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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.
Degree of Freedom is defined as the minimum number of independent variables required to define the position of a rigid body in space. In other words, DOF defines the number of directions a body can move.
What is Degrees of freedom (DOF): It is the number of independent coordinates required to describe the position of a body in space. A free body in space can have six degrees of freedom. i.e., linear positions along x, y and z axes and rotational/angular positions with respect to x, y and z axes.
In mechanics, degrees of freedom (DOF) is the number of independent variables that define the possible positions or motions of a mechanical system in space. DOF measurements assume that the mechanism is both rigid and unconstrained, whether it operates in two-dimensional or three-dimensional space.
Degree-of-freedom of a general mechanical system is defined as the minimum number of independent variables required to describe its configuration completely. The set of variables (dependent or independent) used to describe a system are termed as the configuration variables.
In general, a rigid body in a plane has three degrees of freedom. Kinematic pairs are constraints on rigid bodies that reduce the degrees of freedom of a mechanism. Figure 4-11 shows the three kinds of pairs in planar mechanisms. These pairs reduce the number of the degrees of freedom.
Degrees of freedom refers to the number of independent parameters or values required to specify the state of an object. The state of a particle is completely specified by its location in space, while the state of a rigid body includes its location in space and also its orientation.
The degrees-of-freedom of a mechanical system (denoted by N) may or may not equal the dimension of C (denoted by dim(C)). Consider, e.g., a particle free to move in the XY plane. Clearly, the particle has two degrees-of-freedom, namely, the two independent translations in the plane.
Degrees of freedom refers to the number of independent parameters or values required to specify the state of an object. The state of a particle is completely specified by its location in space, while the state of a rigid body includes its location in space and also its orientation.
Description: Prof. Vandiver begins the lecture by discussing some concepts students had trouble with, then goes over free body diagrams and degrees of freedom with example problems (hockey puck, elevator, stick against wall), and finally discusses fictitious forces.
