2k FO 3k 3r k

Q: A 0.5 kg mass is attached to spring constant 01 N/mm. Determine its natural Frequency in Hertz O At=…

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Q: cm. It is then stretched an additional 35.0 cm and rele i) the frequency of vibration ii) the period

A: given:coiled spring mass m=70ginitial streched by x=20cmagain streched by x1 =35cm

Q: A damped spring macs has m=l2kq, K = 12N mm. and C=O.BNs/mm. Obtain the equation the displacement of…

A: Given ,  spring constant  k =12N/mm =12000N/m. damping coefficient  c =0.3 Ns/mm = 300 Ns/m. mass ,…

Q: Q. Show by an example that Kharitonov's Theorem does not hold when the stability region is the…

A: If all four Kharitonov polynomials of a continuous-time interval polynomial are stable, it is…

Q: Q1:- For the system shown on the figure calculate the natural frequency and specify whether the…

A: Given:m=10 kgI=0.1 kg-m2r=10 cm or 0.1 mk=1.6×105 N/mc=640 N-sm2M=100 N/mω=180 rad/s

Q: Find the amplitude ratio for the system shown in Figure (1) and Graph it with 3 for = 0.5. wn

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Q: A load weighing 2 kg is attached to a spring. If the damping force is 5.5, spring constant  is 4.2,…

A: Given data as per the question Mass =2kgDamping =5.5spring (k)=4.2Distance(A)=0.2in=0.00508 m

Q: Derive the expression for the frequency trasfer functions X,(i w)/F (i w) and 0(i w)/F(i w) and…

A: Given : To find : Transfer function

Q: sed to support the equipment of weight W 1000 lbs shown. The equipment vibrates in such a way that…

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Q: -The instrument in fig(3) has mass of (50kg), with four springs each one them with stiffness…

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Q: If the stiffness of the spring is increased to 16 times and mass is reduced to 1/4th times the…

A: Let us take, Original stiffness = k1 Original mass = m1 New stiffness = k2 New mass = m2   From the…

Q: A. Obtain the differential equations and set them in the matrix form. B. find the natural…

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Q: * The governing equations of a mass-spring vibrating system with two masses are: yi' = -2y1 - y2 y"…

A: Given : To find : Frequencies and relative displacements

Q: The natural frequency corresponding to the spring mass system 1 and 2 are W 1 and W2 respectively,…

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Q: What is the period of vibration of a system that has k=5000 and m-55 kg 0.612 sec O 0.658 sec O…

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Q: determine the natural frequency of

A: Given: Weight =160 lb Stiffness= 10 lb/in To determine: Natural frequency

Q: Excersise 2: Calculate (a) the amplitude and (b) the phase constant for the vibration give by x =…

A: Given Convert this form into OR where x=amplitude=phase angle we know that,

Q: n cm. The ratio of two successive amplitudes at the interval half of the time period 20. Evaluate…

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Q: A weight of 12 Ib is suspended by a spring having a modulus of 9.6 lb/in. A dashpot having a viscous…

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Q: 2k M m

A: Given: To find: natural frequency

Q: A mechanical system has a stiffness of 5-kN/m and a mass of 2-kg. When a force of 20*sin(@t) [in M]…

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Q: Find the natural frequency of vibration system arranged on an inclined plane having the following…

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Q: Determine the natural frequency of the system shown in figure by Energy and Newton's method. Disc lo…

A: Write the total energy expression as follows.

Q: b. If the vibration at the boundaries of the piston of the motor is given by: i. v(t) = at + b; a, b…

A: Given Data ⇒ivt=at+biivt=te-tiiivt=5sin2ωtcos4ωtProblem definition⇒Problem says determine average…

Q: 1. When the displacement of a machine is given by x(t) = 18cosl0f, where x is measured in…

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Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

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Q: k2 k3 m - 13-

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Q: 2.9 Find the natural frequency of vibration of a spring-mass system arranged on an inclined plane,…

A: It is required to determine natural frequency of given spring mass system

Q: Q3:- For what value ( m) the resonance will accour in the system shown. 200 sin 50r 2x 10 N nmn Ix…

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Q: A car has a natural frequency of 20 m/s without passengers, when there are passengers inside it has…

A: Natural frequency of car without passenger is given by, ωn=km rad/sec where, k = stiffness of car…

Q: N/m. Detérmine the fundamental natural frequency of the system by ing Stodola's method. X1 X2…

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Q: Question 2, Write the boundary conditions and show how you would drive the frequency equation for…

A: u(x,t)=ϕ(x)q(t)=[A1sin(ωc)x+A2cos(ωc)](B1sinωt+B2cosωt)where c=Eρso to drive frequency equation we…

Q: Q1/The system shown in figure (1) consists of a spring of constant (k) and that the spring is…

A: Understand that the given string is inextensible thus, the displacement, velocity and acceleration…

Q: Q2:- Find the natural frequency and the steady state amplitude of vibration for the system shown in…

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Q: as shown in figure below, M1=m, M2=2m, k1 =5k, k2=10k. Set the mode shapes of the system. Finitial…

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Q: Derive the equation of motion and find the natural frequency of vibration of each of the sys- tems…

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Q: The amplitude of motion in the undamped system is diminishes with time to be then zero Ture False O

A: The general equation of motion for undamped free vibration is given by, x=X e-ζ ωnt×sin(ωd+φ)where,X…

Q: The following diagram shows a piston moving in a cylinder with rod AB. Point B is rotating clockwise…

A: (i) Write the expression for motion of B. r=Ccosωt+Dsinωt=42cos20t+42sin20t=42cos20t+sin20t

Q: Determine the natural frequency of the system which is shown below. Here, springs geometries are…

A: Given Data For CopperG2=45GPar=0.025mFor Mild SteelG1=78GPaR=0.0625mt=0.0125m

Q: rce which has an amplitude F, = 20 N and itial conditions are xo = 4 cm, and x, = 0. of the mass…

A: data provided normal frequency wn =k/m =2700/3 =30 rad/s M = 3 kg K =2700N/mc =18 N.s/mF0 = 20 N wf…

Q: A) Show that for the damped spring – mass system , the peak amplitude occurs at a frequency ratio…

A: Vibrations: The back and forth motion of the body, when the body is displaced from the equilibrium…

Q: The damped frame was subjected to free vibration at W=1000 kN, u0=L+10cm. If the amplitude measured…

A: Given : W = 1000 kN u = 12 cm X = 9 cm t = 3 sec To find: damping ratio

Q: Determine the equation of motion and natural frequency for the inverted pendulum. Gravity acts as a…

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Q: 27. A spring is stretch 9 cm when a given mass hung from it. What is the frequency of the vibrating…

A: Elastic vibration in which there are no friction and external forces after the initial release of…

Q: Find the Natural frequency of the system.

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Q: A diving board has a mass of 7.8 kg and a stiffness of 4.4 N/m. Its length is 1.8 m. Determine the…

A: Given data M=7.8 kg K=4.4 N/m

Q: elect the best outcome/situation for the structure when the frequency ɔ, r equal to 1 *

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Q: (q4) What is the frequency of the first harmonic? Let's say you now measure the length of the string…

A: (4) Write the expression for frequency of first harmonics. μ=ml

Q: The amplitude of vibration of an undamped system is measured to be 1 mm. The phase shift from t = 0…

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