Please do not copy already posted answers. Attached is the solution process hint. 1,6 =-k(u, -u₂)(1.5€)-(1.5mg-sin)(1.50)I₂₂=-k(u₂ -u₂)(e)-(mg-sin6₂) (1)wheresin 8, ≈ 8₁, sin 8₂ 8₂u₁ =1.500₁, u₂ = 10₂I₁ = (1.5m)(1.50)², I₂ = me²4mee -ke-mg) + keo₂ = 0mlö-klo, + (kl-mg)0₂ = 02 4ame+kl-mge-kl4ke®®${@mt+]kt-zwg}e₁wome-ke+mg|=02(w ml-ke+mg)3kl For the system shown, assume m₁ = 1.5m₂ and ₁ = 1.5₂ where it is assumed that m₂ = mand ₂ = . Find the natural frequencies and the amplitude ratios or this system in termsk, l, and m.ILIE1913

Answered: Image /qna-images/answer/6a37b122-a7de-419f-a95a-2d1b7c7647ac.jpg

For the system shown, assume m₁ = 1.5m₂ and ₁ = 1.5₂ where it is assumed that m₂ = m and ₂ = . Find the natural frequencies and the amplitude ratios or this system in terms k, l, and m. ILIE 1913

For the system shown, assume m₁ = 1.5m₂ and ₁ = 1.5₂ where it is assumed that m₂ = m and ₂ = . Find the natural frequencies and the amplitude ratios or this system in terms k, l, and m. ILIE 1913

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: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

A: Given data: ◆ Specific weight of the material: ɣ = 2.0 lb/in3 ◆ Distance from bottom end of the bar:…

Q: A crane is to raise a load of 11,000 N at an acceleration of 1.3 m/s2 through a 6 x 19 wire rope…

Q: Determine the forces in members CD, CJ, and DJ. M Part 1 8' B 6 panels at 2¹ Answer: ly = i B K B с…

Q: What are the two basic types of indicator movements?

A: Dial indication gauge is the name of the precision measurement device that uses a needle and a…

Q: Determine the power required (Watts) to drive a reciprocating pump running at 1 rps and discharges…

A: Givenρ=850 kg/m3Q=366.1 gpmd=250mmL=500mmH=39m

Q: Determine the forces in members CD, CJ, and DJ. M 11' A L 8' B L 6 panels at 6¹ K C L D L I E L H F…

Q: solve for the COP

Q: Study the figure below. Use the shear and moment diagram. Calculate the maximum shear. 265 kN 245…

Q: A four-cylinder, two-stroke 2.4-L diesel engine that operates on an ideal Diesel cycle has a…

Q: power plant operating in a Reheat Rankine Cycle produces steam at 3 MPa, 600oC in the boiler. It…

Q: An aluminum [E = 10,000 ksi] control rod with a circular cross section must not stretch more than…

Q: For the system, determine the flow rate of oil coming out of the tank velocities and pressures at A…

A: GivenX=5.6mY=1.2m

Q: The dry-bulb temperature and wet-bulb temperature of a sample of air are 23°C and 18°C,…

Q: The tank has a square base and is filled with water to the depth of y = 0.4 m. If the 20-mm-diameter…

Q: can you convert A in PSI

A: In this problem, it is asking about to convert the answer of part (a) in PSI.

Q: The acceleration of a particle moving along a straight line is given by a = 6t where a is in m/s^2…

A: Given A=6t m/s2 To find Distance traveled after 5 sec Since the particles is travelling along a…

Q: 2. A round steel shaft rotates at 200 rpm and is subjected to a torque of 225 N.m and a bending…

Q: 2.2 kg/s of a mixture of oxygen and carbon dioxide containing 70% of oxygen by mole, undergoes a…

A: Given data: Mass flow rate = 2.2 kg/s Mixture of oxygen and carbon dioxide with 70% oxygen by mole.…

Q: Problem #1 A student pushes the 1.25 kg block in the figure below against a horizontal spring,…

Q: A fluid is pumped at a rate of 0.00156 m³/s through a 0.025-m-diameter pipe to fill a water tank as…

Q: find omega ab and omega prime ab. Cylinder D rolls without slipping with an angular motion given as

Q: What is the name of the flow when Mach number is one?

