Test 1, Ch. 1-2

Question 1

Finding a resultant force

Answer 1

1. resolve each force into cartesian vector form(x and y components)
2. respective components are added using scalar algebra
3. Find the magnitude and direction of the resultant vector

Question 2

theta=

Answer 2

cos^-1(Fx/Fr)

Question 3

Beta

Answer 3

cos^-1(Fy/Fr)

Question 4

Gamma

Answer 4

cos^-1(Fz/Fr)

Question 5

How to find the direction angles if two arbitrary angles are given

Answer 5

A’=Asin(thi)
Az=Acos(thi)
Ax=A’cos(theta)
Ay=A’sin(theta)

Question 6

Position Vector

Answer 6

a fixed vector which locates a point in space relative to another point

Question 7

Cosine law

Answer 7

R=root(A^2+B^2-2ABcos(theta)

Question 8

Sin law

Answer 8

Sin(alpha)/A=sin(beta)/B=sin(theta)/R

See diagram in notes