1. A 6 N, west, and a 4 N, force, east, act concurrently on a point. Graphically and mathematically determine their resultant.
2. A 10 N, north; a 6 N, west; and an 8 N, east, force act on a point. Graphically and mathematically determine their resultant.
3. A man walks 3 m, north, and 4 m, east. Graphically and mathematically determine their resultant.
4. You have a treasure map with the following directions: Walk 8 steps south to the old tree, 6 steps east to the big rock, 10 steps north to the waterfall, and 10 steps west to the crooked tree. What is the displacement to the treasure?
5. What is the equilibrant force when a 10 N, west, and a 6 N, south, force act concurrently on a point?

1. Find the x- and the y-components of a 20 N, 30° west of south, vector.
2. Find the force component that pulls the box along the surface and the force component support the box’s weight. Find the normal force: A 30 N force applied at 25° to the horizontal pulls a 2 kg box along a surface.
3. Find the tension in the wire and the thrust in the bar. Angle between wire and bar is 30°. A 30 N weight hangs from the end of the bar.
   
4. Find the resultant force of the following vectors acting on point P: 60 N,135° and 80 N, 30°.
5. Find the resultant of the following forces acting concurrently on point P: 10 N, 60°, 25 N, 210°, and 15 N, 310°.

Vectors Notes

Vectors Homework