Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see figure).When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this sytem is :

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shwon in figure . Show that when the mass is displaced from its equilibrium position on either side, it executes a simple harmonic motion. Find th eperiod of oscillation.

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force.

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation is

Tow identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrum position by a distance x towards right, find the restoring force.

A block of mass m hangs from a vertical spring of spring constant k. If it is displaced from its equilibrium position, find the time period of oscillations.

A spring of force constant k and negligible mass is attached to a rigid mass m at one end and clamped to a strong support at the other. The mass is displaced a little and then released. Show that the body executes simple harmonic motion and calculate its time period. If the spring is cut into three equal pieces and the same body is supported by one such piece in a smaller way, by how much will the time period be increased or decreased?

A tray of mass M=10kg is supported on two identical springs, each of spring constant k, as shown in figure, when the tray is depressed a little and released, it executes simple harmonic motion of period 1.5 s. when a blockof mass m is placed on the tray, the speed of oscillation becomes 3 s. the value of m is

Two spring have force constants k_(1) and k_(2) respectively. They are attached to a mass m and two fixed supports as shwon in figure. If the surface is frictionless, fing the time period of oscillations. What is the spring factore of this combination.

A mass of 1.5 kg is connected to two identical springs each of force constant 300 Nm^(-1) as shown in the figure. If the mass is displaced from its equilibrium position by 10cm, then the period of oscillation is