Two identical springs, each of spring factor k, may be connected in the following ways. Deduce the spring factor of the oscillation of the body in each case.

Two identical springs (springs constant K) are connected together in three different ways. In which case will the spring factor of the oscillation of the body be least ?

Two identical springs of spring constant k each are connected in series and parallel as shown in figure. A mass M is suspended from them. The ratio of their frequencies of vertical oscillation will be

Two identical springs, each of force constant k are connected I (a) series (b) parallel and they support a mass M. Calculate the ratio of the frequency of oscillation of the mass in two systems.

Two springs of spring constants K_(1) and K_(2) are joined in series. The effective spring constant of the combination is given by

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