Answered: Q2. A machine weighing 6,300 N is…

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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Question

Use Buckingham Pie Theory to establish the design conditions. A machine weighing 6,300 N is mounted on 10 springs each having a modulus of 105 KN/m. At intervals of 8s, it is subjected to a repeated vertical force having amplitude of 1,400 N and varying as one loop of a sine-curve with duration of 0.20 s. It is desired to study the vibration characteristic using a true model having a length scale of 12. Establish the design conditions, assuming that the vibration is restricted to only the vertical displacement.

Q2. A machine weighing 6,300 N is mounted on 10 springs each having a modulus of 105
KN/m. At intervals of 8 s, it is subjected to a repeated vertical force having amplitude of 1,400 N
and varying as one loop of a sine-curve with duration of 0.20 s. It is desired to study the
vibration characteristic using a true model having a length scale of 12. Establish the design
conditions, assuming that the vibration is restricted to only the vertical displacement.
Hint:
Pertinent quantities.
y
е
A₁
W
μ
k
P
t
Vertical displacement
A significant distance (deflection)
Any other pertinent distance
Weight
Number of springs
Spring modulus
Force
Time interval
Gravitational acceleration
Use BPT.
L
L
F
FL-¹
F
LT-2

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