Velocity, acceleration and force are examples of vector quantities. They have bo

Question

Velocity, acceleration and force are examples of vector quantities. They have both magnitude and direction. For this exercise, you will practice on finding the components of a vector, adding and subtracting vectors. These concepts are used In many areas of physics and mathematics. Find balancing force, components and resultant force. The plot shows a force vector, , inclined at an angle with respect to the x-axis. For this part, we wish to find the vector that balances the vector . On the graph, click at the location which represents the tip of the arrow for the force that balances the force P. Then click the "Submit Answer". (Note: The tail of the balancing vector is at the origin.) Tries 1/10 Previous Tries What Is the x component of the vector F? Tries 0/10 What Is the y component of the vector F? Tries 0/10 What is the angle a? Tries 0/10 What is the magnitude of a force that will balance the force F so that the net force is zero.? Tries 0/10 What is the angle of the force that balances the force F so that the net force is zero? Measure the angle from the +x-axis. Tries 0/10

Explanation / Answer

A) The x component is the x coordinate of the point at the end of the vector: 8 B) The y component is the y coordinate of the point at the end of the vector: 6 C) The angle is the arctan of the y comp/x comp: arctan(6/8) = 36.87 degrees D) It will be equal to the magnitude of the vector F: sqrt(6^2 + 8^2) = 10 E) The angle will be exactly opposite that of F, so we add 180 degrees to the angle alpha: 36.87 + 180 = 216.87 degrees

Related Questions

Navigate

• Browse (All)
• Browse V
• Subjects

---

---

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