Mechanical Vibration practice questions with solution

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Practice Question 1

For a displacement of x of mass m,pulleys 1,2,3 undergoes displacement of 2x , 4x, and 8x respectfully. write the differential equation to represent the system. also find the natural frequency and time period of the system.

solution

Practice Question 2

For the system shown below do the following

• Find the equivalent stiffness
• Write the mathematical model

Calculate the natural frequency of the system.

Practice Question 3

A vibrating system consisting of a weigh of 2.5 kg and a spring of stiffness 1570N/m is viscously damped such that the ratio of any two consecutive amplitudes is 25.4 mm to 24.892 mm Determine

• The natural frequency of the damped system
• The logarithmic decrement