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: 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: pls answer question a and b sir pls use this matrix num sir (ad 200153)

A:

Q: 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…

A: Given: To find: Natural frequency

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: A mass attached to a spring is initially (t=0) released 5cm away from the equlibrium position. What…

A:

Q: 2. The acceleration of an object modeled as a mass-spring midel is measured and demonstrated in the…

A:

Q: The 4-kg cylinder is attached to a viscous damper and to the spring of stiffness k-800 N/m. Write…

A: Given data:- Mass of the block =4 kg spring of stiffness = 800 N/m. c=124 N.s/m c=80 N.s/m To…

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: Find the natural frequency of the system for small oscillations.

A: Given: To determine: Natural frequency for small oscillation

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: Derive the differential equation and find the natural frequency. Neglect friction. (Mech. Vibration)

A:

Q: 2) Consider the compound pendulum-spring-mass system below where the mass mr is added to the tip and…

A: To findFind the equation of motion and natural frequency.Givenmass of pendulum = stiffness of spring…

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

A:

Q: PART A k = 2.000 N/m M=0.125kg A 0.125kg mass is attached to a horizontal spring of spring constant…

A: GIven:   "Since you have not mentioned the part to be solved so we are solving the remaining…

Q: The mass of the system shown in figure below is moved 13 mm to the right and released Numerical…

A:

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: A mass of 2 kg stretches a spring by m with a force of 10 N. A dashpot is attached that exerts a…

A: Given: m = 2 kg x = 0.625 m Fs = 10 N Fd = 16 N v = 2 m/sec At t = 0 x = 1 m v= 5 m/s To find:…

Q: 3 Consider the following 1-DOF system, where k = 857.8 N/m, c =7.8 kg/s, and m - 19.2 × 10-3 kg,…

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: t. Design the following application case The mechanical vibration system is shown in Figure (a).…

A:

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: Prob. 2: An undamped system vibrates with a frequency of 20 Hz and amplitude of 1 mm. Calculate the…

A:

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: The system shown in Figure Q1 consists of a crank lever AOD, 3 pulleys and container fill-up with…

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: A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with…

A: Given : Amplitude, A = 0.1 m   In Simple Harmonic Motion, The motion of the mass-spring system…

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: m, 0.5m- 1m The figure shows a slender rod with a mass of 6 kg. Attached to the rod is a spring of…

A: Let us consider very small angular deflection θ , such that sinθ≈θ. Mass of rod m=6kg, Point mass…

Q: The figure shows a bar of mass M- 4 Kg an of the bar of m= 4 kg. The bar is supported 800 N/m Find…

A: The net mass moment of inertia about the hinge point is-

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

Q: Q2: k= 10 kg/cm m= 8 kg Determine the natural frequency and the k motion equation of the system…

A:

Q: A point mass is executing simple harmonic motion with an amplitude of 10 mm and frequency of 4 Hz.…

A: GIVEN DATA - AMPLITUDE A=10mm FREQUENCY f=4Hz WE HAVE TO FIND MAXIMUM ACCELERATION

Q: Find the natural frequency (w) and the period (T). Given this value of mass (m) = 0.5 kg and spring…

A:

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.