M1 OCR: Vectors, Forces and Friction

Topic 1 of the OCR M1 A Level

HideShow resource information
  • Created by: Ayesha
  • Created on: 28-05-12 09:26
Preview of M1 OCR: Vectors, Forces and Friction

First 240 words of the document:

Mechanics
1. Vectors, Forces and Friction
Vectors have magnitude and direction
To find the resultant force, line up all the forces
tip to tail and connect them up
Use the sine / cosine rules and rules about
angles and parallel lines
Remember for bearings go clockwise
Unit Vectors
o Vector of magnitude 1
o Make components of the vector: i and j
o X direction: i
o Y direction: j
o E.g. if you have a vector 16i + 12j with a
magnitude 20, the unit vector is 1/20 (16i + 12j)
or 0.8i + 0.6j
When adding vectors: just add the i and j
components
o E.g. A = 3i + 2j plus B = 5i ­ 6j
o A + B = 8i ­ 4j
o To find the resultant force of A + B, make a
Pythagorean triangle
Making components
o X axis: v cos
o Y axis: v sin
o V = v cos i + v sin j
If a force is applied vertically it doesn't apply
at all horizontally and vice versa
If a force is applied at an angle then it is
applied vertically and horizontally
o Vertical component: F sin
o Horizontal component: F cos
On an inclined plane, resolve parallel and
perpendicular to the slope
o Weight acts straight downwards

Other pages in this set

Page 2

Preview of page 2

Here's a taster:

Reaction force goes upwards perpendicular to
the slope…read more

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all resources »