3) If the magnitude of the resultant force is to be 500 N, directed along the positive y-axis, determine the magnitude of force F and its direction O in Figure 1.
3) If the magnitude of the resultant force is to be 500 N, directed along the positive y-axis, determine the magnitude of force F and its direction O in Figure 1.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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
Transcribed Image Text:The given force we have is:
700N at an angle 15° anticlockwise from -y axis.
And the required resultant force is 500N directed along +y axis.
Now, the x component of the force F should be equal to the x component of force 700N since there is no
resultant force in the x direction.
→700 cos 15° = F cos 0
F cos 0 = 676.14 N
Step2
b)
And the net force in the y axis should be equal to 500N.
→F sin 0 – 700 sin 15° = 500
→F sin 0 = 500 + 181.17
→F sin 0 = 681.17N
So, the angle of force F should be:
F sin 0
681.17'
F cos 0
(676.14,
(681.17)
tan 0 =
\676.14,
>0 = 45.212°
And the force F will be:
F cos 45.212°
= 676.14
→F = 959.76N
Therefore, The force F is 959.76N and the angle 0 is 45.212°

Transcribed Image Text:2) In Figure 1,
force and its direction, measured counterclockwise from the positive x-axis.
60° and F = 450 N, determine the magnitude of the resultant
F,
15°
700 N
Figure 1
3) If the magnitude of the resultant force is to be 500 N, directed along the
positive y-axis, determine the magnitude of force F and its direction O in
Figure 1.
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