.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]

Q: III. Derive the equations of motion of the shown system, then find the natural frequencies and mode…

A: Given-  , and .To Find-Derive the equations of motion of the shown system,find the natural…

Q: k1 m1 Jo- k2 m2

A:

Q: A single degree damped vibrating system is formed of a block of mass m= 10 kg, a spring of K= 100…

A:

Q: Find the amplitude and period of the function, and sketch its graph. y = -2 cos 37x

A: The given function is Comparing it with the standard equation The amplitude of the given function…

Q: 1. A frictionless spring-mass system slides back and forth with simple harmonic motion on a…

A: Given: The mass attached to the spring, m = 5.4 kg The spring constant, k = 3000 N/m The amplitude,…

Q: b Πa M 0 k wwwwww Rigid bar

A:

Q: Find the amplitude and period of the function, and sketch its graph. y = 4 sin(-2x)

A: Given data: The sine function is y=4 sin(-2x) The general expression of the function is, y=A sin…

Q: 7. Two subway cars shown below have 2000 kg mass each and are connected by a coupler. The coupler…

A:

Q: 0.5 and For the system shown, the spring constant k = 400 kN/m, damping coefficient zeta = mass m =…

A:

Q: A spring mass system consists of a mass 10 kg and a spring with a stiffness of 2 kN/m. The spring…

A:

Q: A block of mass m = 16 kg oscillates attached to a spring of spring constant K = 162 N/m. The motion…

A:

Q: An undamped spring mass system has a mass of 10 kg and a spring stiffness of 2250 N/m. It is excited…

A:

Q: An athlete exerts a tension of 6.00×10^2 N on one end of a horizontal rope that has length 50.0 m…

A: Given data: t=0.615 sT=6×102 Nl=50 mm=2.5 kgA=3 cm Need to determine the average rate at which…

Q: Figure Q1 shows two pendulum of masses m1 and m2 and length 1 and 12, coupled together with a spring…

A: given data: two pendulum mass m1&m2 stiffness of sping=k find frequencies f1&f2

Q: Problem 6. Fox Fork Fabrication Fox Factory Inc. is testing a new fork design. A step force of F=…

A:

Q: 1. Consider the system of Figure. For c₁ = c₂ = c₁ = 0, derive the equation of ༦༣ motion and…

A: Step 1:Step 2:

Q: Find the amplitude and period of the function, and sketch its graph. y = cos 47x

A: Given equation: y =cos4πx The standard periodic functions are: Here, b is the real number and A is…

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

A:

Q: A musical note on a piano has a frequency of 40 Hz. If the tension in the 2-m string is 308 N, and…

A: Wavelength is λ=2L=2×2=4 m The velocity is v=Tμ           ..................(1) Here μ is the mass…

Q: 200 mm m 15 kg C-40 N-5/m TTTTT Fig. 1 K-300 N/m 100 mm

A: Mass =15kgC= 40 N-s/mK= 300 N/m

Q: Q1 Derive the equations of motion of the system. Find the system's natural frequencies, with m₁ = m,…

A: m1 = m m2 = 2m k1 = k k2 = 2k

Q: 4.a Draw the free body diagrams and derive the equation of motion.

A: 1. Two Masses-Two Springs system of vibration 2. All spring constants are equal i.e., k1 = k2 = k3 =…

Q: 3. A spring with spring constant 20N/m is attached to a 5kg mass with negligible friction. Determine…

A:

Q: Ql: A carriage is moving on a sinusoidal road as shown in the figure, the velocity of the carriage…

A: Given:Velocity of empty carriage,V=0.3msDamping factor=0.5Initial Amplitude,AO=20cm=0.2mLet…

Q: 1. For the system shown, the spring constant k = 400 kN/m, damping coefficient zeta = 0.5 and the…

A:

Q: Problem 2: Consider the following spring/damper interconnection attached to the wall W where k= 50…

A:

Q: An electrical switch gear is supported by a crane through a steel cable of length 4 m and diameter…

A: Given data: L=4 md=0.01 mT=0.01 s Need to determine the stiffness of the cable.

Q: For the system shown in Figure 1, m₁ = 35 kg, m₂ = 20 kg, k₁=1500 and k₂=2000 If the initial…

A: The values are m1=35 kg, m2=20 kg, k1=1500 N/m, k2=2000 N/m. The initial conditions of mass m1 is…

Q: For the system shown, assume m₁ = 1.5m₂ and ₁ = 1.5₂ where it is assumed that m₂ = m and ₂ = . Find…

A:

Q: The system shown below is subject to a sinusoidal base excitation with an amplitude of Y and…

A: This problem is from vibration and damping. In this case, there are one pair of spring in parallel…

Q: The non-zero value of @,

A: Given; A single-degree of freedom oscillator is subjected to harmonic excitation  Ft=F0cosωts shown…

Q: Determine the response x(t) of the system in the figure, when the system is initially at rest, and…

A: Spring mass damper system The mass is The applied force is The system starts from rest.

Q: 1 -Using the Energy method, derive the equation of motion Assume that the rotation is very small. 2…

A:

Q: a shaft 20 mm diameter and 3m long is simply supported at each end. A flywheel of 10 kg mass is…

A:

Q: Base motion y(t) has a triangular shape as shown in the figure. when given as; (1) Find the…

A:

Q: A 100 kg fan is mounted on four parallel springs and a damper as shown. If the spring coefficient of…

A: Equivalent stiffness of the system = 120/4 = 30 kN/m angular rotation = w =4000 x 2π60= 418.8790…

Q: The tail rotor section of the helicopter has 4 blades. Each of mass 2.3kg and the engine box of mass…

A: option B is correct

Q: please answer ans explain

A: Step 1:1. Transfer Functions: Due to the complexity of deriving transfer functions for a…

Q: The model shown is to be studied. Determine: Natural frequencies and Modes Obtain the response of…

A: FREE BODY DIAGRAM is a diagram of the system which represents all the forces acting on the system.…

Q: What is the natural frequency of the spring mass system shown below? The contact between the block…

A:

Q: Determine the response of a system with one degree of freedom to an impulse F for the following…

A:

Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.