An air chamber of volume V has a neck area of cross section A into which a ball of mass m just fits and can move up and down without any friction, figure. Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time period of oscillations assuming pressure volume variations of air to be isothermal.

An air chamber of volume V has a neck area of cross section A into which a ball of mass m just fits and can move up and down without any friction, figure. Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time periodof oscillations assuming pressure volume variatinos of air to be isothermal.

An air chamber of volume V has a long of cross setional area A.A ball of mass m is fixted smpthlly in the track The ball modulus of air is B ball is pressed down slightly and released, the time period of the oscillation is

A solid sphere of density sigma with one -third of tis volume submerged . When the sphere is pressed down slightly and released , it executes S.H.M of time period T. Then (viscous effect is ignored)

A tray of mass 12 kg is supported by two identical springs as shown in figure. When the tray is pressed down slightly and released, it executes SHM with a time period of 1.5s. What is the force constant of each spring?When a block of mass m is placed on the tray , the period of SHM changes to 3.0s. What is the mass of the block ?

An arrangement of three identical spring and a block of mass 10 kg is shown in the adjoining figure. When the platform on which block is placed is slightly pressed down and released. It performs S.H.M. with a period of 2 s. (i) Calculate the spring constant of the spring. (ii) If a block of mass m is further placed on the platform, the new period of S.H.M. becomes 3.5 s. Find the value of m. (Assume platform to be massless)