Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

E X PERIMEN T nd Resolution Addition and Re of Vectors: The Force t The tors: Th

ID: 1423452 • Letter: E

Question

E X PERIMEN T nd Resolution Addition and Re of Vectors: The Force t The tors: The Force Table Laboratory Report Note: Attach graphical analy DATA TABLE Parpose: To analyze analyses to Laboratory Report. To analy ze results of different methods of vector addition. Forces Graphical Analytical F, = (0.200)g N,o, = 30° | F, = (0.2008 N, ,-120° addition 1 |F, h" (0.150)g N, e,-80° (0.200g N, el-20. tor a addition 11 6-48 260 lector addition III F.-F, = (0.150)g N, ,-90° . Vector resolution IF=(0.300)g N, =60° F, = (0, 1008 N, 1-30° 753 198 Vector addition IV | F2 (0.2008 N, 2 = 90° F, = (0.300)g N.03-225° Vector addition V Show analytical calculations below (attach additional sheet if necessary) Don't forget units

Explanation / Answer

2
(a)
Directions of the resulatnts would change and would be Mirror image of what we got in the Addition of the Vectors.

Direction in different Cases are as below
(I)  4th Quadrant.
(II) 4th Quadrant.
(III) 4th Quadrant.

(b)
Let us take an example fo case II,
F1 = 0.2*COS(20) I^ + 0.2*SIN(20) J^
F2 = 0.15*COS(80) I^ + 0.2*SIN(20) J^

F1 + F2 = 0.213 I^ + 0.216 J^ = 0.30
F1 - F2 = 0.161I^ - 0.07 J^ = 0.175

Yes the Magnitude will be different,
The Magnitude of Vector Subtraction < Magnitude of Vector Addition.