Question

In: Physics

Given the vector F1 = 100 N, Ѳ1 = 20o , and F2 = 200 N,...

Given the vector F1 = 100 N, Ѳ1 = 20o , and F2 = 200 N, Ѳ2 = 90o   and F3= 300 N, Ѳ3 =220o . Find the magnitude and direction of the resultant F= F1 + F2 + F3 using the following method:

  1. Analytical: Use the component method. (6pts.)
  2. Graphical: Use the polygon method. (6pts.)

Use a percent error calculation to determine how close the graphical result are to the analytical method.

Solutions

Expert Solution

so we see that graphical and analytic methods are very close to each other.

Please rate the answer. ?


Related Solutions

Two forces, vector F1 and F2, act at a point. The magnitude of F1 is 9.50...
Two forces, vector F1 and F2, act at a point. The magnitude of F1 is 9.50 N, and its direction is an angle 65.0 degrees above the negative direction of x-axis in the second quadrant. The magnitude of F2 is 5.50 N, and its direction is an angle 53.1 degrees below the negative direction of x-axis in the third quadrant. Part A: What is the x-component of the resultant force? Part B: What is the y-component of the resultant force?...
The magnitudes of F1, F2 and F3 are 300, 190 and 250 N, respectively. F1 is...
The magnitudes of F1, F2 and F3 are 300, 190 and 250 N, respectively. F1 is directed on the slope m = 0.6 m/m. F2 is directed alpha = 0.17 radians from F1. F3 is directed beta =123 degrees from F2. Determine the direction of the Resultant in degrees measured counter-clockwise from the + x-axis.
Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is...
Show that if (1) F1 and F2 are connected sets, and (2) F1 ∩ F2 is not empty, then  F1 ∪ F2 is connected. also Suppose that F is connected. Show that F¯ (the closure of F) is also connected.
Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector.
Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector. State the magnitude and coordinate direction angles of the resultant vector. 
The Fibonacci numbers are recursively dened by F1 = 1; F2 = 1 and for n...
The Fibonacci numbers are recursively dened by F1 = 1; F2 = 1 and for n > 1; F_(n+1) = F_n + F_(n-1): So the rst few Fibonacci Numbers are: 1; 1; 2; 3; 5; 8; 13; 21; 34; 55; 89; 144; : : : There are numerous properties of the Fibonacci numbers. a) Use the principle of Strong Induction to show that all integers n > 1 and m > 0 F_(n-1)F_(m )+ F_(n)F_(m+1) = F_(n+m): Solution. (Hint: Use...
Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude...
Consider two vectors F1 with magnitude 44 N inclined at 61 o and F2 with magnitude 98 N inclined at 139 o , measured from the positive x axis with counterclockwise positive. Find the direction of this resultant vector (between the limits of 0 and −180◦ from the positive x-axis). Answer in units of o . Your answer must be within ± 5.0%
Write the following vector in the component form and add them. F1 = 15 N at...
Write the following vector in the component form and add them. F1 = 15 N at 60o, F2 = 20 N at 150o, and F3 = 30 N at 260o.
Force F1=950 N has an angle of 30° with positive x-axis and Force F2=550 N has...
Force F1=950 N has an angle of 30° with positive x-axis and Force F2=550 N has an angle of -65° with positive x-axis. Find the values for F1x, F1y, F2x, F2y, Sum of Fx, Sum of Fy, and FR.
Compute each of the following: a. F1+F2+F3+F4+F5 b. F1+2+3+4 c. F3xF4 d. F3X4 Given that FN...
Compute each of the following: a. F1+F2+F3+F4+F5 b. F1+2+3+4 c. F3xF4 d. F3X4 Given that FN represents the Nth Fibonacci number, and that F31 =1,346, 269 and F33 = 3,524,578, find the following: a. F32 b. F34 25. Solve the quadratic equation using the quadratic formula: 3x^2-2x-11=0
Two forces, F1 and F2, act at a point, as shown in the picture....
Two forces, F1 and F2, act at a point, as shown in the picture. (Figure 1) F1 has a magnitude of 8.00 N and is directed at an angle of α = 62.0 ∘ above the negative x axis in the second quadrant. F2 has a magnitude of 5.60 N and is directed at an angle of β = 52.8 ∘ below the negative x axis in the thirdA) What is the x component Fx of the resultant force?Express your...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT