Aerospace Engineering > GATE 2024 > Dynamics
The equations of motion for a two degrees of freedom undamped spring-mass system are:
mẍ1 + 2kx1 - kx2 = 0,
mẍ2 - kx1 + 2kx2 = 0,
where m and k represent mass and stiffness, respectively, in corresponding SI units, and x1 and x2 are the degrees of freedom. The larger of the two natural frequencies is given by: ω = α√(k/m) rad/s. The value of α is _______ (rounded off to 2 decimal places).
mẍ1 + 2kx1 - kx2 = 0,
mẍ2 - kx1 + 2kx2 = 0,
where m and k represent mass and stiffness, respectively, in corresponding SI units, and x1 and x2 are the degrees of freedom. The larger of the two natural frequencies is given by: ω = α√(k/m) rad/s. The value of α is _______ (rounded off to 2 decimal places).
Correct : 1
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