5.1 resolving forces, 5.2 inclined planes

When can you resolve a force?

If a force is applied at an angle to the direction of motion you can resolve it to find the component of the force that acts in the direction of motion

What is the component of a force of magnitude F in a certain direction?

F cosθ, where θ is the size of the angle between the force and the direction

Example 1

Example 2

What can you use to find the resultant of two forces acting at an angle without resolving them into components?

You can use the triangle law

Example 3 pt1

Example 3 pt2

Example 4

What may be used to model situations involving objects on inclined planes?

Force diagrams

To solve problems involving inclined planes, what is it usually easier to resolve?

It is usually easier to resolve parallel to and at right angles to the plane

Example 5

Example 6

Example 7