COSMOS: Complete Online Solutions Manual Organization System
Chapter 4, Solution 52.
Free-Body Diagram:
Geometry:
Distance BD =
(1.8)2 + (4)2 = 4.3863 m
Note also that: W = mg = (160 kg)(9.81 m/s2) = 1569.60 N
With MA = 360 N ⋅ m clockwise: (i.e. corresponding to Tmax )
ΣM A = 0:
1.8
− 360 N ⋅ m – [(540 N) cos 15o](5.6 m) +
Tmax (4 m) = 0
4.3863
Tmax = 1998.79 N
or Tmax = 1.999 kN
With MA = 360 N ⋅ m counter-clockwise: (i.e. corresponding to Tmin )
ΣM A = 0:
1.8
360 N ⋅ m – [(540 N) cos 15o](5.6 m) +
Tmin (4 m) = 0
4.3863
Tmin = 1560.16 N
or Tmin = 1.560 kN
COSMOS Chapter 4 Solution 52
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