For the mechanical system shown in figure below, find the mathematical model T. F. = X(S)/F(s). 44 Input f(t) x(t) output I M k3 k2 b2 bl
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- 36- O A) 30 i- 19 k Nm B) 30 i+9k Nm C) 30 j-9k Nm O D) 12i+30j-9k Nm O E) 9j+30 k NmQ1:- if the La = [1 3 5] and B =[1:4:6)].... Find the force scaler and force vector?ll b) Obtain the mathematical model of the system shown in Figure Q2b using Newton's second law of motion, F=ma. k₁ w 3- 777777 C1 7771 k₂ D 7777 Figure: Q2b Page 2 of 7 A C2 1112
- A pole extends from the origin to point A. A wire connects points A and B. Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value a 4.5 m 2 m 2.5 m 1.5 m a. Determine the position vector from point A to origin (r AO), express as a cartesian vector. b. Determine the position vector from point A to B (7AB), express as a cartesian vector. Round your final answers to 3 significant figures. k) m AO k) m TABFind Ixx for the given Plane, where b =160m, d;=25m, b2=20m, d2=12Om, b3=50m & d3=20 m b3 d3 b2 d2 di bi The value of X= (unit in m) The value of Y= (unit in m) The moment of inertia for sec 1 = lyy1 = (unit in m4) The moment of inertia for sec 2 = lyy2 = (unit in m4) The moment of inertia for sec 3 = lyy3 = (unit in m4) The moment of inertia of the given plate = lyy = (unit in m4)Q4/ For the figure below, all dimensions in inch. A/The total Area : 3 1.5 2.5 2.5 2.5 2.5 Q4/B/ the value of X-bar is: O 0.5 O 0.987 0.398 O 2,5 O 0.254 O 0.65 O 0.55 0.857 1.06 O 0.487 O Other: O o O O OO
- Q3/For the network shown in the figure below, write nodal equations. R₂ www 20 Ry R₁' 103 www I 193 2 A Rs 100 Rs R3 www 20♫Example(8):-The dimension of various links in a mechanism, as shown in the figure, are as follows: AB = 60 mm; BC = 400 mm; CD = 150 mm; DE = 115 mm; and EF = 225 mm. Find the velocity of the slider (F) when the crank (AB) rotates uniformly in clockwise direction at a speed of (60 r.p.m). [Ans. 0.23 m/sec]. 225 110 30 90° E All dimensions in mm D OSITwo cables AB and AC are acting on the pole with forces FAB = 540N and FAC = 560N with parameters defining the attachment points shown in the table. We want to write the vector FAB in cartesian vector form. C X Y₂ parameters value units FAB 540 FAC 560 L ZI 3 7₂ 5.5 4 3.5 4 4 Submit Question N N m m m m m FAC A Y₁ Z write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. FAB= AB B L X1 N
- please send handwritten solution Q4 part h6. 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 Support2. A kilogram mass is attached to the end of the spring with spring constant 2 N/m. Find the equation of motion if the mass is initially released (set in motion) from rest from a point 1 meter above equilibrium position. (Use the convention that displacements measured below the equilibrium position are positive.) (a) Write the initial-value problem which describes the position of the mass. (b) Find the solution to your initial-value problem from part (a). (c) Graph the solution found in (b) on (0SEE MORE QUESTIONS