Do not give answer in image and hand writing NmConsider a mass spring system with m = 1kg. ß = 5k and k = 4force applied to the mass is F(t) = 2e²t. Find the equation for the displacement ofthe mass if x (0) = x (0) = 0. Plot x(t) and x (t) for at least up to 10 seconds, andexplain what you learn from the plots. Use Laplace transform method. (USEMATHLAB AS WELL).The external

Answered: m Consider a mass spring system with m…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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laplace transform
A door stopper spring is held at an angle from its equilibrium position and then released, and the angular velocity of the plastic end is given by the function: w(t) = 3e-0.2t cos(7t) 1. Find its angular acceleration function a (t). 2. Find its angular displacement function 0 (t), assuming 0 (0) 0. 3. If the rotational motion is confined to the xy plane, what is the direction of the acceleration at t-0? Justify your answers with your rationale and equations used.
6. 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 Support
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Given the vibrating system below: K1 K3 K4 Find the following 1. Keq 2. Ceq 3. Natural angular velocity K2 m C1 C3 C5 C2 C4 4. Damped angular velocity 5. Type of Damping 6. Equation of motion x(t). Assume Initial conditions for displacement and velocity Graph 2 cycles of the vibrating system. You can use third party app for this. 7. M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2= 40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m
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Q5. For a point at distance 50 m and angle 450 to the axis which of the following statements are correct? Consider an infinite baffled piston of radius 5 cm driven at 2 kHz in air with velocity 10 m/s. You may choose multiple options. a. The constant term is given by 515.03 b. The distance dependent term is given by e-jk50/50 c. The directivity term is given by j1(Ka sin 450)/sin 450 d. There is no time dependent term.

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