A body executes sample harmonic motion under the action of a force $$F1$$ with a time period (4/5) $$sec$$. If the force is changes to $$F2$$ it executes SHM with time period (3/5) $$sec$$. if both the forces $$F1$$ and $$F2$$ act simultaneously in the same direction on the body, its time period (in$$ $$seconds) is:

Question

A body executes sample harmonic motion under the action of a force $$F1$$  with a time period (4/5) $$sec$$. If the force is changes to $$F2$$  it executes SHM with time period (3/5) $$sec$$. if both the forces   $$F1$$ and $$F2$$  act simultaneously in the same direction on the body, its time period (in$$ $$seconds) is:

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or    $$k=k1+k2or$$   mω$$2=m$$ω$$12+m$$ω$$22or$$   ω$$2=$$ω$$12+$$ω$$22$$∴$$T=T1T2T12+T22=45$$×$$35452+352=1225sec$$

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A body executes sample harmonic motion under the action of a force F1 with a time period (4/5) sec. If the force is changes to F2 it executes SHM with time period (3/5) sec. if both the forces F1 and F2 act simultaneously in the same direction on the body, its time period (in seconds) is:

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