Forward and Inverse Kinematics MCQs January 8, 2026August 9, 2024 by u930973931_answers 34 min Score: 0 Attempted: 0/34 Subscribe 1. What does forward kinematics calculate? (A) Joint angles from end-effector position (B) Joint velocities from end-effector velocity (C) End-effector position from joint angles (D) End-effector velocity from joint velocities 2. What does inverse kinematics determine? (A) End-effector position from joint angles (B) Joint velocities from end-effector velocity (C) End-effector velocity from joint velocities (D) Joint angles from end-effector position 3. In a 2D robotic arm with two links, how many joint angles are needed for the forward kinematics solution? (A) 2 (B) 1 (C) 3 (D) 4 4. The Denavit–Hartenberg (DH) parameters are used to: (A) Define the kinematic model of a robot (B) Calculate joint angles (C) Control the motion of a robot (D) Measure the end-effector’s position 5. In a 6-DOF robotic arm, the forward kinematics will produce: (A) A 2D vector (B) A 3D vector (C) A 6×6 matrix (D) A 4×4 transformation matrix 6. The Jacobian matrix relates: (A) Joint velocities to end-effector velocities (B) End-effector position to joint velocities (C) Joint angles to end-effector position (D) End-effector forces to joint velocities 7. The pseudo-inverse of the Jacobian matrix is used to: (A) Solve forward kinematics (B) Compute joint velocities (C) Calculate end-effector position (D) Find DH parameters 8. For a planar robot arm with two links, the number of possible inverse kinematics solutions can be: (A) 1 (B) Infinite (C) 3 (D) 2 9. What is the primary purpose of using the DH convention in robotic kinematics? (A) To standardize joint configurations (B) To measure end-effector velocity (C) To simplify the representation of robot arm configuration (D) To control robotic movements 10. The transformation matrix from the base frame to the end-effector frame includes: (A) Only rotation (B) Only translation (C) Neither rotation nor translation (D) Both rotation and translation 11. In a robotic arm with prismatic joints, the forward kinematics: (A) Depends only on joint angles (B) Depends only on joint displacements (C) Depends on both joint angles and displacements (D) Cannot be calculated 12. The solution of inverse kinematics often involves: (A) Solving nonlinear equations (B) Solving linear equations (C) Integrating differential equations (D) Matrix multiplication only 13. The primary challenge in inverse kinematics is: (A) Finding the end-effector position (B) Performing forward kinematics (C) Calculating joint velocities (D) Ensuring solution uniqueness 14. What is the general form of the forward kinematics transformation matrix? (A) T = R · d (B) T = R · exp(d) (C) T = [ R | d ] (D) T = [ R | 0 ] 15. The inverse kinematics solution for a 3-DOF planar robot arm can be obtained using: (A) Algebraic methods (B) Numerical methods (C) Geometric methods (D) All of the above 16. In a 3D robotic arm, how many joint variables are needed to describe end-effector position? (A) 2 (B) 6 (C) 4 (D) 3 17. The position of the end-effector in forward kinematics is represented as: (A) A quaternion (B) A scalar (C) A matrix (D) A vector 18. When using the Denavit–Hartenberg convention, each link is described by how many parameters? (A) 2 (B) 4 (C) 3 (D) 6 19. What does the term “kinematic chain” refer to in robotics? (A) Sequence of control commands (B) Series of links and joints in a robot (C) Software architecture (D) Mathematical motion model 20. In a robotic arm with spherical joints, forward kinematics calculates: (A) Rotation matrix only (B) Translation matrix only (C) Angular velocity (D) Both rotation and translation 21. The Jacobian matrix for a robotic arm is derived from: (A) Integration of inverse kinematics (B) Differential of inverse kinematics (C) Integration of forward kinematics (D) Differential of forward kinematics 22. Which method is typically used when analytical inverse kinematics is difficult? (A) Closed-form solution (B) Hardware methods (C) Graphical methods (D) Numerical methods 23. In robotic kinematics, “redundant” refers to: (A) Fixed robot (B) Fewer DOF than required (C) Single DOF robot (D) More DOF than required for a task 24. Forward kinematics of a robot arm is typically represented by: (A) Matrix equations (B) Differential equations (C) Linear equations (D) Logical functions 25. Inverse kinematics for a robot arm with a spherical wrist typically involves: (A) Solving linear equations (B) Numerical optimization only (C) Geometric methods (D) Jacobian inversion 26. The “end-effector” refers to: (A) Tool interacting with environment (B) Fixed support (C) Robot base (D) Control unit 27. The DH parameter “d” represents: (A) Link length (B) Link twist (C) Joint offset (D) Joint angle 28. Which is NOT a DH parameter? (A) Link length (B) Joint angle (C) Joint velocity (D) Link twist 29. In inverse kinematics, “inverse” means: (A) Finding joint angles from end-effector position (B) Finding end-effector position from joint angles (C) Computing Jacobian (D) Computing forces 30. Forward kinematics is generally easier to compute than: (A) Control algorithms (B) Jacobian matrix (C) Dynamics equations (D) Inverse kinematics 31. In a 6-DOF robotic arm, end-effector pose is described by: (A) 4 position + 2 orientation parameters (B) 6 position parameters (C) 3 position + 3 orientation parameters (D) 3 orientation parameters 32. The Jacobian transpose method is used in: (A) Inverse kinematics (B) Forward kinematics (C) Dynamics modeling (D) Path planning 33. Which coordinate system is commonly used for robot pose description? (A) Cylindrical (B) Polar (C) Cartesian (D) Spherical 34. A prismatic joint allows: (A) Rotational motion (B) Both rotational and translational motion (C) Translational motion (D) No motion