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

Options

A. `tan theta=4`
B. `tan theta=(1)/(4)`
C. `tan theta=(1)/(2)`
D. `tan theta=2`

Answer

C

Explanation

Moment of force will be maximum when line of action of force is perpendicular to line AB because in this case we get maximum lever arm, which is the length of perpendicular drawn from the point A, on the line of action of the force.

`tantheta=(2)/(4)=(1)/(2)`
Hence option (c) is correct.