Question

A block of mass `m_(1)=1kg` is attached to a spring of force constant `k=24N//cm` at one end and attached to a string tensioned by mass `m_(2)=5kg` . Dedcue the frequency of oscillaitons of the system. If `m_(2)` is initially supported in hand and then suddenly released, find

`(a)` instantaneous tension just after `m_(2)` is released . ltbr. `(b)` the maximum displacement of `m_(1)`.
`(c)` the maximum and minimum tensions in the string during oscillations.

Answer 1

Correct Answer - `v=(1)/(2pi)sqrt((K)/(m_(1)+m_(2)))=(10)/(2x)Hz,m_(2)delta,(2m_(2)g)/(k),T_("max")=(55g)/(6),T_("min")=(5g)/(6)`