Q4. An air-conditioning chiller unit weighing 5.0kg is to besupported by four air springs. Design the air springs such that thenatural frequency of vibration of the unit liesbetween 5 rad/s and10 rad/s.Q5. A heavy machine weighing 9.81kN is being lowered verticallydown by a winch at a uniform velocity of 2 m/s. The steel cablesupporting the machine has a diameter of 0.01 m. The winch issuddenly stopped when the steel cable's length is 20 m. Find theperiod and amplitude of the ensuing vibration of the machine whenYoung's Modulus of steel cable is 2.07*10¹1 N/m².

Answered: Image /qna-images/answer/03e1176f-0201-45de-8f1b-d5d111f3a779.jpg

Q4. An air-conditioning chiller unit weighing 5.0kg is to be supported by four air springs. Design the air springs such that the natural frequency of vibration of the unit liesbetween 5 rad/s and 10 rad/s.

Q4. An air-conditioning chiller unit weighing 5.0kg is to be supported by four air springs. Design the air springs such that the natural frequency of vibration of the unit liesbetween 5 rad/s and 10 rad/s.

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

See similar textbooks

Related questions

Q: Critical damping of the system ?

A: Given: Mass,m=13.8 kgSpring stiffness,k =1365 N/mDamping coefficient=17 Ns/mCritical damping of the…

Q: For a viscously damped system of a vibrating machine, find the values of wa and 3 when the mass of…

Q: A single degree of freedom mass-spring system has the following parameters, m=0.5 kg, k=2x 10³ N/m,…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Consider a spring–mass–damper system with m = 80 kg, c = 15 kg/s, and k = 1500 N/m with an impulse…

A: Given Spring constant, k = 1500 N/m Mass, m = 80 kg Damping coefficient,…

Q: . Explain the oscillatory motion of damped springs and shockbreakee in car along with the physical…

A: The oscillatory motion of damped springs and shock absorbers in a car refers to the movement of the…

Q: chir

Q: mass of 10 kN s²/m is suspended from a spring whose spring constant 40 kN/m. The mass is subjected…

A: Given system,

Q: A 160 pound object is suspended from a spring with spring coeficient 3 Ibt. The whole system is…

A: Given: F(t) = -32sin(2t)+21cos(2t) m= 160 lb k = 3 lb/ft c= 1 lb sec/ft

Q: 5. A weight of mass M = 8 kg is suspended by a spring with k = 10 N / m and c = 1.6 N s/m. The…

A: Given M=8kgK=10 N/mC=1.6 Ns/mThe governing equation of system isMx+Cx+kx=0˙¨

Q: A shaft 60 mm diameter and 4 m long is simply supported at both ends and carries three vertically…

Q: A damped single-degree-of-freedom vibration system has m= 7 kg, c= 549 Ns/m, and k= 10 kN/m.…

A: In vibrating system, damping ratio represents the degree of dampness provided in the vibrating…

Q: A damped single-degree-of-freedom system has m = 5 kg, c = 500 N-s/m, and k = 5000 N/m. Determine…

Q: A 15-kg instrument is to be used on a factory floor that vibrates with a frequency of 3500 rpm and…

A: Given : m = 15 kg N = 3500 rpm F = 3 mm ζ=0.02 To find : the required stiffness of an isolator, the…

Q: Prob. # 3] A 0.453 kg mass is attached to a spring having static deflection of 7.87 mm. Calculate,…

A: Deflection (∆) =7mm To fund natural frequency of system

Q: A four cylinders automobile engine is to be supported on three shock mounts as shown. The engine…

A: Given : m = 225 kg ζ=0.01 To find : Amplitude

Q: A rotating mass machine has a mass of 200 kg and It rests on four shock absorbers, one of which has…

A: Approach: The resulting amplitude can be find out using the formula for the magnification factor…

Q: Consider the dynamic system shown below. Jo k₂ M Determine the characteristic equation(s) when a…

A: Determine the characteristics equation?

Q: Q3. Consider a spring-mass-damper system with m 80 kg, c 15 kg/s, and k = 1500 N/m with an impulse…

Q: 1.6. A system consists of four uniform identical rigid bars each of length a and mass m, linked…

Q: Problem 6: An object of mass 2 kg is attached to a spring of stiffness 200 N/m on a horizontal…

Q: Derive the expression of the mechanical energy for under damped system

A: Consider the following system. In an ideal situation, the angular frequency of oscillation of a…

Q: 3.33. The following data are given for a damped single degree of freedom mass-spring system: mass m…

Q: Question 3: A periodic driving force Fa=10cos(10°t) N is acting on the spring-mass system as shown…

A: For solution refer below images.

