Question

The Force Table - Vector Addition and Resolution "Vectors? I don't have any vectors, I'm just a kid."-From Flight of the Navigator PURPOSE To observe how forces acting on an object add to produces a net, resultant force To see the relationship between the equilibrant force relates to the resultant force To develop skills with graphical addition of vectors and vector components To develop skills with analytical addition of vectors and vector components EXPLORE THE FORCE TABLE APPARATUS; THEORY 490 g Set Vector Scale: 2 192 300 g 220 g 200g 200 9 Scale: 200g Snap Vectors to 90 90 a Home Vedors 130 Show Components 140 300 Masses on Hangers 20 20 0 20 50 vedor brighines 200 100 L K/ 200 500 g Table Ofentation 200 g 100 g 20 g 10 g Force Table Move your pointer ever objects, or in some cases labels, for more information KET 2014 Figure 1-The Force Table Apparatus Important Note: For each direction wer enter an angle between 0° and 360 with respect to the force table. Working with vectors graphically is somewhat imprecise. You should expect to see lower precision in this lab. But working with vectors graphically will give you a better understanding of vector addition and vector components. You can improve your precision by using the Zoom features of the apparatus. VPL Lab- Force Table Rev 12/19/18 ort WI ttttt III. SIMULATION OF A SYMMETRICAL SLACKWIRE PROBLEM. In Figure 10, Elvira has reached the center of the wire. This is where she would be if she rode a unicycle and just let it take her to the "bottom." The angle values are just guesses. They'd be between the 10 and 20° we had before, but the actual value would depend on the length of the wire and its elastic properties. Ts T 15 15° Wetoina Figure 10: Elvira at the Center of the Slackwire Without changing the masses used in part II, adjust both angles to 15° 1. What does the symmetry of the figure suggest about how the tensions Ti, and Ts should compare? 2. Similarly what can you say about comparative values of the x-components T and Th? (Ex. Maybe T- 2x T ?) What can you say about comparative values of the y-components Ty and T? 3. 4. Knowing that the weight being supported is 450 N, what can you say about actual values of the y-components Tty and Ty? 5. Ty Ty N You can now easily calculate Tr and hence Ty T-T N at 15 6. Show the calculation of Tr below. 7. Change each T to as close as you can get to this amount. Does this produce equilibrium? 8. With your apparatus, create the two vector arrows to match this amount- one for Ti and one for T. Add 7T+ Ta+W graphically. Draw or paste a copy of this graphical addition below.

Answer 1

T.inis Cquilibaiu dimchn) Y. T=T2 +2 T, inispo 8 G9 33 N T - 2 D 2.5 2 in is Tr 869 33 N den 269. 33 x cep15 2.2 Trx T, x = 839.31 N 869.33 ins* 22u.9 N