The point at which an applied force produces linear motion but no rotatory Motion is:

Explanation

The point at which an applied force produces linear motion but no rotational motion is the "center of gravity." The center of gravity is the point within an object or system where the weight is evenly distributed in all directions. When an applied force is directed through the center of gravity, it results in pure linear motion without causing the object to rotate.When an external force is applied to an object, it causes translational (linear) motion when applied through the center of gravity. However, if the force is applied away from the center of gravity, it can create both linear motion and rotational motion, causing the object to pivot or rotate.The center of gravity is a critical concept in physics, particularly in mechanics and the study of equilibrium. It plays a role in determining stability, balance, and the response of an object to applied forces.