1.

A body of mass m attached to a spring which is oscillating with time period 4 s. If the mass of the body is increased by 4 kg, its time period increases by 2 s. Determine value of initial mass m.

Answer» In 1st case , T`=2pisqrt((m)/(k))implies4=2pisqrt((m)/(k))" "…(i)`
2nd case, 6 `=2pisqrt((m+4)/(k))" "(ii)`
Divided Eq. (i) by Eq.(ii)
`(4)/(6)=sqrt((m)/(m+4))implies (1 6)/(36)=(m)/(m+4)impliesm=3.2 kg`


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