A rod of mass `m` and length `l` hinged at one end is connected by two springs of spring constant `k_1` and `k_2` so that it is horizontal at equilibrium What is the angular frequency of the system? (in `(rad)/(s)`) (Take mass =3kg `l=1m`,`b=(1)/(4)m`,`K_1=16(N)/(m)`,`K_2=63(N)/(m)`.

Answer

8

Explanation

Applying torque equation, about `O, tau = I alpha` ltbrlt
`rArr (k,b theta xx bcos theta) + ((k_(2)ltheta)/(theta)xx l cos theta) =- I (d^(2)theta)/(dt^(2))`
Here: `I = (ml^(2))/(3), theta rarr small, omega = ?`