A uniform longrod of length L=4Lo (m) and mass M-=6mo kg is fixed to avertical wall by a hinge that it can freely rotate about the hinge . Other end of the rodis connected by a massless string and fixed to a ceilingas shown in Figuere. In addition, there is a box of mass m=12mo (kg) hanging vertically from the end of the rod as shown in Figure 2. As the string makes an angle of 45 from the ceiling, the rod + box syslem is obserwed to be in static equilibrium a) Using newton's first law, identify all forcesacfing to fhe System and find the magnitude of tension in the string connected to the ceiling? b) Find the force vector applied by the hinge to the rod? Calculate its magnitude and direction? (FGacts at the centerof mass point of the rod)

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A uniform longrod of length L= 4Lo (m) and mass M -=6mo kg is fixed to ave rtical wall by a hinge that it can
freely rotate about the hinge . Other end of the rodis connected by a massle ss string and fixed to a ceiling as
shown in Figuere. In addition, there is a box of mass m=12mo (kg) hanging vertically from the end of the rod as
shown in Figure 2. Asthe string makes an angle of 45 from the ceiling, the rod + box syslem is obserwed to be
in static equilibrium
a) Using newton's first law, identify all forces acfing to fhe System and find the magnitude of tension in the
string connected to the ceiling?
b) Find the force vector applied by the hinge to the rod? Calculate its magnitude and dire ction? (FGacts at the
centerof mass point of the rod)
(FG acts at the uater mass point
ok the rod)
45
A
M.
60°
hinge
Figure 2
Transcribed Image Text:A uniform longrod of length L= 4Lo (m) and mass M -=6mo kg is fixed to ave rtical wall by a hinge that it can freely rotate about the hinge . Other end of the rodis connected by a massle ss string and fixed to a ceiling as shown in Figuere. In addition, there is a box of mass m=12mo (kg) hanging vertically from the end of the rod as shown in Figure 2. Asthe string makes an angle of 45 from the ceiling, the rod + box syslem is obserwed to be in static equilibrium a) Using newton's first law, identify all forces acfing to fhe System and find the magnitude of tension in the string connected to the ceiling? b) Find the force vector applied by the hinge to the rod? Calculate its magnitude and dire ction? (FGacts at the centerof mass point of the rod) (FG acts at the uater mass point ok the rod) 45 A M. 60° hinge Figure 2
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