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In the figure, the suspension system is composed of a damper and spring having the damping and stiffness coefficients of \(\mathrm{C}=60[\mathrm{Ns} / \mathrm{m}]\) and \(\mathrm{K}=7200[\mathrm{~N} / \mathrm{m}]\)respectively. The test rig shown in the figure is used to obtain the oscillation characteristics of the suspension system in the \(y\) -direction. The input of the system is given as the road profile as a sine function and it is given by velocity \(V\) in \(x\) -direction. The tire attached at point \(O\)...
For the cone water tank given in the figure, the relation between the flow rate \(q(t)\) and the water level \(h(t)\) is given as \(q(t)=0.005 h^{2}(t) \cdot q(t)\) is in \(\left[m^{3} / s\right]\) and \(h(t)\) in [m].a. When \(t=0\), the valve is closed and the water level is \(2[\mathrm{~m}]\). Find the level of the water after 60 seconds of the valve opening. b. Find the linearized expression for water flow rate \(q(t)\) about initial conditions.
The elevator system given in the figure moves up and down with a velocity of v=1 m/sec. As the elevator starts to move, it reaches to its steady state angular velocity in 1 seconds. It is known that all the friction effects within the system are neglected. The other information related with the system are given as below: Mass moment of inertia about motor shaft M-M : JM=1.25 kgm2 Mass moment of inertia about the elevator shaft K-K : JK=1...
(please help)pneumatic valve is maintaining pressure Pi(t) to the system in order to control the flow rate of the gas entering the pressure tank as indicated in the figure. Due to the pressure, a force F(t) is applied to the valve plug having mass of m, stiffness of K and Coloumb friction of B and this force causes a displacement x(t) which opens the valve to let the gas to flow into the tank. The relation between the displacement and...
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1. a. Cite the factors that influence the Diffusionb. Define the Fick's \(1^{\text {st }}\) law, and mention the difference with the \(2^{\text {nd }}\) law.c. Draw a stress- strain plot and indicate on the diagram the terms cited below:Yield StressTensile StrengthFracture point Uniform plastic deformation and non-uniform plastic deformationd. Draw a stress strain plots showing ceramics, metals and polymers, on the same graph.
4. A cylindrical aluminum specimen having a diameter of \(20 \mathrm{~mm}\) and length of \(210 \mathrm{~mm}\) is deformed elastically in tension with a force of \(48,800 \mathrm{~N},\left(\mathrm{U}_{\mathrm{A} 1}=0.33, \mathrm{E}_{\mathrm{Al}}=69 \mathrm{GPa}\right)\)Determine the following:(a) The amount by which this specimen will elongate in the direction of the applied stress.(b) The change in diameter of the specimen. Will the diameter increase or decrease?