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Vibration Sheet 3 Solution - Ahmed Nagib

Ahmed Nagib Elmekawy 1 of 13 EME 304- Sheet 3 Solution EME 304 Mechanical Vibrations Sheet 3 - Solution Forced Single Degree of Freedom 1. A spring-mass system is subjected to a harmonic force whose frequency is close to the natural frequency of the system. If the forcing frequency is Hz and the natural frequency is Hz, determine the period of beating. 2. A mass m is suspended from a spring of stiffness 4000 N/m and is subjected to a harmonic force having an amplitude of 100 N and a frequency of 5 Hz. The amplitude of the forced motion of the mass is observed to be 20 mm. Find the value of m. Ahmed Nagib Elmekawy 2 of 13 EME 304- Sheet 3 Solution 3.

Dr./ Ahmed Nagib Elmekawy 12 of 13 EME 304- Sheet 3 Solution 13. When an exhaust fan of mass 380 kg is supported on springs with negligible damping, the resulting static deflection is found to be 45 mm. If the fan has a rotating unbalance of 0.15 kg-m, find (a) the amplitude of vibration at 1750

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