Problem 4.43 Part A Choose the correct expression for F in terms of 8, Fi, and F

Question

Problem 4.43 Part A Choose the correct expression for F in terms of 8, Fi, and F As shown in the figure below (Fiure 1), force vector Fi aways points in the +z direction, but makes an angle with the +z axis. A physics student is given the task of graphically determining the and y components of the sum of these vectors, R- Fi + F, for several different values of The magnitudes F, = F, sine+H, of F, and F, remain unchanged, only the angle is varied. The table shows the student's results Fy (N) F (N 11.4 10.4 7.5 5.3 My Answers Give Up 20° 35° 5.2 7.8 8.7 Part B Below is a linearized graph of the z component data with the F, values on the y axis and the cosine of on the z axis. Draw a best-fit line through the plotted 75° +add graph add points delateraph i graph inforeset? halp 12 10 gure 1 02 0.4 0.6 0.8 cos(e)

Explanation / Answer

4.43

from the given question

A. Fx = F1 + F2cos(theta)

hence option A

B. the best fit line can be drawn using a scale and a straight line close enough to all the given points

C. form the given data

11.4 = F1 + F2*cos(20)

10.4 = F1 + F2*cos(35)

hence

F2 = (11.4 - F1)/cos(20)

10.4 = F1 + (11.4 - F1)cos(35)/cos(20) = 0.1282766F1 + 9.9376467

F1 = 3.6043 N

D. F2 = (11.4 - F1)/cos(20) = 8.295 N

E. draw the graph by joining th epoints

F. F2*sin(theta) = Fy

F2*sin(20) = 3.1

F2 = 9.0637 N

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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