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  • Can someone explain A force of 40 N acts on a point B at theend of an L-shaped object, as shown inthe figure. The angle θ that will producemaximum moment of the force aboutpoint A is given by :

A force of 40 N acts on a point B at the
end of an L-shaped object, as shown in
the figure. The angle θ that will produce
maximum moment of the force about
point A is given by :

  • Option 1)

     tan\theta =\frac{1}{2}

     

     

     

  • Option 2)

    tan\theta =2

  • Option 3)

    tan\theta =4

  • Option 4)

    tan\theta =\frac{1}{4}

 

Answers (2)

best_answer

As we learned

 

Torque -

\underset{\tau }{\rightarrow}= \underset{r}{\rightarrow}\times \underset{F}{\rightarrow}   

 

- wherein

This can be calculated by using either  \tau=r_{1}F\; or\; \tau=r\cdot F_{1}

r_{1} = perpendicular distance from origin to the line of force.

F_{1} = component of force perpendicular to line joining force.

 

 

 

torque about A= (F\cos \theta )\cdot 4+(F\sin \theta )\cdot 2

for maximum torque

\frac{dI}{do}=0or 4f(-\sin \theta ) + 2f\cos \theta =0

2\sin \theta =\cos \theta or \tan \theta =\frac{1}{2}


Option 1)

 tan\theta =\frac{1}{2}

 

 

 

Option 2)

tan\theta =2

Option 3)

tan\theta =4

Option 4)

tan\theta =\frac{1}{4}

Posted by

Aadil

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