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Madou
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Can anyone explain to me why does a figure which can't move from a plain has three degrees of freedom?
Madou said:And why do the scissors on a plane have four degrees of freedom?
Degrees of freedom in rotational motion refer to the number of independent variables or parameters that are required to completely describe the motion of a rigid body. In other words, it is the number of ways a rigid body can move in a given space.
The degrees of freedom in rotational motion can be calculated using the formula 3N - k, where N is the number of particles in the body and k is the number of constraints or restrictions on the motion.
Translational degrees of freedom refer to the movement of a body in a straight line, while rotational degrees of freedom refer to the rotation of a body around an axis or point. Both types of degrees of freedom are necessary to fully describe the motion of a rigid body.
Yes, it is possible for a body to have more degrees of freedom in rotational motion than translational motion. This is because rotational motion can occur in three dimensions, while translational motion only occurs in one dimension.
The degrees of freedom in a system can affect its stability. A higher number of degrees of freedom can lead to a less stable system, as there are more ways for the system to move and potentially become unstable. On the other hand, a lower number of degrees of freedom can result in a more stable system, as there are fewer ways for it to move and become unstable.