What do you mean by the number of degrees of freedom of a dynamical system? How many degrees of freedom are associated with
(i) a bob of an oscillating simple pendulum
(ii) an insect moving on a horizontal floor
(iii) a buzzing bee
(iv) a particle moving in a plane
The number of degrees of freedom of a dynamical system is defined as the total number of independent quantities required to completely describe the position and configuration of the system.
(i) one (ii) two (iii) three (iv) two
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