Mechanical Vibration Lecture 7 - Islamic University of Gaza
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Dr. Juma Yousuf Alaydi Dr. Juma Yousuf Alaydi Mechanical Engineering Mechanical Engineering Islamic University Islamic University Dr. Juma Yousuf Alaydi
Transcript of Mechanical Vibration Lecture 7 - Islamic University of Gaza
Dr. Juma Yousuf AlaydiDr. Juma Yousuf AlaydiMechanical EngineeringMechanical Engineering
Islamic UniversityIslamic University
Dr. Juma Yousuf Alaydi
E X A M P L E 2 . 2
A cantilever beam carries a mass M at the free end as shown in Fig. 2.11(a). A mass m falls from a height h onto the mass M and adheres to it without rebounding. Determine the resulting transverse vibration of the beam.
Dr. Juma Yousuf Alaydi
E X A M P L E 2 . 3
A simply supported beam of square cross section 5 mm * 5 mm and length 1 m, carrying a mass of 2.3 kg at the middle, is found to have a natural frequency of transverse vibration of 30 rad/s. Determine the Young s modulus of elasticity of the beam.
Dr. Juma Yousuf Alaydi
The cockpit of a firetruck is located at the end of atelescoping boom, as shown in Fig. 2.12(a). The cockpit,along with the fireman, weighs 2000 N. Find the cockpit snatural frequency of vibration in the vertical direction.
E X A M P L E 2 . 4
Dr. Juma Yousuf Alaydi
E X A M P L E 2 . 5Determine the natural frequency of the system shown in
Fig. 2.13(a). Assume the pulleys to be frictionless and of negligible mass.
Dr. Juma Yousuf Alaydi
