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# Static Systems: Calculating Forces

APPH12-HMHK1N

A ladder is leaning against a wall at an angle $\theta$ from the horizontal as in the diagram below. The ladder has wheels at the top to prevent accidental damage to the wall.

If the mass of the ladder is $m$ and its length is $l$, what is the magnitude of the force of friction between the ladder and the floor?

A

$mg\times\cos(\theta )$

B

$mgl\times\cos(\theta)$

C

$\dfrac { mg }{ 2 }\sin(\theta )$

D

$\dfrac { mg }{ 2 }\cot(\theta )$