Vector A rightarrow has a magnitude of 2.0 and angle of 30 degree with the DC ax

Question

Vector A rightarrow has a magnitude of 2.0 and angle of 30 degree with the DC axis. Vector B has a magnitude of 3.0 and makes an angle of 45 degree with the x axis. Write the sum of the x components and the sum of the y components of A rightarrow and B rightarrow ? Draw the vector with these components on the plot? How does this compare to the sum A rightarrow + B rightarrow On the same plot draw the vector whose magnitude is the sum of the magnitude of A rightarrow and B rightarrow and that makes an angle with the x axis equal to the sum of the angles with the x axis of A rightarrow and B rightarrow? How does this compare to the magnitude of A rightarrow + B rightarrow and the angle A rightarrow + B rightarrow with this x axis?

Explanation / Answer

vector B---> 3.0 at 45 degrees
the x components are magnitude * cos theta
Ax = 2 cos 30 = 1.73 Bx = 3 cos 45 = 2.12
add these up to get sum of x ----> = 3.85
for y it is just magnitude * sin theta
Ay = 2 sin 30 = 1.00 By = 3 sin 45 = 2.12
sum = 3.12
draw this vector by going over 3.85 and up 3.12 -----> this is the sum of vector A and vector B
for this just draw a vector that has a magnitude of 2+3---> 5 at an angle of 30+45 degrees ---> 75 degrees this is not the sum of the vectors

Related Questions

Navigate

• Browse (All)
• Browse V
• Subjects

---

---

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