Chapter 01, Problem 50 Multiple Concept Example9 provides background pertinent t

Question

Chapter 01, Problem 50 Multiple Concept Example9 provides background pertinent to this problem. The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m B- 10.0 m C = 12.0 m, and D = 27.0 m. Determine the a magnitude and b) direction or the resultant that occurs when these vectors are added togethe Spec direction as a positive (counterclockwise) angle from the +x axis. +y 20.0 +1 5.050.0 (a) Number Units (b) Number the tolerance is +/-5% Units No units m/s LINK TO TEXT LINK TO SAMPLE PROBLEM mA3

Explanation / Answer

here,

A = 17 * ( - cos(20) i + sin(20) j)

A = - 15.97 i + 5.81 j

B = 10 j m

C = 12 * ( - cos(35) i + sin(35) j)

C = - 9.83 i + 6.88 j

D = 27 * (cos(50) i - sin(50) j)

D = 17.4 i - 20.7 j m

the resultant vector , R = A + B + C + D

R = - 8.4 i m + 1.99 j m

a)

the magnitude of R , |R| = sqrt(8.4^2 + 1.99^2)

|R| = 8.63 m

b)

direction , theta = arctan(1.99/(-8.4)) = 166.7 degree counterclockwise from +x axis

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.