Q: Determine the flowrate and the pressure in the hose.

Q: The free-body diagram of roller C is shown with the truss members assumed to be in tension. AC BC…

A: ◆ First, calculate the force in the member AC by applying Lami's theorem or equilibrium equations by…

Q: A thin rectangular plate is uniformly deformed as shown. If L₁ = 0.120 in. and L₂ = 0.165 in.,…

Q: Someone has suggested that the air-standard Otto cycle is more accurate if the two polytropic…

A: Given:r=8P1=95 KPaT1=15 deg C =288KT3=1500°C =1773 K

Q: List two types of grinders used by welders.

A: welding is a joining process in which two metallic pieces are jointed with the help of heat or…

Q: Determine the reactions at B and D when b = 60 mm. 80 N A D 75 с 250 mm -90 mm- B

Q: How much of a cold air stream at 18°C, 80% relative humidity should be mixed with 5.8 kg da/s of a…

A: Write the enthalpy at 18 oC and 80% Relative humidity. h1=44.22 kJ/kg Write the enthalpy at 35 oC…

Q: Determine the force in each member of the loaded truss. Discuss the effects of varying the angle of…

Q: Two long cylinders 9.0 cm and 3.7 cm in diameter are completely surrounded by a medium with k -0.9…

Q: The hook is used to lift the force of P as shown. The section dimensions of a-a is given: P = 40 kN…

A: Given data: ◆ Load applied: P = 40 kN ◆ Inner radius of hook: c = 70 mm ◆ Parallel sides of section:…

Q: A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three…

Q: What is the major difference between ESW and EGW?

A: Electro gas welding (EGW) is very similar in principle to electro slag welding(ESW) in that it is…

Q: Determine the force P required to maintain the 240-kg engine in the position for which = 21. The…

Q: Name the device that is used to transmit the spindle power to the workpiece when held…

A: In a lathe machine, various processes are performed on the workpieces. In the lathe, the machined3…

Q: An electric motor drives a compressor by use of V-belt. The pulley diameter of the compressor shaft…

Q: The 10 kg block shown in Fig. Q4 is moving with a velocity of 6 m/s down the sloped surface.…

Q: A beam is simply supported on a span of 10 m. The beam supports a load of 15 kN/m on its entire…

A: Given Data: Length of the beam, L=10 m The magnitude of UDL load, w=15 kN/m Maximum bending stress,…

Q: A four-cylinder, two-stroke 2.4-L diesel engine that operates on an ideal Diesel cycle has a…

Q: An airplane has a half-wingspan of 26 m. Determine the change in length of the aluminum alloy [a =…

Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

Q: An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The…

A: Let us consider, Initial mass = m1 = m Initial stiffness = k1 = k Initial natural frequency = ω1 = ω…

Q: . How can discontinuities in the root face be removed?

A: Discontinuity is a defect, it is an interruption of the typical structure of a material, such as a…

Q: The signboard truss is designed to support a horizontal wind load of 560 lb. If the resultant of…

Q: The figure shows the EGL and HGL of a fluid as it enters a pipe and passes trough a vena contracta…

A: given; why head loss does not occur immediately instead of downstream?

Q: A mass weighing 4 lbs. stretches a spring 1.5 inches. The mass is given a positive displacement of 2…

A: Solution: Given Data: W=4 lbsx=1.5 inδ=2 inu=0F=2 cos 3t

Q: For the binary cycle shown, the enthalpies are h1 = 3,195 kJ/kg; h2 = 2,265 kJ/kg; h3 = 178 kJ/kg;…

Q: PLEASE WRITE YOUR COMPLETE SOLUTION AND BOX THE FINAL ANSWER. THANK YOU. Determine the normal…

A: Given data: δ=0.5 mmTi=27°CTf=126°C Need to determine the normal stress and change in length of the…

Q: Mach number is defined as the ratio of Select one: O a. Inertia force to pressure force O b. Inertia…

Concept explainers

Project Management Techniques

The guideways or the roadways that are undertaken to perform a project efficiently and all the tools required to accomplish the task are the general outlines for project management techniques.

