Prob. # 2] An automobile moving a rough road (Figure P4) can be modeled considering a) weight of the car body, passengers, seats, front wheels, and rear wheels; b) elasticity of tires (suspension), main springs, and seats; and c) damping the seats, shock absorbers, and tires. Develop three mathematical models of the system using a gradual refinement in the modeling process. Figure P2. Prob. # 3| The mass (Figure P3), m 0.4 kg, is suspended from two springs in series with stiffness of ki = 20 N/m and ka = 30 N/m. Determine a) the equivalent spring stiffness, b) the total spring deflection, and c) the degree-of-freedom of the system. Prob. # 4] Three identical springs (Figure P4), each of stiffness k= 60 lb/it, support a block of mass m = 0.5 lb. Bar AB is rigidly and lightly enough that its deflection and mass are negligible. Determine a) the equivalent stiffness of the springs, b) the total elongation of the springs, and c) the degrees-of- freedom the system. P3 m wwE

Prob. # 2] An automobile moving a rough road (Figure P4) can be modeled considering a) weight of the car body, passengers, seats, front wheels, and rear wheels; b) elasticity of tires (suspension), main springs, and seats; and c) damping the seats, shock absorbers, and tires. Develop three mathematical models of the system using a gradual refinement in the modeling process. Figure P2. Prob. # 3| The mass (Figure P3), m 0.4 kg, is suspended from two springs in series with stiffness of ki = 20 N/m and ka = 30 N/m. Determine a) the equivalent spring stiffness, b) the total spring deflection, and c) the degree-of-freedom of the system. Prob. # 4] Three identical springs (Figure P4), each of stiffness k= 60 lb/it, support a block of mass m = 0.5 lb. Bar AB is rigidly and lightly enough that its deflection and mass are negligible. Determine a) the equivalent stiffness of the springs, b) the total elongation of the springs, and c) the degrees-of- freedom the system. P3 m wwE

