Mariam A.
asked • 09/26/22Can anyone help me with this question?
1) A vector A has a magnitude of 9 and is directed along an angle [theta= 30 degrees].
w.r.t the x-axis. its x component is............... , and y component is................. . Round up to two decimal spaces.
2) Vector B has magnitude of 12 and is directed at an angle [phi= 60 degrees]
w.r.t the x-axis. Compute its x, y components. Now add these components to the x and y components from the previous part. The sum of the x-components is............... , and that of y-components is.............. . Round up to two decimal spaces.
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1 Expert Answer
If you are using the math angle (0° is pos. x axis and CCl from there), then the component of any vector, V, is
Vx = |V|cosθ and Vy = |V|sinθ
Just make sure your calculator is in degrees, not radians.
Please consider a tutor. Take care.
Mariam A.
1) I calculated it x=7.79 and y= 4.50 2) I calculated it x=1.79 and y=14.89 But some of them are incorrect however I did in degrees, so I want to know the correct steps to solve them.
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09/26/22
JACQUES D.
tutor
Oh. Sorry. I missed that you were adding the vectors. The second angle values are 6 and 10.39. It looks like you subtracted the vx rather than added them (13.79, 14.89)
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09/26/22
Mariam A.
So should the first question will be x=7.79, y= 4.50? And why in second question the value for x is not equal -6? As I calculated it 12 cos (120)= -6
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09/26/22
JACQUES D.
tutor
Yes to 1st. As to the second, it says phi of 60 with respect to the x -axis. That means 60 is what is plugged in for the angle if they mean the positive x axis and CCl. Is there a diagram with the problem that shows the vector headings? There are 4 angles that satisfy "some angle from the x -axis".
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09/26/22
Mariam A.
Unfortunately there is no diagram for the question. But in the first question I got it partially right, however I don't know what's wrong in it.
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09/26/22
JACQUES D.
tutor
Did you try it with 30 and 60 which gives the answer that I gave?
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09/26/22
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Mariam A.
1) I calculated it x=7.79 and y= 4.50 2) I calculated it x=1.79 and y=14.89 But some of them are incorrect so I want to know the correct steps to solve them.09/26/22