PROBLEM 1: Consider the force system shown with the following forces and given angles F₁ = 85 KN F₂=33 KN F3-90 KN 0₁-15⁰ 0212⁰ 93-20⁰ 94 = 44" F₁ ee F₂ DO NOT INCLUDE NEGATIVE SIGNS IN YOUR ANSWERS . Calculate the magnitude and direction of resultant with respect to the x-axis 1.R= KN use 2 decimal places 20= use 3 decimal places . Calculate the moment of the force system about point A, if L = 3 m 1 Ma KN-m use 3 decimal places F3

PROBLEM 1: Consider the force system shown with the following forces and given angles F₁ = 85 KN F₂=33 KN F3-90 KN 0₁-15⁰ 0212⁰ 93-20⁰ 94 = 44" F₁ ee F₂ DO NOT INCLUDE NEGATIVE SIGNS IN YOUR ANSWERS . Calculate the magnitude and direction of resultant with respect to the x-axis 1.R= KN use 2 decimal places 20= use 3 decimal places . Calculate the moment of the force system about point A, if L = 3 m 1 Ma KN-m use 3 decimal places F3

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

Determine the magnitude of the vector difference V' = V2 -2V, and the angle 0, which V' makes counterclockwise from the positive x-axis. The angle 0, will be a positive number between 0 and 360°. Complete both graphical and algebraic solutions. You will have to draw an accurate figure for the graphical solution. y V = 28 unit$ V = 31 units 4 2 29° Answers: %3D V' = i units
Graphical Method : Polygon Method F1 - 150N, 30° N of E F2 - 100N, 60° E of S 1) Find the Length and Angle 2) Find Resultant Force Vector Magnitude and %Error 3) Find Resultant Force Vector Direction and %Error
$ Magnitude R= Direction 8 = Three forces act on point : A = 60 N at 135°, B = and C in this diagram to the correct magnitudes and directions. When this has been done correctly the dotted vector will become solid. 50 N at -45° and, C= 75 N at 60° 2. Pick up vectors A, B and C by their tails, and move them into a tip to tail arrangement. When this has been correctly done the resultant R will appear. measured Estimate the magnitude and direction of the resultant Based on this diagram, estimate the magnitude R and direction of the resultant. from the force R using the tip-to-tail method. 1. Move the tips of forces A, B, Submit part Submit part
Figure F= Value Submit Request Answer Units A < Return to Assignment Provide Feedback 4 m 30° Determine the magnitude of the projection of force F=680 N along the u axis (Eigure 1) Express your answer to three significant figures and include the appropriate units. U1 4 m 2m < -y F 1 of 1
Engineering Analysis ENGR 1022. Vectors Homework #3 1. Compute the dot product for the following two vectors. A=51+3) and = 31-10) 2. Compute the cross product for the following vectors? C= 61-9) and 5 =91-4k 3. What is the force in cable AC? See diagram below. B 500 lb 4. The magnitude of torque equals force times distance. The vector form is r=7x F. F is the force vector and F is the position vector. You are pushing on a merry-go-round with a radius of 5 ft with a force of 40 lbs. What is the torque vector value? The z axis is pointing out of the sheet of paper. See diagram below. y 5. Show that vectors 7,7, and F in problem 4 are all perpendicular to each other. University of Arkans Fot S5210 Grand Avenue PO, Box 3649 Fort South, Arkama 72933-3649-475-753-7000
HOMEWORK TUTORIAL (continued) 21 Q4 (2-61): The stock S mounted on the lathe is subjected to a force F, which is caused by the die D. Determine the coordinate direction angle B and express the force as a Cartesian vector. Given: F = 60N a = 60deg y = 30deg Notes Comments 548 PM 5/4/2021 1 of 23 2 English Malaysia a E a d0 ENG O Type here to search
The resultant of the concurrent forces in Figure 1-33 is 200 N up to the left at 0, = 60°. Compute the values of F and 0 required to give this resultant. F 500 N 30 240 N Figure 1-33
Problem 3: Now we will repeat the previous problem using the Cartesian method. Values: FA = 20 N FB = 30 N a = 25° Use the Cartesian method to determine... a) the magnitude of the resultant force on the bolt. b) the angle made by the resultant, as measured relative to the positive x-axis. Break individual forces into Cartesian components This is the method you are probably more familiar with. We are going to break each force into its respective x and y components, and then add the components together to get the resultant. We can therefore check our answers to the previous problem. Add components along x & y FA This is what we do in the real world by the way. When we don't have answers in the back of the book, we use different methods of achieving the same result, and if we don't get the same result, we know something is wrong. Here's an illustration of what we're doing: FIX X α FRY FB FRX Determine magnitude and direction of resultant
6 m! 1.0 m TS 2 m 3 m 2m 2 m The magnitude of one of the forces is T2 = 80 kN. Find the rectangular representation of T2. * The magnitude of one of the forces is T2 = 80KN. Find the rec tan gular representation of T2. T2 = (-22.86 i + 34.29 / + 68.57 k) N T2 = (-22.86 i – 34.29 j + 68.57 k) N T2 = (22.86 i - 34.29 j + 68.57 k) N T2 = (22.86 i- 34.29 /-68.57 k) N
The position vector rAB = 150i – 85j + TAB2 k has magnitude equal to 188 m. a) Determine the z-component r48 2 (positive). b) If the coordinates of point A are (25, 50, -20)m, define the coordinates of point B. c) Find the angle in degrees of the vector with the y-axis. d) Express a unit vector parallel to rAB in terms of components.
! Required information A rope connecting points A and B supports the force Fshown in the figure. Write expressions using Cartesian vector representation for the following. Take L = 8 ft and F= 12 Ib. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. y B 30° ÜBA : the unit vector from B to A. ÜBA
a = 1 m b = 2 m c = 3 m Force AB = 500 Newtons FAB Find the y-component of unit vector AC. (Hint: the value should be less than 1). Find the z-component of unit vector AC. (Hint: the value should be less than 1). Find the x-component of Force AB in N. If the calculated answer is not whole number, express it in 4 significant figures. If the value is negative, include a negative sign.