EXPERIMENT 4: “Addition of Forces and Vectors”1. What is “Translational Equilibrium”?2. Briefly explain " Graphical Method", and "Analytical Method" of performing the "addition of forces and vectors" in this lab. 3. What does “percent difference” represent in this experiment? ckXGraphical Method:Open withLet F1, F2, and F3 be the forces applied horizontally by the strings attached to the ring.Find the resultant FR of these forces graphically, using a tail-to-head diagram (polygon offorces). Make your plot as large as possible, filling a page of your lab notebook. Toaccomplish this choose a suitable scale and be sure to indicate it on your drawing (e.g. 1.0cm = 10 gmwt). Also indicate the reference direction you use (the direction from whichyou are measuring your angles). Be as precise as you can in using your ruler andprotractor to draw lengths and angles.Tiffany & Co. AF1s for $1 USD? - Enter our latest ReStockX a chanceGraphical Method (continued):27In "theory" the magnitude |FRI of FR should be zero; however you will get a smallresultant vector due to friction in the pulleys or drawing errors. Determine the magnitude[FR] in gmwt and its direction OR in degrees.Analytical (component) Method:Calculate (using trigonometry) the x- and y-components of each of the three forces basedon your measured values of the magnitude and direction of each force. Start by assigningx- and y- directions. It may be helpful if the direction of the x-axis is also the direction ofone of the three forces.Calculate the x- and y- components of the resultant force (FRx and Fry) by calculating thealgebraic sum of the three x-components and the three y-components, respectively.Calculate the magnitude [FR] and direction R of the resultant force from thesecomponents. Be sure to use the same reference axes in both methods! Theory:If several forces act on a body, the vector sum of these forces governs the motion of thebody. According to Newton's 1st Law of Motion the body will remain at rest (if originallyat rest) or will move with a constant velocity (if originally in motion) if the vector sum ofall forces acting on it is zero (the vector sum is called the resultant force). The body isthen said to be in translational equilibrium.In this experiment, we consider forces acting on a small body (a metal ring), arrangingthem so that the body is in translational equilibrium, and we determine how nearly theseforces satisfy the translational equilibrium condition that their vector sum is zero. Forceswill be measured in units called "gram-weight" (gmwt). One gmwt is the force of gravityon one gram of mass. Therefore a mass of M grams will correspond to a force of M gmwt.Ask your Instructor to discuss this further if you are still confused.Procedure:Note the strings already tied to the small ring at the center of the table. Clamp the pulleysat not-too-symmetrical angles (otherwise the case becomes trivial). Placing one of thepulleys at the 0° mark of the force table may be helpful to you but it is not necessary. Addweights to the hanger at the end of each string and adjust the position of the pulleys ifnecessary until the ring comes to rest at the exact center of the table. Tap or jiggle theforce table to reduce the effect of friction on the pulleys. Since the strings are radial fromthe center of the force table (especially if the pulleys are properly aligned) the directionof the forces may be read directly from the degree scale of the table.Record the angular position of the pulleys and the weight hanging from each string.(Remember to include the hanger weight in the overall weight.)Determination of the Resultant Force:Determine the vector sum of the horizontal forces acting on the ring in two ways:graphically, and analytically, i.e. by summing trigonometric components. (In the followingdiscussion vectors are shown in boldface letters.)

1. An object is said to be in translationational equilibrium when sum of all external forces acting…

Answered: ational Equilibrium”? 2. Briefly…

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...