Homework Assignment 1 Problem 2-3
Determine the magnitude of the resultant force FR = F 1 + F2 and its direction, measured
counterclockwise from the positive x axis.
Given:
F1 := 250lb
F2 := 375lb
θ := 30deg
φ := 45deg
Problem 2-7
The plate is subjected to the two forces at A and B as shown. Determine the magnitude of the
resultant of these two forces and its direction measured from the horizontal.
Units Used:
kN := 1000 × newton
Given:
FA := 8kN
FB := 6kN
θ := 60deg
φ := 40deg
Problem 2-16
Determine the design angle φ ( 0° ≤ φ ≤ 90° ) between struts AB and AC so that the horizontal
force F has a component F BA which acts up to the left, in the same direction as from B towards
A. Take θ = θ0
θ= 20 deg
F := 400N
FBA := 600N
Problem 2-44
Determine the magnitude and orientation, measured counterclockwise from the positive y-axis, of
the resultant force acting on the bracket.
Units Used:
Given:
FA := 700N
FB := 600N
θ = 20 deg
φ = 30 deg
Problem 2-50
Determine the magnitude and direction, measured counterclockwise from the positive x-axis, of the
resultant force acting on the ring at O. The car must be pulled straight ahead.
Units Used:
kN := 1000N
Given:
FA := 750N
θ := 45deg
FB := 800N
Problem 2-101
The load at A creates a force of F in wire AB. Express this force as a Cartesian vector acting on
A and directed toward B as shown. You may need to use cosines here. Find the distance from A
to B, call it dAB , it can be found by knowing the distance from A to B in the x-direction (dx)
distance in the y-direction (dy) and distance in z-direction (dz).
2
dAB2 = dx + dy2 + dz2
cosine x-dir = dx/dAB
cosine y-dir = dy/dAB
cosine z-dir = dz/dAB
Units Used:
Given:
F := 60lb
a := 10ft
b := 5ft
θ := 30deg