Q: . A system is needed to be designed as damped spring mass system. Calculate the amplitude of…

Q: above the other, and a mass of 10 kg is attached at the middle point of its length. Determine the…

A: Solution :- Given data :- F = 100 N δ = 10 mmm = 10 kg

Q: 22/ The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

Q: A mass of flexible machine part, m, of 30 kg was observed to vibrate badly at frequency of 10 Hz.…

Q: A single degree of freedom system with mass of 100 Kg, a damping ratio of 0.707 and a natural…

Q: Jo k₂ 12, M k₁ x termine the characteristic equation(s) when a torque equal to r(t) is applied to…

Q: M3 C3 k2 C2 Figure Q1

A: As per honor code and answering guidelines I can answer 1st 3 sub part at a time if you want other…

Q: As shown in figure a mass of 100 kg is held between two springs. The natural frequency of vibration…

Q: vehicle weighing 5,000 lb is supported on four identical springs and four identical viscous dampers.…

A: For solution refer below images.

Q: A 2-kg block attached to an Ideal massless spring and fixed on the other end on a horizontal…

Q: A spring-mass system kr, m has a natural frequency =f: (in Hz). If a second spring ka is added in…

Q: Find the equivalent spring stiffness of vibration of the system shown in figure. If S1 = 5000 N/m,…

Q: A 1-kg block attached to an Ideal massless spring and fixed on the other end on a horizontal…

A: Spring force : The Spring force is the force exerted by a compressed or stretched spring upon any…

Q: A single degree damped vibrating system is formed of a block of mass m 5 kg, a spring of K= 100 N/m…

A: Detailed explanation and solution of the above problem uploaded in below picture.

Q: A machine with mass M1 = 450 kg is mounted on 8 springs as shown. Each of these springs has…

A: Given: Mass of the machine→M=450 Kg Number of springs=8 Stiffness of each spring→k=70000 N/m Because…

Q: Q2. A railroad bumper (which it is used to stop the railroad car) is designed as a spring in…

Q: The measurements on a mechanical vibrating system show that it has a mass of 8 kg and that the…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Q4. An air-conditioning chiller unit weighing 5.0kg is to be
supported by four air springs. Design the air springs such that the
natural frequency of vibration of the unit liesbetween 5 rad/s and
10 rad/s.
Q5. A heavy machine weighing 9.81kN is being lowered vertically
down by a winch at a uniform velocity of 2 m/s. The steel cable
supporting the machine has a diameter of 0.01 m. The winch is
suddenly stopped when the steel cable's length is 20 m. Find the
period and amplitude of the ensuing vibration of the machine when
Young's Modulus of steel cable is 2.07*10¹1 N/m².

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data

VIEW

Step 2: Design the spring

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Solve this question step by step.
A block of mass 50 kg supported by a lining material made of rubber as shown in fig. When the block placed on the lining, the lining of static deflection is 10 mm. When the vibrator act with force F = 200sin50t N found the vibration amplitude is 2 mm. Determine i. the stiffness coefficient of the lining ii. The natural frequency i. the damping coefficient lining iv. the force exerted by the lining to the floor. vibrator 50 kg
A factory machine with a mass of 320 kg vibrations up and down with frequency of 8 Hz. Amplitude of engine movement of 2 mm. Calculate the maximum acceleration of the machine, and what is the maximum Newtonian force obtained?
Hand written solution and fast
P3. The peak amplitude of a mass-spring-damper system, under a harmonic excitation, is observed to be 1 cm. The undamped natural frequency of the system is 5 Hz, and the static deflection of the mass under the maximum force is 0.5 cm. Now, instead of a harmonic excitation, a sudden impulse of 10 N.s is applied. Determine the response of the system. 4 z 0.5 cm
cquar? 2.55. Determine the differential equation of motion and establish the critical damping for the system shown in Fig. P2.55. FIGURE P2.55. m₂ To
The natural frequency of an undamped vibrating system is 100 rad/s. A damper with a damping factor of 0.8 is introduced into the system. Find the frequency of vibration of the damped system?
Mechanical Vibration Problem
Consider the two degrees of freedom mass spring system below. Assume M = 10 kg, m = 3 kg, K1 = 100 N/m, K2 = 150 N/m, K3 = 867 N/m and K4 = 380 N/m. %D The ratio of the second natural frequency to the first one, i.e. w2/w is X1 K2 www X2 K4 K1 M K3 m Frictionless surface 3.30 4.13 2.74 0.30 5.38 Activate Windows
In free vibration we experimentally determine the natural frequency of a mass-spring system to be f, = 120.2796 Hz. The results show that decreasing the stiffness of the system by Ak = 592880.1217 N/m, the natural frequency will be decreased by Af, = 31.6418HZ. What is the
I need answer correct and ASAP please