From (2.5) and (2.6) get the period of oscillation of the spring pendulum

. (2.10)

When load hangs on a spring, which does not carry out oscillations, it deforms a spring on the size of х_о. By Hook`s law of F = mg = kx_o, it is possible to find rigidity of spring

. (2.11)

Then a formula (2.8) for the period of oscillations assumes an air

(2.12), or . (2.13)

Thus, experimentally measuring the period of oscillations of T and lengthening of spring of х_о, from its undeformed state to position of equilibrium at the different loadings, it is possible on the angle of slope of graph of T² = f(x_o) (see a formula 2.11) to find the acceleration of the free falling. The first task is so executed.

The second task of work is executed on the basis of formula (2.8), that the linearness of dependence is checked up .