Two particles A and B of equal masses are suspended from two mass less springs of spring constant $$k1$$ and $$k2$$ respectively. If the maximum velocities during oscillation, are equal, the ratio amplitudes of A and B is

Question

Two particles A and B of equal masses are suspended from two mass less springs of spring constant $$k1$$ and $$k2$$  respectively. If the maximum velocities during oscillation, are equal, the ratio amplitudes of A and B is

Infinity Learn · Accepted Answer

In S.H.M. $$Vmax=$$Ïa  For particle A, $$v1=$$Ï$$1a1$$ For particles B $$v2=$$Ï$$2a2$$ Given that $$v1=v2$$  or  Ï$$1a1=$$Ï$$2a2$$ $$a1a2=$$Ï$$2$$Ï$$1=T1T2$$ âµÏ$$=2$$ÏT The time period of a spring is given by $$T=2$$ÏMk  or  Tâ$$1k$$ $$a1a2=k2k1$$

Two particles A and B of equal masses are suspended from two mass less springs of spring constant k₁ and k₂respectively. If the maximum velocities during oscillation, are equal, the ratio amplitudes of A and B is

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Two particles A and B of equal masses are suspended from two mass less springs of spring constant k1 and k2 respectively. If the maximum velocities during oscillation, are equal, the ratio amplitudes of A and B is

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Two particles A and B of equal masses are suspended from two mass less springs of spring constant k₁ and k₂respectively. If the maximum velocities during oscillation, are equal, the ratio amplitudes of A and B is