COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 142.
(a) Have
M B = rC/B FN
= ( 0.1 m )( 800 N )
= 80.0 N ⋅ m
or M B = 80.0 N ⋅ m
(b) By definition
M B = rA/B P sin θ
where
θ = 90° − ( 90° − 70° ) − α
= 90° − 20° − 10°
= 60°
∴ 80.0 N ⋅ m = ( 0.45 m ) P sin 60°
P = 205.28 N
or
P = 205 N
(c) For P to be minimum, it must be perpendicular to the line joining
points A and B. Thus, P must be directed as shown.
Thus
or
M B = dPmin = rA/B Pmin
80.0 N ⋅ m = ( 0.45 m ) Pmin
∴ Pmin = 177.778 N
or Pmin = 177.8 N
.
20°
COSMOS Chapter 3 Solution 142
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