Component Method:With your calculator, determine the x and y components of F1 and F2. Remember that Fx = Fcos θ and Fy = F sin θ. Find the x and y components of the resultant from the sum of x and y components. Draw a right triangle with x and y components as sides, and the hypotenuse representing the resultant. Calculate the magnitude of the resultant from the square root of (Rx2 + Ry2). Calculate the direction of the resultant by using θ R = tan-1 (Ry/Rx). ForceF.F₂Equilibrant FResultant FRForceF₁F₂Resultant FRForceF₁F₂Resultant F0.350.25Mass (kg)0.350.430.250.400.40Mass (kg)0.35Mass (kg) Force (N)0.250.29 kg3.432.454.2Force Table Assignment:TABLE 1: Experimental SolutionForce (N)0.35 X 9.81= 3.430.25 X 9.81= 2.450.45 X 9.81= 3.920.45 X 9.81= 3.92Force (N)3.432.450.29 x 9.81=2.84TABLE 2: Graphical SolutionDirection30⁰130⁰68.08XDirection30⁰-1.57130⁰1.4250⁰TABLE 3: Analytical Solution70⁰Direction30⁰13076⁰component componentdegree/radiandegree/radian2.97/0.529-1.57/-0.899Y1.873.58

Given,F1 = 3.43 NF2 = 2.45 NNote: Taking the direction CCW from positive x axis,θ1 =30°θ2 =130°For…

Answered: Component Method: With your calculator,…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: Motion In Two Dimensions

Section: Chapter Questions

Problem 4.22P: A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.70 m/s...

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Component Method: With your calculator, determine the x and y components of F1 and F2. Remember that Fx = Fcos θ and Fy = F sin θ. Find the x and y components of the resultant from the sum of x and y components. Draw a right triangle with x and y components as sides, and the hypotenuse representing the resultant. Calculate the magnitude of the resultant from the square root of (Rx2 + Ry2). Calculate the direction of the resultant by using θ R = tan-1 (Ry/Rx).

Force
F.
F₂
Equilibrant F
Resultant FR
Force
F₁
F₂
Resultant FR
Force
F₁
F₂
Resultant F
0.35
0.25
Mass (kg)
0.35
0.43
0.25
0.40
0.40
Mass (kg)
0.35
Mass (kg) Force (N)
0.25
0.29 kg
3.43
2.45
4.2
Force Table Assignment:
TABLE 1: Experimental Solution
Force (N)
0.35 X 9.81
= 3.43
0.25 X 9.81
= 2.45
0.45 X 9.81
= 3.92
0.45 X 9.81
= 3.92
Force (N)
3.43
2.45
0.29 x 9.81
=2.84
TABLE 2: Graphical Solution
Direction
30⁰
130⁰
68.08
X
Direction
30⁰
-1.57
130⁰
1.4
250⁰
TABLE 3: Analytical Solution
70⁰
Direction
30⁰
130
76⁰
component component
degree/radian
degree/radian
2.97/0.529
-1.57/-0.899
Y
1.87
3.58

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