A single-story building frame is subjected to a harmonic ground acceleration as shown in Figure 7. Assume that M =1,099 kg, A=0.32 m/s^2 , ω=1.6 r/s and K=10,060 N/m. Find the maximum amplitude of the steady state motion of the floor in millimetre (mm).

Q: The answer for natural frequency is given below. Obtain the differential equation of motion and…

A: From the similar triangle-δ1l1=δ3l3δ1=l1l3δ3 .....(1)Similarly,δ2l2=δ3l3δ2=l2l3δ3 .....(2)

Q: Find the motion of the system in the figure below with mass 0.25 kg, no damping, spring constant 1…

A: Write the differential equation of motion.…

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: O f =9f A block attached to a spring. oscillates on a frictionless horizontal surface with a period…

A:

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the frequency of…

A: It is required to determine ratio of frequency on two different places

Q: Magnitude of 23N harmonic force is acting on an undamped system with mass of 10kg and stiffness of…

A:

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…

Q: 2DOF system as shown in figure below, M1=m, M2=2m, k1 =5k, k2=10k. 4. If initial displacement of m1…

A:

Q: The beam shown in Figure 2(a) has a mass of 31 kg, length of 2.6 m and a pivot about point C. A…

A: To draw: Free body diagram of the beam, if the equation of motion of the beam is…

Q: The nat. period of an undamped system is 3 s, but with a damping force that is proportional to the…

A:

Q: The springs in the system as shown in Figure Q4 are all identical, with stiffness k of 1000 kN/m ,…

A: Given, Mass od slender rod, m=25kg Length of the rod, L=780cm Moment of inertia around B point,…

Q: A vehicle wheel, tire, and suspension can be modeled as a SDOF spring and mass as depicted below:…

A: Given data: The mass of wheel and tire is m=300 kg The frequency of oscillation is ω=10 rad/s

Q: Q3) A 16 lb cylinder stretches a spring 2/27 inches by itself. The spring is initially displaced 1/2…

A: according to the given data

Q: A mass weighing 16 pounds stretches a spring 83 feet. The mass is initially released from rest from…

A:

Q: A block attached to a spring, oscillates on a frictionless horizontal surface with a period of 0.3…

A:

Q: 2. Determine the natural period of the system shown in Figure 2 using m = 3000 kg, k = 25 kN/m, L=…

A:

Q: A mass, m of 20 kg consider one vertical motion only with angular displacement, 0 = wt, with spring…

A:

Q: X1 X2 m2 k1 k2

A:

Q: A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floor steel…

A: As per honor code and answering guidelines I can answer 1st three subparts at a time.If you  want…

Q: A spring is stretched (250mm) to the equilibrium position when attached to mass of 15 kg. If the…

A: Given m=15 kg δ=250 mm=0.25 m g=9.81 m/s2 Condition: xt=0=100 mm=0.1 mx˙t=0=150 mm/s=0.15 m/s

Q: A 25 kg mass is attached to a spring with spring constant 100 N/m. The mass is driven by an external…

A:

Q: Problem 6 F1 8 kN S kN/m A couple force acts on the beam. The couple moment at point E is found to…

A: Given: The couple moment at E, ME = 200 kN.m

Q: Consider the damped harmonic oscillator shown below and modeled by the system: k - ()*+ (-) m (1)…

A:

Q: An object of mass 0.5 kg is attached to a spring with the spring constant 8 N/m. The object…

A:

Q: own an ODE that m system. trotch the coring 1

A: The differential equation is, m * (d ^ 2 * x)/(d * t ^ 2) + b * (dx)/(dt) + kx = 0 where m is the…

Q: A glider of mass 0.350 kg is placed on a frictionless, horizontal air track. One end of a horizontal…

A:

Q: solve please by lagrang method to find the eqation of motion and to find the frequencies and mode,…

A: a=255 mm b=100 mm L= 400 mmM=1.1 kgm=.995 kgk=5 Nmm or 5000 Nm

Q: When spinning at 500 rotations per minute two washing machines produce two sinusoidal forces with…

A: Given Data: washing machines rotation n=500 rpm Two sinusoidal forces with same maximum amplitude…

Q: Q.3 The following figure depicts the mass spring system. The mass is displaced 0.05 m & released…

A: Given: Mass of the system→M=1 Kg Damping coefficient→D=2 Nsec/m Spring stiffness→K=100 N/m Hence…

Q: QI Calculate the frequency of damped oscillation of the system shown in Figure () for the value m=…

A:

Q: Q3/ A mass has (1 kg) connected to spring has a stiffens (16 N/m) move in simple harmonic motion…

A:

Q: Suppose a mass-spring system has spring constant 712 N/m and mass 4.4 kg. The mass is displaced in…

A:

Q: Find the natural frequencies of the system for k₁= 250 N/m, k₂ = 700 N/m, k3 = 100 N/m, m₁ = 1.8 kg,…

A: Given: The stiffness of spring 1, K1 = 250 N/m The stiffness of spring 2, K2 = 700 N/m The stiffness…

Q: he natural frequenCy of vibration of

A:

Q: Consider the double mass/double spring system shown below. - click to expand. Both springs have…

A: Given:To find:Initial displacementsFrequency

Q: damping, c m C2 Sliding Crate with Bumper Stop A crate of mass m enters a lubricated slide at a…

A: Given : To find : Governing equation

Q: DOF system as shown in figure below, M1=m, M2=2m, k1 =5k, k2=10k. 1. Write down the equations of…

A:

Q: * Find the equations of motion of the systems if you know: T =mở tan U=In(4) R = Q =0 2 16

A:

Q: Find the period and make a graph of "xv/s t", of a mass-spring system with elastic constant K=8…

A: Elastic Constant k=8 kg/s2,  m = 2 kg, Stretched Distance δ=0.5 m

Q: given in the figure a mass of three arcsand a transformation element, you can find the equivalence…

A: given data m=2 kg, k=10N/m, c=0.1 Ns/m

Design of Observer

According to the control theory, the state observer (state estimator) is known as the term that gives the measures of the internal state of any particular absolute system. The state observer uses the input as well as output of the system for measuring the internal state. It is standard computer-implemented and delivers the basis for numerous practical applications.