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 each of force constant k are connected in series Calculate the frequency of the system

Two identical springs each of force constant k are connected in parallel and they support a mass mu . Calculate the ratio of the frequency of oscillation of the mass in two systems.

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 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, one of spring factor k_1 and other of spring factor k_2 are first connected in parallel and then in , series with same rigid support. Deduce the spring constant, when a body of weight mg is connected to each of combination.