Problems 39 and 40 illustrate Iwo types of resonance in a mass-spring-dashpot system with given external force F(t) and with the initial conditions
Suppose that m = 1, k = 9, c = 0, and F(t) = 6 cos 3t. Use the inverse transform given in Eq. (16) to derive the solution x(t) = t sin 3t. Construct a figure that illustrates the resonance that occurs.
Trending nowThis is a popular solution!
Chapter 7 Solutions
MyLab Math with Pearson eText -- 24-Month Standalone Access Card -- For Differential Equations and Boundary Value Problems: Computing and Modeling Tech Update
Additional Engineering Textbook Solutions
Modern Database Management
SURVEY OF OPERATING SYSTEMS
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
Java How to Program, Early Objects (11th Edition) (Deitel: How to Program)
Starting Out With Visual Basic (8th Edition)
Starting Out with Java: From Control Structures through Objects (7th Edition) (What's New in Computer Science)
- Refer to the Hough transform discussed in Section 10.2.7. (a) Develop a general procedure for obtaining the normal representation of a line from its slope-intercept form, y = ax + b. (b) Find the normal representation of the line y = -2x + 1.arrow_forwardc. Show that the Laplace Transform 2e3 (4cos2t-5sin2t) is in the form eatf(t).arrow_forwardFind the Laplace transform of the functionarrow_forward
- Logic Function F (x, y, z, w) = ∑ m (0,2,4,6,10,13) + ∑ k (8,12) as sum of minimers are given. (Note: There are terms that are not taken into account.) a. Obtain the Truth Table. b. Simplify with the Karnough Map approach. c. Draw the simplified Logic circuit with two input AND-NOT (NAND) gates. With how many apples you realized, what is your gain? Comment.arrow_forward6. Given the function F = [I(0, 1, 4,6, 7,8,9) + Md(5,10, 11, 12) a. [10] Write the equation for F in reduced SOP form b. [10] Draw the circuit using AND gates, OR gates and INVERTERS.arrow_forwardProblem (1) For the circuit shown in fig. find the current supplied by the battery by using delta/star transformation 400 www 2002 500 30 V 2002 www 30Ω www 5Ω wwarrow_forward
- Help me to solve this Find the equation for a sine wave signal with a frequency of 10 Hz, maximum amplitude of 20 volts, and phase angle of 0arrow_forward3. You have seen how Kirchhoff's laws were used in your lectures to obtain a 2nd order differential equation where we solved for the current. This time we will use an even simpler concept: principle of conservation of energy to derive the 2nd order differential equation where we will solve for the charge. Take a look at the circuit below. IHE 2F In the circuit above, we have a capacitor with capacitance 2 F, an inductor of inductance 5 H and a resistor of 32 (a) The total energy that is supplied to the resistor is LI? E = 2 Q? 20 where L is the inductance, I is the current, C is the capacitance and Q is the charge. Write down the total energy supplied E in terms of Q and t only. OP Remember that I = dt (b) Now you know that the power dissipation through a resistor is -1R. Use the conservation of energy (energy gain rate = energy loss rate) to derive the differential equation in terms Q and t only. (c) Solve the differential equation for initial charge to be Qo with a initial current of…arrow_forwardDetermine the transfer function, of the rotational mechanical system shown in T(s) Figure Q2. The variables 6,(t) and 02(t) refer to angular displacement of motion, while T(t) is a torque applied to the system. Given the value of spring, damping coefficient and inertia as; J: 5 kg-m? Di: 5 N-m-s/rad J2: 10 kg-m? K : 6 N-m/rad K2 : 5 N-m/rad D::4 N-m-s/rad D3:2 N-m-s/rad T(t) e,(1) D2 K2 0000 D1 D3 Figure Q2arrow_forward
- - For the following logic functions find their minimal SOP using Karnaugh maps. (a) F =Σx,y,z(1,3,5,6,7) (c) F=Пwxy(1,4,5, 6, 7) (e) F = ПIA.B.C.D(4, 5, 6, 13,15) (b) F=Σw.X.YZ(1,4,5,6,7,9,14,15) (d) FΣw.x.Y.z(0,1,6,7,8,9,14,15) (f) FΣA.B.C.D(4,5,6, 11, 13,14,15)arrow_forward] Find the inverse Laplace transform of one only: 4 (s-4)³ a) F(s) b) F(s) = e -TTS S²+2arrow_forwardA beam containing 1000 monoenergetic photons applied to material with a thickness of 0.5cm and linear attenuation coefficient of 82 x 1 m-1. Find the number of outgoing beam.arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr