The free end of the spring for given spring mass damper system is given displacement y = A cosωt.
Which of the following is the correct expression for force transmitted to the support through damper?
1
\(\frac{{2ckA\omega }}{{\sqrt {{{\left( {k\;-\;2m{\omega ^2}} \right)}^2} + 16{{\left( {c{\omega }} \right)^2}^{}}} }}\)
2
\(\frac{{ckA\omega }}{{\sqrt {{{\left( {k\;-\;2m{\omega ^2}} \right)}^2} + 2{{\left( {c{\omega ^2}} \right)}^{}}} }}\)
3
\(\frac{{2ckA\omega }}{{\sqrt {{{\left( {k\;-\;2m{\omega ^2}} \right)}^2} + 8{{\left( {c{\omega ^2}} \right)}^{}}} }}\)
4
\(\frac{{ckA\omega }}{{\sqrt {{{\left( {k\;-\;2m{\omega ^2}} \right)}^2} + 4{{\left( {c{\omega ^2}} \right)}^{}}} }}\)