A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of $$3$$ s. When the mass rn is increased by I kg, the time period of oscillations becomes $$5$$ s. The value of m in kg is

Question

Infinity Learn · Accepted Answer

T $$=$$ $$2$$$$π$$$$mk3$$ $$=$$ $$2$$$$π$$$$mk-------------(1)5$$ $$=$$ $$2$$$$π$$$$m+1k-----------(2)(1)2(2)2$$⇒$$925$$ $$=$$ $$mm+1$$⇒m $$=$$ $$916$$

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