B4 Please help on the attached question. Q4. An air compressor with mass 500 kg has an eccentricity me = 50 kg.cm and operates at a speed of300 rpm. To achieve 90% vibration isolation, the compressor is to be mounted on either an isolatorconsisting of a spring with negligible damping, or a shock absorber having a damping ratio of 0.1 and aspring.(a) Design the vibration isolator,(b) Design the shock absorber, and(c) Calculate the static deflection under the force due to the rotating unbalance mass in both designs.

Given Data: Mass of the air compressor,m=500kgEccentricity, m⋅e=50Operating speed, N=300rpmDesired…

Answered: Q4. An air compressor with mass 500 kg…

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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Q3.Consider a spring–mass–damper system with m = 80 kg, c = 15 kg/s, and k = 1500 N/m with an impulse force applied to it of 1200 N for 0.01 s. (A) Calculate the natural frequency of the system (B) Calculate the damping ratio of the system
Piston (M=5kg) is driven when the fly wheel (r=0.1m, J=0.5kgm^2) moves the arm (L=0.2m,m=1kg). The stiffness k=100N/m come Fron compression of gas. What is the natural frequency of the system
Fig. (2) Q3-A (8 Marks): An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction. It is driven along a road whose elevation varies sinusoidally. The distance from peak to trough is 0.2 m and the distance along the road between the peaks is 35 m. If the natural frequency of the automobile is 2 Hz and the damping ratio of the shock absorbers is 0.15, determine the amplitude of vibration of the automobile at a speed of 60 km/hour 6.18
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Answer completely.
2. Explain the oscillatory motion of damped springs and shockbreakee in car along with the physical quantities contained therein
Do fast
Mechanical Vibration Problem
Q3. Consider a spring-mass-damper system with m 80 kg, c= 15 kg/s, and k= 1500 N/m with an impulse force applied to it of 1200 N for 0.01 s. %3D F(t)4 Fo t1 t2 F(t) m (A) Calculate the natural frequency of the system (B) Calculate the damping ratio of the system Calculate the damped natural frequency of the system (D) Calculate the system response to the impulsive force at time t 1 s
A 15-kg instrument is to be used on a factory floor that vibrates with a frequency of 3500 rpmand an amplitude of 3 mm due to nearby equipment. The instrument can withstand an acceleration no grater than 4g. Assuming a damping ratio of 0.02 compute the required stiffness of an isolator, the maximum deflection of the isolator, and the maximum displacement of the instrument.
Q.3 An underdamped shock absorber is to be designed for a motorcycle of mass 200 kg. The shock absorber is subjected to an initial vertical velocity due to a 12 cm road bump. Find; (a) the necessary stiffness and damping constant for the shock absorber if the damped period of vibration is to be 2 s and the amplitude is to be reduced to one-ninth in one cycle, (b) the time required to reduce the tire motion within 5 mm. k/2 00000 221 00000 k/2
The motion of a spring-mass-damper system satisfies the initial value problem: (photo attached) Given m = 1 kg, b = 5 Ns/m, k = 4 N/m, and F = 5 N.(a). What is the natural frequency of the system?(b). Is this system under damping or critical damping or over damping? Explain it.(c). Solve the given initial value problem.(d). The location of poles of X(s) affects the behavior of the system. How to choose parameters b/mand k/m so that the poles are placed at - 4 +/- 4 j ?

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