A single-degree-of-freedom oscillator is subjected to harmonic excitation {F}( {t})= {F}_{0} \cos (\omega {t}) as shown in the figure. The non-zero value of \omega, for which the amplitude of the force transmitted to the ground will be {F}_{0}, is

GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

Question : 25 of 65

Marks: +1, -0

A single-degree-of-freedom oscillator is subjected to harmonic excitation

{F}( {t})= {F}_{0} \cos (ω {t})

as shown in the figure.

The non-zero value of

ω

, for which the amplitude of the force transmitted to the ground will be

{F}_{0}

, is

Solution:

E=\;{F_{t}}/{F_{0}}

F_{t}=F_{0} ⇒ E=1

ω=√{2} × ω_{ {n}}

=√{2} × √{\;{ {k}}/{ {m}}}

ω=√{\;{2 {k}}/{ {m}}}

Go to Question:

Prev Question

Next Question