A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a vertical harmonic motion given by y(t) = 0.02 sin 3t. Assume that the instrument only moves in vertical translation and is supported by four springs with stiffness, k = 250 × T N/m as simplified in Figure Q3. Note: The values of T and U depend on the respective 5th and 6th digits of your matric number as shown in Table Q3. For example, if your matric number is AD170154 gives the value of T= 3 and U = 50. (a) Determine the maximum displacement, velocity and acceleration experienced by the instrument. (b) Evaluate the percentage of vibration transmitted from the truck bed to the instrument and justify the outcome. (c) Analyze the best possible solution to allow only U% of vibration transmitted to the instrument. Please support your answer with calculation and draw a mass spring system for this solution.

A box that contains of a 250 kg fragile instrument is transported by a truck that is subjected to a vertical harmonic motion given by y(t) = 0.02 sin 3t. Assume that the instrument only moves in vertical translation and is supported by four springs with stiffness, k = 250 × T N/m as simplified in Figure Q3. Note: The values of T and U depend on the respective 5th and 6th digits of your matric number as shown in Table Q3. For example, if your matric number is AD170154 gives the value of T= 3 and U = 50. (a) Determine the maximum displacement, velocity and acceleration experienced by the instrument. (b) Evaluate the percentage of vibration transmitted from the truck bed to the instrument and justify the outcome. (c) Analyze the best possible solution to allow only U% of vibration transmitted to the instrument. Please support your answer with calculation and draw a mass spring system for this solution.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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