Find out the angular frequency of small oscillation about axis O

Find the angular frequency of small oscillation of block m in the arrangement shown. Rod is massless. [Assume gravity to be absont]

A V-shaped glass tube of uniform cross section is kept in a vertical plane as shown. A liquid is poured in the tube. In equilibrum the level of liquid in both limds of tube. Find the angular frequency of small oscillation of liquid.

A V-shaped glass tube of uniform cross section is kept in a vertical plane as shown. A liquid is poured in the tube. In equilibrum the level of liquid in both limds of tube. Find the angular frequency of small oscillation of liquid.

A particle of mass m moves in a one dimensional potential energy U(x)=-ax^2+bx^4 , where a and b are positive constant. The angular frequency of small oscillation about the minima of the potential energy is equal to

A particle of mass m moves in a one dimensional potential energy U(x)=-ax^2+bx^4 , where a and b are positive constant. The angular frequency of small oscillation about the minima of the potential energy is equal to

A particle of mass m moves in a one dimensional potential energy U(x)=-ax^2+bx^4 , where a and b are positive constant. The angular frequency of small oscillation about the minima of the potential energy is equal to

A thin uniform vertical rod of mass m and length l pivoted at point O is shown in Fig. The combined stiffness of the springs is equal to k . The mass of the springs is negligible. The angular frequency of small oscillation is

A uniform cylinder of mass m and radius R is in equilibrium on an inclined by the action of a light spring of stiffnesk, gravity and reaction force acting on it .If the angle of inclination of the plane is phi , find the angular frequency of small oscillation of the cylinder