Question

Tables 2 V VY 153.4 - 10.0 30.0 5.0 -10.0 Vector V a 11.2 b 31.6 -18.4 20.6 -14.0 Ē Complete Table 1 with the values of the Equilibrant vector (15) 20.0 -5.0 3. Using trig and the properties of vectors, show that for each vector the given polar coordinates are equal to the component coordinates. Show work for credit. (10 points) 4. Show that a + b = c. Show work. (10 points) Abcd 5. Two vectors are being added, one at an angle of 20.0°, and the other at 80.0°. The only thing you know about the magnitudes is they are both positive. Will the equilibrant vector be in the (a) first quadrant, (b) second quadrant, (c) third quadrant, (d) fourth quadrant or (e) you cannot tell which quadrant from the available information? Justify your answer. (10 points)

Answer 1

3 Ve= lv]cos) Vy = 1 V) sin(o) For vecton Va= 11.2 C08 (153.4) ç -10.01 -10.0 Il-3 sin (153.4) = 5.01 SS 5.0 vy of 29.98 ñ 30.0 Foon vecton Vx= 3106 cos (-1804) = Vy = 31.6 sin (-18.4) = -9.97 -10.0 For vecton Vx = 20.6 cos (-14) 19.98 h 20.0 -4-98 Vy 20.6 Sin (-14) = ñ -5.0

let by + 3 = Rx = axt bx -10 + 30 = ayt Ry 5 10 2-3 Rx Ra Ry Ry - 5 Rx = Vx (@) and Ry = and Ry = Vy (8) To calculate angle of Rx Pļi 명 Tano = Ry Rx 5 tant (-- -) = -14.03 -14° and Since, Rx = Vx (2) , Ry= Vy (2) OR = Oc ☆ R = 2 Hence Jie z