Question

10. A force ? 1 of magnitude 6.00 newtons acts on an object at the origin in a direction θ = 30.0° above the positive x axis. A second force ? 2 of magnitude 5.00 newtons acts on the object in the direction of the positive y axis.

a. Find graphically the magnitude and direction of the resultant force ? 1 +? 2. (Do this on graph paper or engineering paper. Measure the resultant and the angle it forms.)

b. Use the component method to add the vectors. Express the resultant in unit vector notation.

11. Given the vectors ? = 2.00?̂+6.00?̂ and ? ⃗ = 3.00?̂−2.00?̂

a. Sketch the vector sum ? = ? +? ⃗

b. Calculate ? ⃗ ⃗ in terms of unit vectors. Determine the magnitude and direction of ? .

c. Do the same with ? ⃗⃗ = ? ⃗ ⃗ −? ⃗⃗ .

Answer 1