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In physics, the degrees of freedom (DOF) of a mechanical system is the number of independent parameters that define its configuration or state. It is important in the analysis of systems of bodies in mechanical engineering, structural engineering, aerospace engineering, robotics, and other fields.
Any unconstrained rigid body has six degrees of freedom in space and three degrees of freedom in a plane. Adding kinematic constraints between rigid bodies will correspondingly decrease the degrees of freedom of the rigid body system.
Two-dimensional rigid bodies in the \(xy\) plane have three degrees of freedom. Position can be characterized by the \(x\) and \(y\) coordinates of a point on the object and orientation by angle \(\theta_z\) about an axis perpendicular to the plane.
Two-dimensional rigid bodies in the \(xy\) plane have three degrees of freedom. Position can be characterized by the \(x\) and \(y\) coordinates of a point on the object, and orientation by angle \(\theta_z\) about an axis perpendicular to the plane.
Six degrees of freedom (6DOF), or sometimes six degrees of movement, refers to the six mechanical degrees of freedom of movement of a rigid body in three-dimensional space.
These three translational and three rotational movements define the six degrees of freedom (DoF) of a rigid body in 3D space. To locate a point mass in three-dimensional space requires only three coordinates: X, Y, and Z.
For every degree of freedom, you end up with a problem. You're going to need an equation of motion. So if I did not make this assumption, I'd say that the summation of the forces in the z direction is equal to 0. And that's equal to the mass times the acceleration of the body in the z acceleration.
