The dimensions of the lid of the chest in the figure are 732 x 1200 mm. If the pulling force emerging on the DEC rope that keeps the lid open is 54 N, Write the moment with respect to the origin (A) of the force exerted by the rope on D in terms of unit vectors.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The dimensions of the lid of the chest in the figure are 732 x 1200 mm. If the
pulling force emerging on the DEC rope that keeps the lid open is 54 N,
Write the moment with respect to the origin (A) of the force exerted by the
rope on D in terms of unit vectors.
Transcribed Image Text:The dimensions of the lid of the chest in the figure are 732 x 1200 mm. If the pulling force emerging on the DEC rope that keeps the lid open is 54 N, Write the moment with respect to the origin (A) of the force exerted by the rope on D in terms of unit vectors.
360
Transcribed Image Text:360
Expert Solution
Step 1

Given Data:

  • The force in the rope DE is TDE = 54 N.
  • The coordinate of point E is ( 360, 852,0)
  • The dimension of the lid is 732×1200 mm

The side view of the lid can be drawn as,

Mechanical Engineering homework question answer, step 1, image 1

 

 

 

Step 2

From the geometry,

sinθ=DMADsinθ=132 mm732 mmθ=10.38°

AM can be determined as,

AM=ADcosθ=732 mm×cos10.38°=720 mm

Thus, the coordinate of point D is (0,132,720).

 

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