- Question 5 A Machine Subject To A Harmonic Force Of 500n With 0 5hz Frequency Is Modelled As A Mass Of 800kg Supported 1 (72.23 KiB) Viewed 16 times
Question 5 A machine, subject to a harmonic force of 500N with 0.5Hz frequency, is modelled as a mass of 800kg supported by a rigid spring of stiffness 20kN/m and dashpot of damping coefficient 6400Ns/m. a. Derive the equation of motion of the vibrating system and calculate its natural fre- quency and damping ratio. [8 marks] b. Draw the vector diagram of all the forces acting in the system, showing the phase re- lationships between them. [4 marks] C. Using the vector diagram or otherwise, determine the amplitude of the steady state vibration and phase angle between the harmonic force and displacement of mass. [8 marks]