✔✔Numerical Computation - ✔✔Directly applicable expressions for calculations.
✔✔Industrial Robot Applications - ✔✔Includes tasks like spot welding and assembly.
✔✔Cost of Industrial Robots - ✔✔Declined over years, impacting labor cost
comparisons.
✔✔Degree of Freedom - ✔✔Independent movements available to a manipulator.
✔✔Position Control - ✔✔Maintaining a robot's position within a workspace.
✔✔Robot Programming Language - ✔✔Syntax and semantics for instructing robots.
✔✔Labor Cost Trends - ✔✔Rising costs impacting robotics adoption.
✔✔Computer Performance-Price Ratio - ✔✔Measure of computing efficiency over time.
✔✔MATLAB Robotics Toolbox - ✔✔Third-party toolbox for robotics mathematics.
✔✔Position Vector - ✔✔3 x 1 vector representing a point's location.
✔✔Orientation - ✔✔Description of a body's alignment in space.
✔✔Frame - ✔✔Entity containing position and orientation descriptions.
✔✔Transformation - ✔✔Operation changing position or orientation representation.
✔✔Unit Vectors - ✔✔Vectors indicating principal directions of a frame.
✔✔Transformation Arithmetic - ✔✔Mathematical operations involving transformations.
✔✔Dot Product - ✔✔Scalar product of two vectors.
✔✔Cross Product - ✔✔Vector product resulting in orthogonal vector.
✔✔Determinant - ✔✔Scalar value indicating matrix invertibility.
✔✔Inverse Matrix - ✔✔Matrix that, when multiplied, yields identity.
✔✔Linear Equations - ✔✔Equations representing straight-line relationships.
✔✔Logical Constructs - ✔✔Programming structures for decision-making.
