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A force of `6.4N` streches a vertical spring by `0.1m` The mass that must be supended from the spring so that it oscilation with a time period of `pi//4` secondA. `2kg`B. `1kg`C. `1.5kg`D. `2.5kg` |
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Answer» Correct Answer - B Here, `F=6.4N, l=0.1m, T=pi//4s` Spring factor,`k=(6.4)/(0.1)64Nm^(-1)` Inertial factor`=` mass suspended `=`m In S.H.M. the time period is given by `T=2pisqrt((i n ertia fact o r)/(spri ng fact o r ))` `(pi)/(4)=2pisqrt((m)/(64))` or `(1)/(8)=sqrt((m)/(64))` squaring both sides `(1)/(64)=(m)/(64)` or `m=1kg` |
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