To find out degree of freedom, the expansion is

The bob of simple pendulum having length $$l$$, is displaced from mean position to an angular position q with respect to vertical. If it is released, then velocity of bob at equilibrium position

Two masses $$M$$_A and $$M$$_B are hung from two strings of length $$l$$_A and $$l$$_B respectively. They are executing SHM with frequency relation $$f$$_A = 2$$f$$_B, then relation

The equations of two waves acting in perpendicular directions are given as
x = $$a$$cos($$\omega $$t +$$\delta $$) and y = $$a$$cos($$\omega $$t + $$\alpha $$), where $$\delta $$ = $$\alpha $$ + $${\pi \over 2}$$, the resultant wave represents