QUESTION 1 The frequency of vibrations of a machine is 150HZ. Determine; a) Its frequency in rad/s b) Period of oscillations c) If the amplitude of vibrations is 0.8mm, determine the acceleration

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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QUESTION 1
The frequency of vibrations of a machine is 150Hz. Determine;
a) Its frequency in rad/s
b) Period of oscillations
c) If the amplitude of vibrations is 0.8mm, determine the acceleration
Question 2
A body suspended from a spring vibrates vertically up and down between two positions 3 and 5cm
above the ground. During each second, it reaches the top position15times. Find the time period,
frequency, circular frequency and amplitude
motion.
Question 3
Determine the equivalent stiffness in the following:
a)
3k
2k
b)
G
QUESTION 4
A 200kg machine is attached to the end of a cantilever beam of length L=2.5m, elastic modulus
E=200x10° N/m?, and the cross sectional moment of inertia l= 1.8 x 10-5 m. Assuming the mass of the
beam is small compared to the mass of the machine, what is the stiffness of the beam?
QUESTION 5
a) Sketch a graph for the function, x(t)=x.cos(wt) indicating the appropriate labels on the axes.
b) Define the parameters of the function in (a) above.
Transcribed Image Text:QUESTION 1 The frequency of vibrations of a machine is 150Hz. Determine; a) Its frequency in rad/s b) Period of oscillations c) If the amplitude of vibrations is 0.8mm, determine the acceleration Question 2 A body suspended from a spring vibrates vertically up and down between two positions 3 and 5cm above the ground. During each second, it reaches the top position15times. Find the time period, frequency, circular frequency and amplitude motion. Question 3 Determine the equivalent stiffness in the following: a) 3k 2k b) G QUESTION 4 A 200kg machine is attached to the end of a cantilever beam of length L=2.5m, elastic modulus E=200x10° N/m?, and the cross sectional moment of inertia l= 1.8 x 10-5 m. Assuming the mass of the beam is small compared to the mass of the machine, what is the stiffness of the beam? QUESTION 5 a) Sketch a graph for the function, x(t)=x.cos(wt) indicating the appropriate labels on the axes. b) Define the parameters of the function in (a) above.
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