1.

Give the expression for frequency of oscillation of a mass body as shown in the fig.

Answer»

Solution :EFFECTIVE spring constant `=(1)/(K)=(1)/(k_(1)+k_(2))+(1)/(k_(3))`
`"i.e."(1)/(k)=((k_(1)+k_(2)+k_(3)))/((k_(1)+k_(2))k_(3))`
Period of OSCILLATION `T=2pi sqrt(m((k_(1)+k_(2)+k_(3)))/((k_(1)+k_(2))k_(3)))`
SINCE frequency of oscillation `n=(1)/(T)=(1)/(2pi)sqrt(((k_(1)+k_(2))k_(3))/(m(k_(1)+k_(2)+k_(3))).`


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