Question

Please do not copy already posted answers. Attached is the solution process hint.

1,6 =-k(u, -u₂)(1.5€)-(1.5mg-sin)(1.50)
I₂₂=-k(u₂ -u₂)(e)-(mg-sin6₂) (1)
where
sin 8, ≈ 8₁, sin 8₂ 8₂
u₁ =1.500₁, u₂ = 10₂
I₁ = (1.5m)(1.50)², I₂ = me²
4
mee -ke-mg) + keo₂ = 0
mlö-klo, + (kl-mg)0₂ = 0
2 4
ame+kl-mg
e
-kl
4ke
®®${@mt+]kt-zwg}
e₁
wome-ke+mg
|=0
2(w ml-ke+mg)
3kl

For the system shown, assume m₁ = 1.5m₂ and ₁ = 1.5₂ where it is assumed that m₂ = m
and ₂ = . Find the natural frequencies and the amplitude ratios or this system in terms
k, l, and m.
ILIE
1913

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

Identify the expression for the natural frequency of the system shown in the figure.
A mass of 36.3 kg is carried on an elastic system of stiffness 350 kN/m, and carries an absorber consisting of a mass 3.18 kg attached to it by a spring of stiffness 1 kN/m. Write down the equations of motion of the compound system and solve them to find the natural frequencies of the system and the corresponding amplitude ratios. [7.37 Hz; (X2/X1)= 39.8; 15.83 Hz; (X₂/X₁)= -0.2]
The amplitude of vibration of an undamped system is measured to be 1 mm. The phase shift from t = 0 is measured to be 2 rad and the frequency is found to be 5 rad/s. Determine the initial displacement. * 3.6 mm/s - 2.1 mm/s - 7.4 mm/s 6.1 mm/s
The amplitude of vibration of an undamped system is measured to be 1 mm. The phase shift from t = 0 is measured to be 2 rad and the frequency is found to be 5 Hz. Determine the initial displacement
A table has a vertical sinusoidal motion with a constant frequency. What is the largest amplitude that the table can have if an object on the table is to remain in contact?
When a 2kg cylinder is suspended from a spring, the spring is stretched by a distance of 40 mm. What will be the natural frequency in Hz (use four decimal places) for aa 0.5 kg cylinder suspended from the same spring?
The amplitude of vibration of an undamped system is measured to be 1 mm. The phase shift from t = 0 is measured to be 2 rad and the frequency is found to be 5 rad/s. Determine the initial displacement. a.) 3.6 mm/s b.) 6.1 mm/s c.) - 2.1 mm/s d.) - 7.4 mm/s
An automobile whose weight is 150 N and it is mounted on 4 identical springs due to its weight it sags by 250 mm . each shock absorber has damping coefficient of 0.4 N for a velocity oof 30 mm/sec. The car is placed on a platform which moves vertically at resonance speed having an amplitude of 10mm. Find the amplitude of the car
Find the two natural frequencies of the system and describe its two natural modes of oscillation. See Attachment for assistance m1 = m2 = 1; k1 = 0, k2 = 2, k3 = 0
The model for free vibrations of the vehicle suspension system with an empty vehicle is 300\dot{x}+1200\dot{x}+12000x=0 Determine the natural frequency f_{n} and damping ratio ζ of the suspension system.
An oscillator system without damping has a natural frequency of omega 0 = pi rad/s. Several types of attenuation are given to the system to provide a damping factor (y) of 0.1, 0.5 and 1 s^-1. (a) For each damping factor value, determine the omega value of the oscillator!. (b) determine the displacement at time t = 2 seconds for the damping factor y = 0.5 , if the displacement at t = O is 30 mm and v = 1.5 m/s
1. Base motion y(t) has a triangular shape as shown in the figure.when given as;(1) Find the expression for the system response x(t) (base motion is repeated as a periodic function). At this time, the size of motion a = 0.01m and the period of motion is 0.2 sec.(2) Find the frequency with the largest amplitude among harmonic frequencies when k = 82,810N /m , m = 10kg.