COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 151.
For equivalence
ΣFx : − ( 90 N ) sin 30° + (125 N ) cos 40° = Rx
or Rx = 50.756 N
ΣFy : − ( 90 N ) cos30° − 200 N − (125 N ) sin 40° = Ry
or Ry = −358.29 N
and
( 50.756 )2 + ( −358.29 )2
R=
Then
tan θ =
Ry
Rx
=
−358.29
= −7.0591
50.756
= 361.87 N
∴ θ = −81.937°
or R = 362 N
81.9°
Also
ΣM A : M − ( 90 N ) sin 35° ( 0.6 m ) − ( 200 N ) cos 25° ( 0.85 m ) − (125 N ) sin 65° (1.25 m ) = 0
∴ M = 326.66 N ⋅ m
or M = 327 N ⋅ m
.
COSMOS Chapter 3 Solution 151
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