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 (TAB), express as a cartesian vector.
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- Two 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 NTwo 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 AB in cartesian vector form. C Y₂ parameters value units 540 560 5.5 4 3.5 FAB FAC L Z1 Y 72 4 4 Submit Question N N m m m m m A x + 247.123 Y₁ write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. FAB= 282.427 Z B xj+-388.337 NA‚A = r2 = 0.2 m ABo = rị = 0.5 m = 60° Kinematic diagram, the limb dimensions are given below, the drive link in the arm slide mechanism angular position 012 = 600 and the speed of the mechanism is constant 0 12 = as 50 rad /s 012 12 = 50 rad/s are given. Do the following operations respectively. a- Write the Vector Closure Equation and bring it into scalar %3D form. AO b- Find S13, 014 Konum by doing position analysis. c- Analyzing speed S13, 014 S13 Find 014 Bo 012 Ao
- A four-bar mechanism is used to transmit power to slider E. Link AC rotates counterclockwise at 100 rpm. A and B are fixed points. The following linkages are measured in cm: AC=35, AB=70, CD=45, BD=45, DE=40. Find the instantaneous velocity of slider E in cm/s 1.Draw the mechanism in appropriate scale on your paper2. Find the instantaneous linear velocity of C3. Find a point on your paper to draw the velocity polygon and scale the magnitude of the computed linearvelocity4. Use the relative velocity equation for finding the linearvelocity of D; ? = ? + ?? ? ?/?5. Remember that although the magnitudes are unknown, their directions can be identified6. Obtain the magnitudes of the unknown velocities from the velocity polygon7. For Link DE, repeat the process by using ? = ? + ??the line as much as needed8. Remember that E is a SLIDER therefore it can only goin the direction where its movement is not constrained? . Add the vector ? to the head of ? and extend?/? ?/??actuating limb angular position is given as 812= 60° and the speed of the mechanism is given as é12= 50 rad/s. Do the following operations respectively. Kinematic diagram and limb dimensions are given below, in the arm slide mechanism, the a-Write the Vector Closure Equation into scalar form. b-Find S13, 014 by position analysis. C-Find Sı3Ö14 by analyzing velocity. A9A = r2 = 0.2 m A,Bo = r = 0.5 m 012 = 60° 012 = 50 rad/s S13 014 Bo 012 ri A0rad The rod OA rotates clockwise at a constant angular velocity of 0 = (3) Two pin-connected slider block, located at B, move freely on OA. The curved rod is described by the equation r (300 (3-cos)) m. Hint: 1. Remember clockwise rotation is negative velocity. OA Variable 0₁ d₁ d₂ d3 0₁ d2 d3 Values for the figure are given in the following table. Note the figure may not be to scale. Value 110 degrees 0.45 m 0.1 m 0.275 m Using cylindrical components, a. Determine the cylinders's radial and transverse components of velocity at the instant shown, u, and vg. b. Determine the cylinders's radial and transverse components of acceleration at the instant shown, ar and ag. c. Determine the cylinder's magnitude of the velocity at the instant shown, ·M. d. Determine the cylinder's magnitude of the acceleration at the instant shown, |a1. Round your final answers to 3 significant digits/figures. 7= fr + a= M-C Hr+ m S M 82 He) Fe) m S m
- 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 NmAfter the web meeting, submit this document on Canvas Undel ne Meeting Assignment. This is an individual submission. TAE %3D Follow the steps below to express the force F, as a vector using the format: F, = F 1. Write the position vector: TAE = 4 ft 4 ft F = 300 lb 6 ft 6 ft 2. Find the magnitude of the position vector: 6 ft TAE = F = 400 lb 3. Find the unit vector by dividing the position vector by its own magnitude: NAE = 4. Write the force vector: F1 =FinAE =Two cables AB and AC are acting on the pole with forces FAB = 740N and FAC = 540N with parameters defining the attachment points shown in the table. We want to write the vector FAB in cartesian vector form. A FAC FAB L X2 Y2 Y1 X1 В parameters value units FAB FAC 740 N 540 N L 7 3.5 m 4 m Write the vector FAR in Cartensian Vector Notation. АВ Round your final answers to 3 significant figures. FAB = i + j+ 524
- Crack AB of a slider crack mechanism shown in Figure 2 rotate at a constant speed of 300 rpm in clockwise direction. The connecting rod BC has a length of 1 m and incline at 45° to vertically positioned piston C. B 1 m 0.2 m 459 Figure 2: Slider crank mechanism 3.1. Draw the displacement diagram of the mechanism shown in Figure 2 to scale. 3.2. Use a vector diagram to determine the velocity of the piston C and connecting rod BC. 3.3. Calculate the acceleration of piston C and the angular acceleration of connecting rod BC.$+2.5$41 543834 2 8 b. A student has written a mathematical model for a rotational mechanical system without gears and some data were missing as shown below: [4s² + 2s +5 -25 as 0 -2s 3s² + 4s +6 -(1+B) 0 -6 3s +6 [0₁(s)] 0₂ (s 03(s)] What are the values of a and B? 2. What is the degree of freedom of the system? Sketch the expected rotational mechanical system and show thetorque, angular displacements and all values of inertias, springs, and dampers on the sketch with 85²2445445+8 their units. (89² +2+5+8) (33+4)Given: N1 = 10, N2 = 20, N3 = 30, N4 = 40 J1 = 1, J2 = 2, J3 = 3, J4 = 4, J5 = 5, D1 = 1, and D2 = 2 Determine: 01(s)/Tl(s) T₁(1) 0₁ (1) CC N₂ D2, J2 N₁ J₁. Di N3 J3 N4 N₂0 JS J4