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Q.

Given figure shows a shovel used to lift earth (sand). A and B are hinges connecting the shovel to the two rods shown. The weight of the shovel and sand is Question Image acting at G


Question Image

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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is D.

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Detailed Solution

Concept- By adding up the moments of forces acting around point B, the above issue can be solved. In order to determine the desired outcome, the total of the horizontal and vertical components of force must also be determined.
The reaction forces at A and B, along with their respective x and y components, are illustrated in the free body diagram for the specified condition below.
Question ImageHere, Question Image and Question Image are the components of reaction force at point Question Image and Question Image.
From the given figure, applying the sum of moment about Question Image as,
Question ImageQuestion ImageQuestion ImageTaking sum of horizontal component of forces as,
Question ImageQuestion ImageQuestion ImageQuestion ImageTaking sum of vertical component of forces as,
Question ImageQuestion ImageQuestion ImageQuestion ImageThe reactive force at Question Image is,
Question ImageQuestion ImageQuestion ImageHence, option 4 is correct.
 
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