The degrees of freedom of a stationary rigid | vedclass

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Question

(A) rigid body in space has $6$ degrees of freedom ($3$ translational and $3$ rotational). When a rigid body is constrained to rotate about a fixed ax

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) rigid body in space has $6$ degrees of freedom ($3$ translational and $3$ rotational). When a rigid body is constrained to rotate about a fixed axis,its translational motion is restricted,and its rotational motion is restricted to only one axis. However,in the context of statistical mechanics and kinetic theory,a rigid body rotating about a fixed axis is often considered to have $1$ degree of freedom associated with its rotational kinetic energy $(K = \frac{1}{2} I \omega^2)$. Given the standard options provided for this specific physics problem,the intended answer is $1$.

The degrees of freedom of a stationary rigid body rotating about its axis will be

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