STATICS - Lecture Notes / Mehmet Zor
1
23 Agust 2024
1. Vectors and Vector Operations
240mm
400mm
480mm
320mm
B
O
C
A
P
V
z
x
y
If the magnitude of the V vector in the system shown is 200 and the magnitude of the P vector is 600, find the vector expressions of V and P.
Question 1.1
STATICS - Lecture Notes / Mehmet Zor
2
23 Agust 2024
Since
(Industrial Engineering Static 1st midterm-2007)
Question 1.2
1. Vectors and Vector Operations
Calculate the operation
;
;
STATICS - Lecture Notes / Mehmet Zor
3
23 Agust 2024
1. Vectors and Vector Operations
Question 1.3 (*)
STATICS - Lecture Notes / Mehmet Zor
4
23 Agust 2024
The vectors shown in the figure are:
and
It is given as
a-) Calculate the value of the angle 𝜃 between these vectors.
b) Calculate the magnitude of the sum of these vectors.
Answers: a-) 70.55o b-) 10.05
1. Vectors and Vector Operations
Question 1.4 (*)
Accordingly;
STATICS - Lecture Notes / Mehmet Zor
5
23 Agust 2024
1. Vectors and Vector Operations
A
O
C (-3,2,2)
B (4,3,0)
z
x
y
n
(0,0,8)
Question 1.5 (*)
Answer:
STATICS - Lecture Notes / Mehmet Zor
6
23 Agust 2024
Question 1.6
If F1=10kN (applied perpendicular to the middle of the DCBF plane); M1= 20kNm (applied to the EFD plane), express the F1 and M1 values as vectors.
Answers:
1. Vectors and Vector Operations
F