Finding theta when moment is max

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SUMMARY

The discussion focuses on calculating the angle theta when the moment is maximized in a physics problem involving a 4 kN force and a 20 m lever arm. The initial calculation using the sine rule was incorrect due to a misunderstanding of units and the geometry of the triangle formed. The correct angle theta for maximum moment is 33.6 degrees, and the maximum moment achieved is 80 Nm. The importance of consistent units and proper application of the law of sines is emphasized.

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Homework Statement


to achieve max moment , the 4 kN must br perpendiclar to 20m , right ? so, i formed a cloased triangle and use sine rule to find the
tetha , 25/ sin90 = 4/sin tetha , i gt my tetha = 9.2 degree , but the ans given is 33.6degree
i gt max moment = 80Nm

Homework Equations

The Attempt at a Solution

 

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goldfish9776 said:

Homework Statement


to achieve max moment , the 4 kN must br perpendiclar to 20m , right ? so, i formed a cloased triangle and use sine rule to find the
tetha , 25/ sin90 = 4/sin tetha , i gt my tetha = 9.2 degree , but the ans given is 33.6degree
i gt max moment = 80Nm

Homework Equations

The Attempt at a Solution

You've applied the law of sines incorrectly to this problem. You can't measure the length of one side of a triangle in units of Newtons, and another in units of meters.
 
And don't forget that the pivot point is shown as 1.5 m above the ground.
 

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