It is known that a force with a moment of 960 N · m about D is required to straighten the fence post CD. If the capacity of winch puller AB is 2400 N, determine the minimum value of distance d to create the specified moment about Point D.

Question-Answer › Category: Engineering Mechanics › It is known that a force with a moment of 960 N · m about D is required to straighten the fence post CD. If the capacity of winch puller AB is 2400 N, determine the minimum value of distance d to create the specified moment about Point D.

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Tuntun asked 1 year ago

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Sazid Ahmad answered 1 year ago

Step: 1

Draw the free-body diagram of the fence post:
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Step: 2

From the geometry of the figure, state as follows:

Here, the angle between ED and EC is and the distance between E and D is.

Step: 3

Consider the equilibrium of moments about point .

Here, the moment acting at D is and the maximum tension in cable BC is .
Substitute and in the above equation,

Step: 4

Solve the above quadratic equation for the value of d.

From the above data, the value of d should not be negative in sign. Hence, the value is.
Therefore, the minimum value of distance d to create a specified moment about the point D is .