For a body of mass m attached to the spring the spring factor is given by

To one end of a massless spring, a body of mass m is attached. Now the spring is divided into two equal parts and to one of the parts the same body of mass m is attached. Determine the ratio of the frequencies of vibration in the two cases.

On a smooth inclined plane a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has a force constant k, the period of oscilation of the body is (assuming the spring as massless)

On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has force constant K , the period of oscillation of the body (assuming the springs as massless) is

On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has force constant K , the period of oscillation of the body (assuming the springs as massless) is