in a spring-mass oscillator ,the mass is M and the period of the oscillations is 3s.if the mass is decreased by 2 kg ,the period is decreased by 1s, then the value ofM,(in kg)is?
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The time period (T) of the spring T=2πMk−−−√ T=2πMk−−−√
or2=2πM+−−−−−√k …(i) 2=2πM+−−−−−√k …(i)
3=2πM+2−−−−−−√k …(ii) From (i) and (iii) 3=2πM+2−−−−−−√k …(ii) From (i) and (iii)
23=MM+2⇒49=MM+2⇒M=1.6kg−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√.23=MM+2⇒49=MM+2⇒M=1.6kg−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−√.
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