Question 6(Unit 10) – 5 marks
Consider a particle that moves according to the equation of motion10 ̈x+ 20 ̇x+ 160x= 20 cos(⌦t),where ⌦is a constant.(a)Suppose that ⌦= 3.
Calculate the amplitude of the resulting oscillations of the particle after a long time has elapsed.
[2](b)Calculate the damping ratio for this mechanical system to two decimalplaces, and hence state whether the particle can undergo resonance
Calculate the amplitude of the resulting oscillations of the particle after a long time has elapsed.
