Here is a simplified model of vehicle suspension system. The vehicle is being driven on the road below. The profile of the road and the velocity of the car in the horizontal direction are given. A road with such a profile will create an oscillation in the body of the car (the oscillation is denoted by y(t)). 1) Please obtain the magnitude of y(t) as a function of k and c. 2) Assume the mass of the car as 1 kg, k=10 N/m and c=2 Ns/m. What should the velocity of the car be to make |y(t)| less than 0.001 m?

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: www

A: Given-Information:- Ft = F cos ωt To-Determine:- 1. Equation of motion2.Does θ affect the magnitude…

Q: The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 3 mm.…

A:

Q: 11. A railroad car of mass 2,000 kg traveling at a velocity v = 10 m/s is stopped at the end of the…

A:

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

A:

Q: An automobile is modeled as a single-degree-of-freedom system vibrating in the vertical direction.…

A: Given Data The velocity of the automobile is:V=60 km/hr The natural frequency of the system is:fn=2…

Q: L= 0.4 m, = U. m =1.5 kg, N/im ánd è N determine an expression for the response of the system if the…

A:

Q: The complete slide- back and forth motion of a single reciprocating compressor piston completes in a…

A: M=Mass of  Piston=10 Kgk=Stiffness of Crank=65.5 N/m

Q: assuming that mass = 2150 kg K = 80.98 N/mm C =21.19 N/mm    Please answer correctly please.

A: This is a basic problem in Vibration Mechanics of Vehicles. The concept of the spring mass damper…

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

A:

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

A: Mass of the wheel and tire is 300 Kg Frequency of oscillations =30 rad/s

Q: Free Vibration A particle P of mass 5 kg moves along the x-axis attached to the origin with a spring…

A:

Q: A submarine is rolling under seawater whose radius of gyration is 12 m and period of oscillation of…

A:

Q: T1= 0.62 s T2= 0.54 s K1= 2440 n/m

A:

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: For the mass-damper system at right, the model in terms of velocity is mv + cv = f. The time…

A: Solution: Given Data: mv.+cv=fτ=mc To Find: Depend-ness of the time constant on the damping.

Q: a 15 kg mass, a 300 N/m stiffness spring is used. An initial 60-centimeter displacement is applied…

A: The position of the mass is given by Y(t) = A*Cos(wt).

Q: 2. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no…

A:

Q: A musical note on a piano has a frequency of 45 Hz. If the tension in the 2-m string is 308 N, and…

A: The wavelength is λ=2L=2×2=4 m The velocity is V=Tμ      ...(1) Here μ is the mass per unit length…

Q: The following vibration system oscillates with a small angle. x = 0.6m, y = 1.8m, k = 18N/m. From…

A: Given Data: x=0.6 my=1.8 mk=18 N/m∆=0.2 mω=30 rad/sθ=2 radmA=10 kg   To Find: 1. The natural…

Q: A pulley with an inertia J has a weight with a mass m hanging on it at a radius R, from the pin. A…

A: Given : To find : Equation of motion

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: When a tree branch bends, it can be assumed that acts as a spring, i.e there is a restoring force…

A: Given : To find : mass of the monkeys

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

A:

Q: vertical spring-mass system is submerged in oil. The spring has a stiffness coefficient of 3 N/m,…

A: Given; k=3N/mm=1 kgωd=0.866 Hz

Q: A spring is stretched (180mm) to the equilibrium position when attached to mass of 15 kg. If the…

A: Given, Initial displacement ( equilibrium ) = 180 mm = 0.18 m mass of the object  = 15 Kg downward…

Q: A tuning fork is struck, producing a pure tone as its tines vibrate. The vibrations are modeled by…

A: Given Data: The model function of vibration is v(t) = 0.7 sin(880πt). The general equation of SHM…

Q: 2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f.…

A: The initial frequency of the spring-mass system is given as, f=12πkm Here, k, and m represent spring…

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

A:

Q: You have a prototype Slinky with a lump of coal at the end. This forms a damped spring-mass system.…

A: Here Given:- m=1 k=3 b=1

Q: When testing the landing gear unit of a space vehicle drop tests are carried out. Figure 2.17 is a…

A:

Q: 1.19. A spherical ball of weight w and radius r rolls back and forth without slipping in a plane…

A:

Q: 3. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no…

A:

Q: The system shown below consists of two blocks moving to the right with a velocity of 7 m/s, where…

A:

Q: A simple single degree of freedom model of a wheel mounted of a spring as shown in figure below .the…

A: For solution refer below images.

Q: A 110 g object on a spring oscillates left to right on a frictionless surface Given a frequency of…

A:

Q: Consider the suspension model given below. The system moves across a terrain that car approximated…

A: To calculate the acceleration amplitude felt by the suspension system at different speeds, we can…

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…

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.