COSMOS: Complete Online Solutions Manual Organization System
Chapter 3, Solution 50.
Based on M x = ( P cos φ ) ( 0.225 m ) sin θ − ( P sin φ ) ( 0.225 m ) cosθ
(1)
M y = − ( P cos φ )( 0.125 m )
(2)
M z = − ( P sin φ )( 0.125 m )
By
Equation ( 3) M z
− ( P sin φ )( 0.125 )
:
=
Equation ( 2 ) M y
− ( P cos φ )( 0.125 )
or
− 3.5
= tan φ ; φ = 9.9262°
− 20
From Equation (3):
− 3.5 N ⋅ m = − ( P sin 9.9262° )( 0.125 m )
P = 162.432 N
From Equation (1):
M x = (162.432 N )( 0.225 m )( cos 9.9262° sin 60° − sin 9.9262° cos 60° )
= 28.027 N ⋅ m
or M x = 28.0 N ⋅ m
.