Chapter 2 Problem 2001 The force F has a magnitude of 670 N

Chapter 2, Problem 2/001 The force F has a magnitude of 670 N. Express F as a vector in terms of the unit vectors i and j. Identify the x and y scalar components of F 3 F=670 N ; 30 I Answers: F= i) N Fx = Fy =

Solution

F = 670N

x-component:

F_x = -F sin 30^o

F_x = -670 sin 30^o

F_x = -335 N

y-component:

Fy = F cos 30^o

Fy = 670 cos 30^o

Fy = 580.2 N

vector form

F = -335iN + 580.2jN