Applications in Statics:
The Dot Product
• It can be used to calculate angle between the tails of the two vectors. (2D & 3D)
• It can be used to calculate the component of a force parallel and perpendicular to a given
axis. (2D & 3D)
Calculation of Angle:
Parallel & Perpendicular Components:
Aa = A∙ ua = Auacosθ = Acosθ
Vector Addition
Note that if A∙ B = 0 the vectors are
perpendicular to each other.
Pythagoras
Theorem
Asinθ
(When θ is known)
F2-26
(Solved in class)
Find the angle θ between the force F & the axis AB.
2-119 (Solved in class)
If the vertical force on the bolt is F = {-500 k} N as shown. Find the components of
this force acting along and perpendicular to the axis of the clamp OA.
Chap 01
(12th
Suggested Problems
ed)
Statics (ME-115)
(R. C. Hibbeler 12th edition)
1-7, 1-11, 1-14
Chap 02 (12th ed)
F2-2, 2-14, 2-31, F2-9, 2-35, 2-33, 2-60, 2-68, 2-80, F2-24, 2-94, 2-96, 2-103, F2-26, 2-120,
2-133
Practice Problems (Parallelogram Law)
F2-1, 2-10, 2-14, 2-22 (Hibbeler 12th Edition)
Practice Problems Rectangular Components
1
2