Activity 1-5: Breaking up Vectors into components Every vector can be thought of as two vectors...
Activity 1-6: Addition and Subtraction of Vectors by Components If we add two vectors, we can break up the addition by components. For example Since the x-components point in the same (or opposite direction), we can add the values of the components separately to get the overall vector component in that direction. Once we have the overall components, we can get the magnitude of the vector and its direction by using Pythagorean's theorem and trigonometry. In what follows, we will...
Interactive Exercises 3.04: Vector Addition Using Components The simulation (linked below) shows two displacement vectors, labeled a and b(See the blue and red, open tipped arrows, respectively.) The simulation also shows an xy coordinate system, and a series of grid lines, where the spacing between adjacent lines is 2 km. Question 1 What are the components ax and ay of the first displacement? ax km dy km By accessing this Question Assistance, you will learn while you earn points based...
1.) Vectors Can the x or y component of a vector ever have a greater magnitude than the vector itself has? Yes. The x component can, but the y component cannot. Yes, but only when the x and y components have equal magnitudes. Yes. Both components can. Yes. The y component can, but the x component cannot. No. Neither component can. 2.) A force vector has a magnitude of 370 newtons (N) and points at an angle of 53.0° below...
Interactive Exercises 3.02: Components of a Vector The simulation (linked below) shows a graphical representation of a vector a located in an xy coordinate system. With a mouse or your finger, you can move the head of the vector throughout the visible region of the coordinate system. The simulation shows the projection of the vector onto the x axis, which is the vector's x component ax. The simulation also shows the projection of the vector onto the y axis, which...
1.If there were a set-up with three vectors all lying in the rst quadrant, in which quadrant must the equilibrant be? Why? 2.What sources of error could exist to account for differences between the standard values and the graphical and experimental results? 3.The direction of the vector (the angle) was always measured counter clockwise from the positive x axis. If the angle were instead measured clockwise from the positive y-axis, how would that effect the way we determine the x-...
Interactive Exercises 3.03: Computing Components of a Vector (Given Magnitude and Direction) The Martian Exploration Rovers Spirit and Opportunity landed on Mars in 2004, with the purpose of studying geological features on the surface of the Red Planet in order to piece together the history of water on Mars. Both rovers far outlasted their life expectancy. In fact, Opportunity was still active eleven years after landing. Suppose the rover Opportunity is deciding in which direction to travel from a given...
some useful examples the 1st one is the question where x is a vector while the second are examples. (d) Now consider the N-dimensional vector x an the integral ((22%)lejbTA-lb. (23.46) det A By differentiating with respect to components of the vector b, and then setting b 0, show that (r,a) (23.47) (e) Using these results, argue that +(A)u(A (23.48) j k. (f) Write down an expression for the general case Ti.z) This is the basis of Wick's theorem in...
answer both please 3. (10 pts.) One often forgets the curl has a physical meaning. The curl operator differs from the divergence field to produce another field. Since vectors are more operator in that it acts on a_ complicated than scalars it is important to understand the purpose of the curl operator. Let E (r.y, :) be some electric field. The mathematical expression for the curl of is written as ex ey e .az _ ax)s+(a --dy)互 az广ㄨ oy The...
(2.2 Coaching Activity Three-dimensional Force Systems 4 of 5 > II Review Four forces are shown: F1, F2, F3, and F4. (Figure 1) Classify the x, y, and z components of each vector as being less than zero. equal to zero, or greater than zero. Drag the appropriate items to their respective bins. Learning Goal: To use the conditions of equilibrium to solve for unknown forces in a three-dimensional force system. For particle equilibrium, the sum of all forces must...
So I have no idea how to set up #1. I'm pretty sure I can find the particular solution once I know the equation, but I would just love some help of that as well. I included this second page as a formality, feel free not to use the website. . Introduction: An Army cannon is designed so that when a shell is fired from it, the carriage that the gun tube assembly sits on remains stationary, while the gun...