When a block A is suspended by a spring and allowed to oscillate vertically, its time period of oscillation is found to be $$3$$ $$sec$$. When another block B is suspended by the same spring, its time period of oscillation is found to be $$4$$ $$sec$$. Now the two blocks A and B are tied together, suspended by the same spring and allowed to oscillate vertically. Then time period of the composite block is

Question

Infinity Learn · Accepted Answer

For a $$spring-mass$$ system, $$T=2$$$$π$$mK⇒$$m=KT24$$$$π$$$$2$$∴ $$KT24$$$$π$$$$2=KT124$$$$π$$$$2+KT224$$$$π$$$$2$$⇒$$T=T12+T22=32+42sec=5$$ $$sec$$

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