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A force F is applied at the tip of the uniform bar shown in the figure. The displacement of the bar is given as u(X) = λX where λ is the principal stretch. The initial length and the cross-sectional area of the bar are, respectively, A0 and L0. The elastic modulus of the material is E.
Calculate the tip displacement by solving for the principal stretch using the total Lagrangian formulation with the St. Venant-Kirchhoff material model.
Assume the following numerical values: E = 700 MPa, A0 = 1.0 X 10-4 m2, L0 = 1.0 m, and F = 10 kN. Compare the tip displacement with that of the linear elastic model when (a) E = 700 MPa and (b) E = 70 GPa.
The lifetime of a turtle is a continuous value uniformly distributed between 50 and 150 years. Let X and Y be the lifetimes of two randomly chosen turtles, and consider the following events: A = {X
Derive a hazard-free realization (and show that it is hazard-free), of the function AC+BCD+A'B'D' using only 2-input NAND gates, assume inputs are available uncomplemented and complemented.
Consider the circuit shown in Figure.The circuit has been operating for a long time with the switch closed prior to t = 0. Determine the values of iL, i1, i2, i3, and vC just before the switch opens.
There is a circuit with a 12V DC battery, 500mH inductor, a 45 ohm resistor, and a switch all in series. Suppose the switch has been closed for a very long time. What is the magnitude of the current through the inductor. Is it constant, increas..
When the generator is disconnected from the line, the drive motor speeds up to 220 rad/s. What is the terminal voltage?
Proof the law of s with respect to amnetism. use the figure as guide. show all the steps clearly. - For the circuit in fig. 1. find i1 to i4 using mesh analysis.
Description of Transformer, An 11 kV to 415 V transformer has a rating of 100 kVA. The winding resistance and leakage reactance when referred to the secondary are 0.0142 Ohm and 0.0569 Ohm respectively
what is the atomic polarizability of argon? its susceptibility at 273k and 1atm is 4.35x10-4. treat as an ideal gas ie
A capacitor is charged to 100 V and is then disconnected. Leakage reduces its voltage to 35 V in 45 minutes. Estimate the additional time required for the voltage to drop to 8 V. The leakage is represented by a resistance in parallel with the c..
A point charge of 500π [nC] is located at the origin, an infinite uniform line charge with density of 18π[nC/m] lies along the z axis, and a uniform surface charge density of 2 [nC/m2] lies on all the z = 0 plane.
Design a combinational circuit that multiplies two 2-bit numbers, a1,a0 and b1,b0, to produced a 4-bit productc3,c2,c1,c0,. Use AND gates and half-adders.
Signal generator‘s internal impedance is purely resistive andhas an open-circuit voltage of 3.5 V. When the generator is loaded with 22 ohms of resistance, its terminalvoltage drops to 2.8 V. What is the generator's output impedance (pure resistanc..
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