A uniform cylinder of length (L) and mass (M) having cross sectional area (A) is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half - submerged in a liquid of density (rho) at equilibrium position. When the cylinder is given a small downward push and released it starts oscillating vertically with small amplitude. If the force constant of the spring is (k), the prequency of oscillation of the cylindcer is.

A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring such that it is half submerged in a liquid of density sigma at equilibrium position. The extension x_0 of the spring when it is in equlibrium is:

A uniform cylinder of height h, mass m and cross sectional area A is suspended vertically from a fixed point by a massless spring of force constant k, A beaker full of water is placed under the cylinder so that 1//4^(th) of its volume is submerged in the water at equilibrium position. When the cylinder is given a small downward push and released, it starts oscillating vertically with small amplitude. Calculate the frequency of oscillation of the cylinder, Take, density of water = rho .

A uniform cylinder of mass m, length l and cross sectional area A is suspended with its vertical from a fixed point, with the help of a massless spirng of force constant (K), The cylinder is then submerged in a liquid of density p. At equilibrium the cylinder remains submerged in the liquid with 1//4^(th) of its volume outside the liquid, as shown in the figure. The elongation of hte spring at this point is x_(0) . WHen the cylinder is given a slight downward push into the liquid and then released, its starts oscillating with vertical S.H.M. of small amplitude. The elongation X_(0) produced in the springs when the syste is in equilibrium is

A uniform steel bar of cross-sectional area A and length L is suspended, so that it hangs vertically. The stress at the middle point of the bar is ( rho is the density of stell)

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