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

See similar textbooks

Similar questions

I will rate you with “LIKE/UPVOTE," if it is COMPLETE STEP-BY-STEP SOLUTION. If it is INCOMPLETE SOLUTION and there are SHORTCUTS OF SOLUTION, I will rate you with “DISLIKE/DOWNVOTE.” Topics we discussed: Statics of Rigid Bodies, Force System of a Force, Moment of a Force, Moment of a Force-Scalar Formulation, Moment of a Force-Vector Formulation, and Principle of Moment, Simplification of a Force System and Couple System, Reduction of Simple Distributed Load
1. In the laboratory, when you hanged 100 grams at the end of the spring it stretched 10 cm. You pulled the 100-gram mass 6 cm from its equilibrium position and let it go at t = 0. Find an equation for the position of the mass as a function of time t. 2. The scale of a spring balance found in an old Physics lab reads from 0 to 15.0 kg is 12.0 cm long. To know its other specifications, a package was suspended from it and it was found to oscillate vertically with a frequency of 2.00 Hz. Calculate the spring constant of the balance? (b) How much does the package weigh?
Q2 Consider a conical receiver shown in Figure 2. The inlet and outlet liquid volumetric flow rates are Fl and F2, respectiveily. ccorresponding radius in r) Figure 2 Conicul tank Develop the model equation with necessary assumption(s) with respect to the liquid height h. ii. What type of mathematical model is this? 1 R %3D Hint: Model: = F, – Fz, where the volume V=r h=nh, since = substitute V and Fz expressions and get the final form. %3D %3D %3D dt H.
01(1) 1 N-m-s/rad T(t) 02(1) 18 N-m-s/rad + 3 kg-m? 3 kg-m2 3 N-m/rad 9 N-m/rad (a) Figure P2.16a O John Wiley & Sons, Inc. All rights reserved. The matrix form of the system is 5s +9s +9 (s+9) а. (s+8) s? +s+1 5s2 +9s +9 b. -(s+9) -(s +9) 3s? + s+120,(s), 5s² +9s +9 (s+9) c. -(s+9) 3s? +s+12 5s +9s +9 d. -(s+9) F(s) -(s +9) 3s +s+120,(s), Select one: а. С O b. b O c. d d. a
2.7 A simple 1-DOF mechanical system is presented in Fig. P2.7. Displacement z is measured from the undeflected spring position. External force fa(t) is applied directly to mass m. The spring force obeys a nonlinear relationship with displacement Fk = k₁z+k3 2³ Derive the mathematical model of the mechanical system. Figure P2.7 fa(t)- Z m Nonlinear spring www b
lail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x Homework Problerns(First Law)_S x noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf UTIONS.pdf 4 / 4 100% Problem-4: When a system is taken from a state-a to a state-b, the figure along path a-c-b, 84 kJ of heat flow into the system, and the system does 32 kJ of work. (i) How much will the heat that flows into the system along the path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ) (ii) When the system is returned from b to a along the curved path, the work done on the system is 21 kJ. Does the system absorb or liberate heat, and how much? (Answer:-73 k]) (iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db. (Answer: 52.5 kJ, 10 kJ)
A simple model of blood flow through the descending aorta is provided at the right. Total flow into the aorta is given by Q. The model includes the effects of vessel taper and outflow through 10 tributary arteries, through which the flow is assumed to be equal and given by q. We will assume that the blood is in-viscid and that the flow is steady and laminar. The effects of gravity are neglected. A₁ P₁ A₂ P₂ Find the pressure (P2) at bottom outlet in terms of Q, P₁, and A₁ for the three cases: a) For a tapered vessel for which A2 = A₁/2; and q = 0. b) For a vessel without a taper, but with q = Q/20. c) For a tapered vessel for which A2 = A₁/2 and q = Q/20.
is a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². DO C.D Frontly у Your tasks: No Deflection m k Fg = mg Initial Condition y m k Write down an expression for the total energy If as the sum Write down an expression for the total energy H Fg = mg Figure 3: System schematic for Problem 4. Yi & X Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. as the sum of potential and kinetic energy in terms of y, y, yi C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of…
1) The first man who studied and partially understood the kinematics of a particle falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He constructed an apparatus consisting of two vertical boards, hinged together on one side and covered with blotting paper on the inside faces. A leaking water tap lets drops fall down between the boards at presumably equal intervals of time. When a string is suddenly pulled, the boards are clapped together and the positions of the drops on the blotters can be inspected. Suppose that the vertical boards are 3 feet long and the leaking faucet is at such height and the rate of dropping is so regulated that when a drop is just coming out of the faucet, the next or second drop is just at the top of the boards and the sixth drop is at the bottom of the boards, while drops 3, 4 and 5 are between the boards. Calculate the number of drops leaving the faucet per second. ANS. 11.35 drops/sec
x2(t) 1 N/m ft) 1 kg 1 N-s/m 1 kg Frictionless Figure P2.10 O John Wiley & Sons, Inc. All rights reserved. The matrix form of the system is s'+s+1 (s+1) X,(s)) (F(s)) a. (s + 2) s+s+1) X,(s)
3G 4G 9:1V docs.google.com/forms :D Mechanics / صباحي *مطلوب Untitled Section F1 F2 a F3 B. d b C F4 D Consider the following values: - F5 a = 13 m; b = 8 m; c = 10 m; d = 5 m; F1 = 3 kN; F2 = 11 kN; F3 = 2 kN; F4 = 20 kN; F5 = 2 kN; a = 30° , 0 = 60° B = 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) 19.2 kN.m b) 32.7 kN.m c) 44.6 kN.m d) 29.8 kN.m e) 14.1 kN.m f) 21.3 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) 98.8 kN.m b) 23.7 kN.m c) 81.6 kN.m d) 65.6 kN.m e) 91.1 kN.m f) 74.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) 125.7 kN.m b) 111.1 kN.m c) 74.6 kN.m d) 109.4 kN.m e) 24.1 kN.m f) 65.3 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) 17.8 kN.m b) 88.7 kN.m c) 10.6 kN.m d) 59.5 kN.m e) 29.1 kN.m f) 70.1 kN.m 5] What is the moment of the force F2 about point E? Activate V ) 21.3 kN.m Go to Setting…
An automobile moving over a rough road can be modeled considering (a) weight of the car body, passengers, seats, front wheels, and rear wheels; (b) elasticity of tires (suspension), main springs, and seats; and (c) damping of the seats, shock absorbers, and tires. Develop three mathematical models of the system using a gradual refinement in the modeling process.