6.16 Obtain the model of the currents i₁, i₁, and i3, given the input voltages v₁ and V2, for the circuit shown in Figure P6.16. Figure P6.16 L 000 R
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- 3:17 AM ← Jonathan Wickert, Kemper Lewis - An Introduction to Mechanical Engineering-Cengage L... Figure P8.3 Problem P8.3 The disk in a computer hard drive spins at 7200 rpm (Figure P8.3). At the radius of 30 mm, a stream of data is magnetically written on the disk, and the spacing between data bits is 25 µm. Determine the number of bits per second that pass by the read/write head. 30 mm 7200 rpm BA um 4G+ 49%Q3/Using the superposition theorem, find the value of output voltage(v.) in the circuit shown 11 R1 6A 10 4A R3 + ww 30 a vo 2VConsider the following for a single-degree-of-freedom system with m = 1. X, k = 2.5, and c = 1.8. Here, the value of X indicating of the number of your group. For example, if your group number is 15 gives X = 15, therefore the values of m = 1.15. If your group number is 9 gives X = 9, therefore the values of m = 1.9 Find; (i) Natural frequency, Wn (ii) Linear frequency, fn (iii) Critical damping constant, cc (iv) Damping ratio, 3 (v) Damped frequency, wa
- 4.A system has the characteristic equation D(s) = s' + 2s² + (k+1)s+ 6 = 0 2. Find the range of K for a stable system6. The electro-mechanical system shown below consists of an electric motor with input voltage V which drives inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System puthiy C V V₁ R bac (0) T bac T Motor - Motor Input Voltage - Motor Back EMF = Kbac ( - Motor Angular Velocity - Motor Output Torque = K₂ i Kbacs K₁ - Motor Constants Mechanical System M T Frictionless SupportQ2: Find the steady- state response of the system in Fig. below for the following data: kı=1000N/m, k=500N/m, c=500N.s/m, m=10kg, r=5cm, Jo=1kg.m², Fo=50N and 0=20rad/s Pulley, mass moment of inertia Jo k2 Fo sin wt m x(1) k
- A mass of 2 kilograms is on a spring with spring constant k newtons per meter with no damping. Suppose the system is at rest and at time t = 0 the mass is kicked and starts traveling at 2 meters per second. How large does k have to be to so that the mass does not go further than 3 meters from the rest position? use 2nd order differential equations to solve (mechanical vibrations)Topic: Time Response Please Make it digital instead of handwritten if applicable but it can't please make your handwritten readable. Thank you very much Please Answer No.1 Consider the translational mechanical network system shown on the figure. A 1-lb force, f(t), si applied at t=0. If fv=1, find K and M such that the response is characterized by a 4-sec settling time and a 1-sec peak time. Also, what is the resulting %OS?Consider the double-slider two-loop linkage of Figure 2.23, where r₁ = 1, r₂ = 5.2, p = 5, "DE = 4, "CD = 1.5, and 0₁ = 7/3 rad. (Distance DE is identified as PDE, etc.) Find 02, 03, D, and E. B "₁ 0₂ 50₂ TE
- Consider the translational mechanical system shownA 1-pound force, f(t), is applied at t = 0.If fv = 1, find K and M such that the response is characterized by a 4-second settling time and a 1-second peak time.Also, what is the resulting percent overshoot?Please answer: How many degrees of freedom are in the system Write out the equations of morion in matrix form & Find the natural frequencies Given: k = 10 N/m; r = 0.5 m; I1 = 1.25 kg*m2 ; I2 = 1.2 kg*m2; m = 1 kgFigure 1 shows an electrical system comprising a series RLC circuit and input voltagesource ein(t).(a) Derive the input-output equation with output y = I and input u = ein(t). (b) Using the derived input-output equation, drive the system transfer function G(s)that relates output to input. Use the following numerical values for the electrical systemparameters: resistance R = 2Ω, inductance L = 0.25H, and capacitance C = 0.4F. (c) Using the derived transfer function, derive the time-domain ordinary differentialequation for the input-output equation of this electrical system. (d) Draw the complete block diagram of this series RLC circuit using the derived transferfunction.